 Educational Status 
Academical Degrees 
 Supervised PhD and MS Theses
 Articles and Proceedings 
Projects
 Administrative Responsibilities 
 Memberships to Scientific Establishments
 Awards 
Educational Status



PhD*

İstanbul
Technical University
(Nuclear Chemistry) 
1975

MS*

İstanbul
Technical University (Chemical Engineering)

1971

BS

İstanbul
Technical University (Chemical Engineering)

1971

At those years, undergraduate education
in İstanbul Technical University (İTU) was a five year
integrated program including studies both for B.S. and
M.S. Degrees, and graduates were owning "High Engineer"
degree which was officially recognized as M.S. Degree
of today. On the other hand, dissertation of Metin
Demiralp was in fact related to Theoretical Chemistry
which was not counted as a PhD field by the
Interuniversity Board of Turkey at those days and hence
the nearest field, Nuclear Chemistry, was entered as
the field of the dissertation in his Ph. D. Certification
Document (diploma). In reality, the field of Metin
Demiralp's studies gives very small intersection with
Nuclear Chemistry. His current actual research fields,
that is, the fields where he makes publications are in
Computational Science and Engineering which
requires a powerful, not purely but mostly, applied
mathematical background together with the basic concepts
of physics, chemistry, and computer sciences. This field
is under the roof of the Computational Science and
Engineering Department of Informatics Institute, in
İstanbul Technical University. A group is formed from
the Ph.D. and M.S. students studying on the topics in
these fields and from the visiting scientists. The name
of the group is "Group for Science and Methods of
Computing" and producing original ideas and making
publications in prestigious scientific journals and
giving talks in prestigious scientific meetings.
Metin Demiralp and his group
had a strong collaboration with Professor Herschel
Rabitz and his group in Princeton University (USA).
This collaboration has its roots in 1980. His group has
effective interactions with some other groups also,
inside and outside Türkiye.


[
Go back to Top
]
Academical Degrees



Assistant Professor

*

1975

Associate Professor

*

1981

Full
Professor

İst. Tech.
Univ., Appld Mech.
İst. Tech. Univ., Infmtcs Inst., Sci. of Comput.

1988 
2003
2003 Continuing 
Professor Metin Demiralp has never had a
position of Assistant or Associate Professor in any
university. Instead, since his graduation from İstanbul
Technical University in 1971 until June of 1988, he had
several positions for research scientists studying in
Applied Mathematics, in Research Institutes of Scientific
and Technical Council of Türkiye, located at Gebze, and
he was promoted up to and including the highest level
position, position for Senior Research Scientist.


[
Go back to Top
]
Business Life and Experience


TÜBİTAK (Full time): Business life of
Professor Metin Demiralp started at 1 October 1971 in
Applied Mathematics Division of Marmara Scientific and
Industrial Institute (an institute of Scientific and
Technical Council of Türkiye) located at Gebze. It is
an important fact that the business environment which
was totally directed to scientific research had
positively contributed to the rapid formation of his
scientific personality and the rapid development of his
scientific creativity to produce original ideas. This
business environment has been continued to exist until
his transfer to a Professor position in İstanbul
Technical University at June 1988. In this period of
time, roughly for 17 years, he took various
responsibilities under the titles, respectively "Junior
Research Scientist", "Research Scientist", and finally
"Senior Research Scientist" from his starting title
"Research Assistant" and had a productive scientific
life.
İTU (Science and Letters Faculty):
Professor Dr. Metin Demiralp was assigned to a
position of professor for "Applied Mechanics" in
Engineering Sciences Department of Science and Letters
Faculty in İstanbul Technical University at 21 June 1988.
In this department, he took responsibilites for research,
teaching, and academic administration and this continued
until September 2002.
TÜBİTAK (Part Time): Metin Demiralp
governed projects and conducted scientific research as
being a part time research scientist in Institute for
Sciences at Marmara Research Center of Scientific and
Technical Council of Türkiye, located in Gebze. This
activities were realized in the three year period
between 1990 and 1993.
İTU (Informatic Institute): Metin
Demiralp transferred to Informatics Institute of İstanbul
Technical University in September 2002. He is currently
a professor in the Computational Science and Engineering
Department of the same institute and conducting his
research and education activities especially in
Computational Science and Engineering.
Princeton University (USA):
Professor Metin Demiralp worked as a postdoctoral
researcher in Princeton University (New Jersey, USA)
for a 13 month period of time between 19791980.
Position was in the group of Professor Herschel Rabitz
who is a very good and wellknown scientist in Applied
Mathematics and Chemistry all over the world. Metin
Demiralp, after a roughly 5 year break, starting from
1985, joined with this group in semester breaks of
every year (winters and summers) for scientific research
collaboration. This, roughly 3 months per year,
collaboration continued until the fall of 2003 and
although it is physically ceased in the following years
the collaboration through Internet was still continuing
for a while and the produced findings were being
published in prestigious international scientific
journals. In the framework of this collaboration, very
important findings have been obtained and published
especially about the "Optimal Control of Molecular
Systems" and "High Dimensional Model Representation
(Approximation of Multivariate Functions)". These
findings and experiences have also been used in the
formation of a scientific research group and therefore
contributed very much to the scientific environment of
Türkiye.
Işık University (Support for Education and
Constructioning): Professor Metin Demiralp
gave supports at various levels to Işık University within
the permission of İstanbul Technical University. In this
framework, he contributed to the Computer Science and
Engineering Department in Engineering Faculty of the
university, by lecturing for various important topics,
by supervising senior theses, and by conducting various
administrative constructional projects. He was taken
the responsibility of administrating the department as
being vice chairman for a 18 month period of time. After
these actions, at 2004, there has been no relation to
this institution since both sides of the collaboration
stopped the alliance because of various reasons.
Neuroscience Group in Psychology Department,
University of Michigan at Ann Arbour (inofficial
collaboration for mathematics in neuro science):
Metin Demiralp had been in collaborations
with some members of this department to reveal various
mathematical aspects of the neuroscience. These efforts
led to the establishment of a theory later called
"Probabilistic Evolution Approach" to solve ordinary
differential equations under initial conditions in an
infinite linear and homogeneous vector differential
equation accompanied by a given initial vector value.
This happened at the end of first decade in 2000s.


[
Go back to Top
]
Supervised PhD and MS Theses


Metin Demiralp has supervised 8 defensed PhD theses
in Computational Science and Engineering Program of
Informatics Institute in İstanbul Technical University
until this update time. They are listed below in
chronological order.

PhD Theses
1.
M. Alper TUNGA, "Data Partitioning and
Multivariate Interpolation via Various High Dimensional
Model Representations", İstanbul Technical University,
Informatics Institute, Computational Science and
Engineering Program, (March 2006);
2.
İrem YAMAN, "Transformational High Dimensional
Model Representation Based Construction of Novel
Rational Approximants and Their Efficient Utilizations"
(in Turkish),
İstanbul Technical University, Informatics Institute,
Computational Science and Engineering Program,
(April 2009);
3.
Esma MERAL, "Analytic Results, Approximations,
Critical Control Times in the Optimal Control of the
Linearly Constructed Quantum Systems" (in Turkish),
İstanbul Technical University, Informatics Institute,
Computational Science and Engineering Program,
(April 2009);
4.
Burcu TUNGA, "Fluctuationless Matrix
Representation Based Weight Optimisation in High
Dimensional Model Representation" (in Turkish),
İstanbul Technical University, Informatics Institute,
Computational Science and Engineering Program,
(April 2010);
5.
Nejla ALTAY, "Optimisation of the High
Dimensional Model Representation Constancy Measurer in
the Numerical Solution of the Ordinary Differential
Equations" (in Turkish), İstanbul Technical
University, Informatics Institute, Computational
Science and Engineering Program, (November 2010);
6.
Sevda Üsküplü ALTINBAŞAK, "The Conversion of
Ordinary Differential Equations to a Universal Form via
Space Extension and Truncation Approximations" (in
Turkish), İstanbul Technical University, Informatics
Institute, Computational Science and Engineering Program,
(February 2011);
7.
Ayşegül KURŞUNLU, "High Dimensional Model
Representation Applications and Integration Based on
Fluctuationlessness Approximation in Function and
Derivative Value Production from a Data Set" (in
Turkish), İstanbul Technical University, Informatics
Institute, Computational Science and Engineering Program,
(February 2011).
8.
Mehmet Engin KANAL, "Parallelization of Data
Partitioning Methods via High Dimensional Model
Representation" (in Turkish), İstanbul Technical
University, Informatics Institute, Computational
Science and Engineering Program, (March 2013).
By the date, this update time, 6 PhD theses (authors:
Muzaffer AYVAZ, Evrim Korkmaz ÖZAY,
Coşar GÖZÜKIRMIZI, Berfin KALAY,
Semra BAYAT, Süha TUNA) are under
supervision of Metin Demiralp, in the Computational
Science and Engineering Program of Informatics Institute
in İstanbul Technical University, even some findings
are announced as conference proceedings.
Metin Demiralp officially
cosupervised two PhD theses completed in Middle East
Technical University, Ankara, TÜRKİYE. They are stated
below
1.
Tanıl ERGENÇ, "Evolution Operator Approach for
Solving Initial Value Problems", Middle East
Technical University, Mathematics Department,
(February 1988);
2.
Aydan PAMİR, "An Algebraic Method in Solving
Eigenvalue Problems", Middle East Technical
University, Mathematics Department, (April 1992);
Beside these ones another thesis
(author: Hasan TAŞELİ) was also partially
supervised by Metin Demiralp. The international
publications, 24 and 38, in SCI indexed journals are
two products of this work.
One other PhD thesis in Marmara University,
Mathematics Department, (author: Ercan GÜRVİT)
is also currently under official cosupervision of Metin
Demiralp.
By the this update time, Ayla OKAN,
Zeynep GÜNDOĞAR, and, Derya BODUR are also
PhD students under the supervising of Metin Demiralp.
Amongst these students Zeynep GÜNDOĞAR has passed his
proficiency exam and has started to her thesis while
Ayla OKAN is under the preparation for the proficiency
exam. Derya BODUR is at her last semester for courses.
The list of the MS theses supervised
by Metin Demiralp until now, this update time, are
given below in chronological order.

MS Theses
1.
Sedat EREN, "Adabas Database, Naturel Programming
Language and Cargo Reservation Project", (in Turkish)
İstanbul Technical University, Science and Letters
Faculty, Engineering Sciences Department, System Analysis
Program,(February 1992);
2.
Selim ESEN, "MODUS: A Novel Symbolic Interpreter
with SemiCompiler Property", (in Turkish) İstanbul
Technical University, Science and Letters Faculty,
Engineering Sciences Department, System Analysis Program,
(May 1993);
3.
Bülent DÜLGER, "Optimal Control of Harmonic
Oscillator", (in Turkish) İstanbul Technical
University, Science and Letters Faculty, Engineering
Sciences Department, System Analysis Program,
(October 1993);
4.
Nazım KOÇ, "An Interpreter Reducing Differential
Equations to Polynomial Structure: Eytişim", (in Turkish)
İstanbul Technical University, Science and Letters
Faculty, Engineering Sciences Department, System Analysis
Program, (October 1993);
5.
Ayhan YALKUT, "Evaluation of the Roots of the
Polynomials with Complex Coefficients via Computer
Program", (in Turkish) İstanbul Technical University,
Science and Letters Faculty, Engineering Sciences
Department, System Analysis Program, (January 1994);
6.
Linnar Tuğba MAKBULOĞLU, "Basis Operator
Representation and Dynamical Applications in Quantum
Systems with Stark Potential", (in Turkish) İstanbul
Technical University, Science and Letters Faculty,
Engineering Sciences Department, System Analysis Program,
(February 1995);
7.
Tülay ŞEN, "Basis Operator Representation and
Dynamical Applications in Hydrogenatomlike Quantum
Systems", (in Turkish) İstanbul Technical University,
Science and Letters Faculty, Engineering Sciences
Department, System Analysis Program;
8.
Serap PALA, "Realisation of a Feedback Structure
in Computer for Optimisation Problems with Mixed Boundary
Conditions", (in Turkish) İstanbul Technical University,
Science and Letters Faculty, Engineering Sciences
Department, System Analysis Program,(February 1995);
9.
Özlem ERENOĞLU, "Construction of Dynamical
Equations for a Fourth Degree Anharmonic Oscillator via
Basis Operator Expansions", (in Turkish) İstanbul
Technical University, Science and Letters Faculty,
Engineering Sciences Department, System Analysis Program,
(February 1995);
10.
Ebru NUHOĞLU, "Energy Spectrum Determination via
Basis Operator Expansions: Quantum Anharmonic Oscillator",
(in Turkish) İstanbul Technical University, Science and
Letters Faculty, Engineering Sciences Department, System
Analysis Program;
11.
Hakan KAYIR, "PostScript Language and Graphical
Applications with PostScript on Linux Operating System,
(in Turkish) İstanbul Technical University, Science
and Letters Faculty, Engineering Sciences Department,
System Analysis Program, (June 1995);
12.
Fatma ALTINKAYNAK, "Utilization of the Fluctuation
Variables in the Construction of the Equations of Motion
for the Anharmonic Oscillator", (in Turkish) İstanbul
Technical University, Science and Letters Faculty,
Engineering Sciences Department, System Analysis Program,
(February 1996);
13.
Özlem GÜRKESKİN, "Dynamical Investigations for the
Generalised Hydrogen Atom Structure via Basis Operator",
(in Turkish) İstanbul Technical University, Science
and Letters Faculty, Engineering Sciences Department,
System Analysis Program, (February 1996);
14.
Nuran ESEN, "X Window Tutorial Program", (in
Turkish) İstanbul Technical University, Science and
Letters Faculty, Engineering Sciences Department, System
Analysis Program, (June 1996);
15.
Esma MERAL, "Basis Operator Representation and
Dynamical Applications in Quantum Systems with Yukawa
Potential", (in Turkish) İstanbul Technical
University, Science and Letters Faculty, Engineering
Sciences Department, System Analysis Program;
16.
Ender ÖZTAŞ, "Computer Simulation of Certain
Quantum Mechanical Systems", (in Turkish) İstanbul
Technical University, Science and Letters Faculty,
Engineering Sciences Department, System Analysis
Program, (February 1997);
17.
Burcu AKTAŞ, "C Programming Language Tutorial
Program on Linux Operating System", (in Turkish)
İstanbul Technical University, Science and Letters
Faculty, Engineering Sciences Department, System
Analysis Program, (June 1998);
18.
Aslı CESUR, "Forward Evolution of Quantum
Harmonic Oscillator Interacting with an External Field",
(in Turkish) İstanbul Technical University, Science
and Letters Faculty, Engineering Sciences Department,
System Analysis Program, (June 1998);
19.
Ahmet Okay AKYÜZ, "Oracle Database Management
System and its Certain Applications", (in Turkish)
İstanbul Technical University, Science and Letters
Faculty, Engineering Sciences Department, System
Analysis Program, (January 1999);
20.
Aydın ÇELİKTEN, "TeX and PICTEX Tutorial
Programs for Linux Operating System", (in Turkish)
İstanbul Technical University, Science and Letters
Faculty, Engineering Sciences Department, System
Analysis Program;
21.
Engin KAVAS, "Design of a Dynamical and Controlled
Web Server", (in Turkish) İstanbul Technical
University, Science and Letters Faculty, Engineering
Sciences Department, System Analysis Program,
(March 2000);
22.
Rahşan TİKEN, "Utilization of Image Fonts Through
DHTML in the Design of Web Server: TEX2DHTML Converter",
(in Turkish) İstanbul Technical University, Science
and Letters Faculty, Engineering Sciences Department,
System Analysis Program, (June 2000);
23.
Yeşim ŞAHİN, "Forming a Dynamical Structure
Including SQL and PL/SQL Features and Applications on
Oracle Database", (in Turkish) İstanbul Technical
University, Science and Letters Faculty, Engineering
Sciences Department, System Analysis Program,
(June 2000);
24.
Alper TUNGA, "Registration, Evaluation, and Exam
Program Package at Education in Virtual Medium and Web
Server", (in Turkish) İstanbul Technical University,
Science and Letters Faculty, Engineering Sciences
Department, System Analysis Program;
25.
Erdal MUTLU, "A Java Based Tutorial Software
Design", (in Turkish) İstanbul Technical University,
Science and Letters Faculty, Engineering Sciences
Department, System Analysis Program, (June 2001);
26.
Abbas Ayhan KANMAZ, "Construction of a Symbolic
Software for the Component Evaluations of HDMR, FHDMR,
GHDMR" (in Turkish), İstanbul Technical University,
Informatics Institute, Computational Science and
Engineering Graduate Program for MS Degree,(May
2003);
27.
Ayşegül KURŞUNLU, "An Application of High
Dimensional Model Representation Multivariate Diffusion
Equations" (in Turkish), İstanbul Technical
University, Informatics Institute, Computational
Science and Engineering Graduate Program for MS Degree,
(May 2003);
28.
Berna FIRAT, "High Dimensional Model
Representation of the Weight Functions Describing
Irregular Hypersubspace via Linear Constraints"
(in Turkish), İstanbul Technical University,
Informatics Institute, Computational Science and
Engineering Graduate Program for MS Degree,
(May 2003);
29.
Nilay ŞENOL, "High Dimensional Model
Representaion of the Weight Functions Describing
Irregular Hypersubspace via a Second Degree Constraint"
(in Turkish), İstanbul Technical
University, Informatics Institute, Computational Science
and Engineering Graduate Program for MS Degree;
30.
İrem YAMAN, "High Dimensional Model Representation
Applications in Exponential Matrix Representation" (in
Turkish), İstanbul Technical University, Informatics
Institute, Computational Science and Engineering Graduate
Program for MS Degree, (May 2003);
31.
Esen AKKEMİK, "Solving Matrix Eigenvalue Problem
Using High Dimensional Model Representation",
İstanbul Technical University, Informatics Institute,
Computational Science and Engineering Graduate Program
for MS Degree, (August 2003);
32.
Burcu TUNGA, "Optimally Controlled Dynamics of
One Dimensional Harmonic Oscillator Under Linear Dipole
Functions and Quadratic Objective and Penalty Terms"
(in Turkish), İstanbul Technical University,
Informatics Institute, Computational Science and
Engineering Graduate Program for MS Degree,(January
2004);
33.
Tülin KAMAN, "Optimal Control, Stability,
Robustness, Expansion with Respect to Interaction Time
in Molecular Systems: Application to Harmonic Oscillator"
(in Turkish), İstanbul Technical University,
Informatics Institute, Computational Science and
Engineering Graduate Program for MS Degree, (April
2004);
34.
Berfin KALAY, "Fluctuationlessness Approximation
and Integral Folding in Numerical Integration" (in
Turkish), İstanbul Technical University, Informatics
Institute, Computational Science and Engineering
Graduate Program for MS Degree,(December 2007);
35.
Coşar GÖZÜKIRMIZI, "Certain Important Points in
Fluctuation Expansions Extended in Basis Set", for
Numerical Integration (in Turkish), İstanbul Technical
University, Informatics Institute, Computational Science
and Engineering Graduate Program for MS Degree,
(January 2009);
36.
Evrim KORKMAZ, "Combined Small Scale High
Dimensional Model Representation and its Utilization in
Multivariate Function Approximation" (in Turkish),
İstanbul Technical University, Informatics Institute,
Computational Science and Engineering Graduate Program
for MS Degree, (January 2009);
37.
Letisya DİVANYAN, "Weighted Reductive and HDMR
Based Decomposition of Multiway Arrays and Its
Application" (in Turkish), İstanbul Technical
University, Informatics Institute, Computational
Science and Engineering Graduate Program for MS Degree,
(June 2012);
38.
Derya BODUR, "A Perturbative Approach to High
Dimensional Model Representation Under Nonproduct Type
Weight and Over Orthogonal Geometry" (in Turkish),
İstanbul Technical University, Informatics Institute,
Computational Science and Engineering Graduate Program
for MS Degree, (December 2013);
The following three MS theses are also partially
supervised by Metin Demiralp:
1.
Zeynep GÜNDOĞAR, "Fundamental Properties of the
Conical Transformations in Transformational High
Dimensional Model Representation" (in Turkish),
Marmara University, Mathematics Department,
(December 2011);
2.
Ayla OKAN, "Weight Optimisation in Enhanced
Multivariate Product Representation Method" (in
Turkish), Marmara University, Mathematics Department
(December 2011);
3.
Fatih HUNUTLU, "Probabilistic Evolution Based
Investigations in Ordinary Differential Equations:
Numerical Investigation of Spectral and Evolutionary
Properties of Van Der Pol Systems" (in Turkish),
Marmara University, Mathematics Department
(2013);
By the date, this update time, four more Master students
of the Computational Science and Engineering Department
in Informatics Institute of İstanbul Technical University
are under supervision of Metin Demiralp: Gizem ÖZDEMİR
, Bahar Zora YOLCU, Alparslan PEHLİVAN
, Melike Ebru KIRKIN. The second and fourth
students are at course stage while they are also performing
preresearches for their theses. The other two students,
on the other hand at their thesis stage.


[
Go back to Top
]
Articles, Proceedings, Book Chapters


Articles published in international refereed
journals 
1.
Attila Aşkar and Metin Demiralp, "Variational timedependent perturbation
scheme based on the hydrodynamic analogy to Schrödinger's equation",
J. Chem. Phys., 60(7), pp. 27622766, Apr. 1974,
DOI: 10.1063/1.1681440
2.
Metin Demiralp, Erdoğan Şuhubi, "Discrete spectrum for a system of
electrically charged particles", J. Math. Phys., 18(4),
pp. 777785, Apr. 1977, DOI: 10.1063/1.523307
3.
Metin Demiralp, "Zeroth order hyperharmonic series in the discrete spectrum
of electrically charged particles", J. Chem. Phys., 72(6), pp.
38283836, Mar. 1980, DOI: 10.1063/1.439598
4.
Stuart D. Augustin, Metin Demiralp, and Herschel Rabitz, "Actionangle
variables for the quantum three particle system", J. Chem. Phys.,
73(1), pp. 268280, Apr. 1980, DOI: 10.1063/1.439926
5.
Metin Demiralp and Herschel Rabitz, "Chemical kinetic functional sensitivity
analysis: Elementary sensitivities", J. Chem. Phys., 74(6), pp.
33623375, Mar. 1980, DOI: 10.1063/1.441489
6.
Metin Demiralp and Herschel Rabitz, "Chemical kinetic functional sensitivity
analysis: Derived sensitivities", J. Chem. Phys., 75(4), pp.
18101819, Aug. 1981, DOI: 10.1063/1.442260
7.
Metin Demiralp and N. Abdülbaki Baykara, "Analytic evaluation of certain
zeroth order coulombic hyperangular interaction integrals", J. Math.
Phys., 22(11), pp. 24272432, Nov. 1981, DOI: 10.1063/1.524825
8.
Metin Demiralp and N. Abdülbaki Baykara, "Upper and lower bounds to zeroth
order Coulombic hyperangular interaction integrals", J. Math. Phys.,
23(9), pp. 16221627, Sep. 1982, DOI: 10.1063/1.525572
9.
Metin Demiralp, "A characteristic function approach to the discrete spectrum
of electrically charged particles", J. Math. Phys., 24(1),
pp. 101101, Jan. 1983, DOI: 10.1063/1.525577
10.
Metin Demiralp, "Exponential Factor Optimization in Characteristic Function
Method for Electrically Charged Particles", I.J. Quan. Chem.,
23(3), pp. 779787, Mar. 1983, DOI: 10.1002/qua.560230303
11.
Metin Demiralp, "Rational approximations to the quantum mechanical
representation for the solutions of the canonical equations",
Bull. Tech. Univ. Istanbul, 36(1), pp. 109124, 1983,
DOI: YOK
12.
N. Abdulbaki Baykara and Metin Demiralp, "Numerical evaluation of the
zeroth order coulombic hyperangular interaction integral", Bull.
Tech. Univ. Istanbul, 36(1), pp. 125140, 1983,
DOI: YOK
13.
Naşit Arı and Metin Demiralp, "A characteristic function approach to
the eigenvalues of an anharmonic oscillator", Bull. Tech. Univ.
Istanbul, 36(3), pp. 345359, 1983,
DOI: YOK
14.
Metin Demiralp, "An evolution operator approach to approximate the
solutions of ordinary differential equations", Bull. Tech. Univ.
Istanbul, 37(4), pp. 425445, 1984,
DOI: YOK
15.
Metin Demiralp, "Differentiation and recursion formulae for zeroth
order hyperharmonic tau integrals of electrically charged particles",
Bull. Tech. Univ. Istanbul, 38(1), pp. 113126, 1985,
DOI: YOK
16.
Naşit Arı and Metin Demiralp, "Energy levels of a twodimensional anharmonic
oscillator: Characteristic function approach", J. Math. Phys.,
26(6), pp. 11791185, Jun. 1985, DOI: 10.1063/1.526522
17.
Metin Demiralp, "A New Algebraic Approach to the Eigenvalue Problems of
Linear Differential Operators Without Integration", I. J. Quan. Chem.
, 29(2), pp. 221227, Feb. 1986, DOI: 10.1002/qua.560290212
18.
Hasan Taşeli and Metin Demiralp, "Convergent perturbation studies in
screened coulomb potential systems: analytic evaluations up to third
order for the Yukawa case", Theor. Chim. Acta, 71(4),
pp. 315325, May 1987, DOI: 10.1002/qua.560290212
19.
N. A. Baykara and M. Demiralp, "Analytic Evaluation of Equipotential
Hyperangular Interaction Integrals", Il Nuovo Cimento B,
100(2), pp. 161171, Aug. 1987, DOI: 10.1007/BF02722889
20.
M. Demiralp, N. A. Baykara, and H. Taşeli, "Convergent perturbation
studies in screened coulomb potential systems: a high precision numerical
via Laguerre basis set", Theor. Chim. Acta, 74(1),
pp. 3954, Jul. 1988, DOI: 10.1007/BF00570551
21.
N. A. Baykara and M. Demiralp, "Eigenlevel calculations for screened
coulomb potential systems via an integration free algorithm: Space
pruning technique", I. J. Quan. Chem., 34(3), pp. 231
245, Sep. 1988, DOI: 10.1002/qua.560340306
22.
H. Taşeli and M. Demiralp, "Studies on algebraic methods to solve
linear eigenvalue problems: generalised anharmonic oscillators",
J. Phys. A: Math: Gen:, 21(20), pp. 39033919, Nov.
1988, DOI: 10.1088/03054470/21/20/010
23.
Metin Demiralp, "Rapidly converging threshold value calculations in
screened coulomb potential systems: Critical values of the screening
parameter for the Yukawa case", Theor. Chim. Acta, 75
(3), pp. 223232, May 1989, DOI: 10.1007/BF00528567
24.
H. Taşeli, M. Demiralp, K. Kafalı, "Drag minimization in stokes flow",
Int. J. Engng. Sci., 27(6), pp. 633640, Jun. 1989,
DOI: 10.1016/00207225(89)900165
25.
Metin Demiralp, S. Burhanettin Altan, "An integrationfree algorithm
for the solution of regular boundary value problems: space pruning
approach", Int. J. Engng. Sci., 8(4), pp. 293302, Apr.
1990, DOI: 10.1016/00207225(90)90102O
26.
Metin Demiralp, Herschel Rabitz, "Factorization of certain evolution
operators using lie algebra: Formulation of the method", J. Math.
Chem., 6(1), pp. 165191, Dec. 1991, DOI: 10.1007/BF01192579
27.
Metin Demiralp, Herschel Rabitz, "Factorization of certain evolution
operators using lie algebra: Convergence Theorems", J. Math. Chem.
, 6(1), pp. 193204, Dec. 1991, DOI: 10.1007/BF01192580
28.
Metin Demiralp, N. A. Baykara, H. Taşeli, "A basis set comparison
in a variational scheme for the Yukawa potential", J. Math. Chem.
, 11(1), pp. 311323, Dec. 1992, DOI: 10.1007/BF01164211
29.
Metin Demiralp, Herschel Rabitz, "Lie algebraic factorization of
multivariable evolution operators: Definition and the solution of
the canonical problem", Int. J. Engng. Sci., 31(2),
pp. 307331, Feb. 1993, DOI: 10.1016/00207225(93)90043T
30.
Metin Demiralp, Herschel Rabitz, "Lie algebraic factorization of
multivariable evolution operators: Convergence theorems for the
canonical case", Int. J. Engng. Sci., 31(2),
pp. 333346, Feb. 1993, DOI: 10.1016/00207225(93)90044U
31.
Metin Demiralp, Herschel Rabitz, "Optimally controlled quantum mole
cular dynamics: A perturbation formulation and the existence of multiple
solutions", Phys. Rev. A, 47(2), pp. 809816, Feb. 1993,
DOI: 10.1103/PhysRevA.47.809
32.
Metin Demiralp, Herschel Rabitz, "Optimally controlled quantum mole
cular dynamics: The effect of nonlinearities on the magnitude and
multiplicity of control field solutions", Phys. Rev. A,
47(2), pp. 831837, Feb. 1993, DOI: 10.1103/PhysRevA.47.831
33.
N. A. Baykara, Metin Demiralp, "An autocoherent variational scheme
for Yukawa potential", J. Math. Chem., 16(1),
pp. 167183, Dec. 1994, DOI: 10.1007/BF01169205
34.
Metin Demiralp and Herschel Rabitz, "Optimal control in classical
molecular dynamics: A perturbation formulation and the existence
of multiple solutions", J. Math. Chem., 16(1),
pp. 185209, Dec. 1994, DOI: 10.1007/BF01169206
35.
Tanıl Ergenç and Metin Demiralp, "Formulation of some gaussian integ
rals over Rn via generating functions", I. J.
Comput. Math., 54(34), pp. 239248, Oct. 1994, DOI:
10.1080/00207169408804354
36.
Metin Demiralp, "Determination of the quantum motion of the one dimen
sional harmonic oscillator via expectation value evolutions", Bull.
Tech. Univ. Istanbul, 47(4), pp. 357375, 1994,
DOI: YOK
37.
Metin Demiralp, Herschel Rabitz, "Upper and lower bounds on the control
field and the quality of achieved optimally controlled quantum molecu
lar motion", J. Math. Chem., 19(3), pp. 337352, Sep. 1996,
DOI: 10.1007/BF01166724
38.
Metin Demiralp and Herschel Rabitz, "Dispersionfree wave packets and
feedback solitonic motion in controlled quantum dynamics", Phys.
Rev. A, 55(1), pp. 673677, Jan. 1997, DOI: 10.1103/PhysRevA.
55.673
39.
Hasan Taşeli, Metin Demiralp, "A new approach to the classical Stokes
flow problem: Part I, Methodology and firstorder analytical results",
J. Comp. and Appl. Math., 78(2), pp. 213232, Feb. 1997,
DOI: 10.1016/S03770427(96)001410
40.
Metin Demiralp and Herschel Rabitz, "Assessing optimality and robustness
of control over quantum dynamics", Phys. Rev. A, 57(4),
pp. 24202425, Apr. 1998, DOI: 10.1103/PhysRevA.57.2420
41.
Metin Demiralp and Herschel Rabitz, "Assessing optimality and robustness
for the control of dynamical systems", Phys. Rev. E, 61(3),
pp. 25692578, Mar. 1998, DOI: 10.1103/PhysRevE.61.2569
42.
G. Li, M. Artamonov, H. Rabitz, S.W. Wang, P. G. Georgopoulos, M.
Demiralp, "High dimensional model representations generated from low
order terms lpRSHDMR", J. Comput. Chem., 24(5), pp.
647656, Apr. 2003, DOI: 10.1002/jcc.10232
43.
M. Alper Tunga, Metin Demiralp, "A Factorized High Dimensional Model
Representation on the Partitioned Random Discrete Data", ANACM,
Applied Numerical Analysis and Computational Mathematics, 1
(1), pp. 231241, Mar. 2004, DOI: 10.1002/anac.200310020
44.
Burcu Tunga, Metin Demiralp, "Optimally Controlled Dynamics of One
Dimensional Harmonic Oscillator: Linear Dipole Function and Quadratic
Penalty", ANACM, Applied Numerical Analysis and Computational
Mathematics, WILEYVCH, 1(1), pp. 242250, Mar. 2004,
DOI:10.1002/anac.20031002
45.
Metin Demiralp, "Weighted Eigenvalue Problem Approach to the Critical
Value Determination of Screened Coulomb Potential Systems", ANACM,
Applied Numerical Analysis and Computational Mathematics, 1
(1), pp. 251259, Mar. 2004, DOI: 10.1002/anac.200310022
46.
Tülin Kaman, Metin Demiralp, "A Parametric Sensitivity Analysis for the
Solution of Extrema Evaluation Problems via a Dimensionality Reducing
Approximation Method", ANACM, Applied Numerical Analysis and
Computational Mathematics, 1(1), pp. 260269, Mar. 2004,
DOI: 10.1002/anac.200310023
47.
Ayşegül Kurşunlu, İrem Yaman, Metin Demiralp, "Optimal Control of One
Dimensional Quantum Harmonic Oscillator Under an External Field With
Quadratic Dipole Function and Penalty on Momentum: Construction of
the Linearised Field Amplitude Integral Equation", ANACM, Applied
Numerical Analysis and Computational Mathematics, 1(1),
pp. 270279, Mar. 2004, DOI: 10.1002/anac.200310024
48.
İrem Yaman, Metin Demiralp, "High Dimensional Model Representation
Approximation of an Evolution Operator with a First Order Partial
Differential Operator Argument", ANACM, Applied Numerical Analysis
and Computational Mathematics, 1(1), pp. 280289, Mar. 2004,
DOI: 10.1002/anac.200310025
49.
M. A. Tunga, M. Demiralp, "A factorized high dimensional model
representation on the nodes of a finite hyperprismatic regular grid",
Appl. Math. and Comput., 164(3), pp. 865883, May 2005,
DOI: http://dx.doi.org/10.1016/j.amc.2004.06.056
50.
N. A. Baykara, İ. Yaman, M. Demiralp, "An Exponential Matrix Product
Based Representation for Generalized Hypergeometric Functions of Type
_{p}F_{p}", ANACM, Appl. Numer. Anal. and Comput.
Math., 2(1), pp. 1933, May 2005, DOI: 10.1002/anac.200410020
51.
M. Demiralp, B. Tunga, "Instantaneous Stability and Robustness Investigations
in Quantum Optimal Control: Harmonic Oscillator Under Linear Dipole and
Quadratic Control Agents", ANACM, Appl. Numer. Anal. and Comput. Math.
, 2(1), pp. 6069, May 2005, DOI: 10.1002/anac.200410023
52.
M. Demiralp, S. Üsküplü, "Matrix Algebraic Infinite Product Representation
for Generalized Hypergeometric Functions of Type _{p+1}F_{p
}", ANACM, Appl. Numer. Anal. and Comput. Math., 2(2),
pp. 212226, May 2005, DOI: 10.1002/anac.200410036
53.
M. Demiralp, G. Taşkın, "Relations Between the Matrix Algebraic Factorized
Type Solutions at Different Singular Points for Generalized Hypergeometric
Functions of Type _{p+1}F_{p}", ANACM, Appl. Numer.
Anal. and Comput. Math. 2(2), pp. 227237, Aug. 2005, DOI:
10.1002/anac.200410037
54.
M. Demiralp, "Critical value calculations for the screening parameter of
Hulthen potential", Appl. Math. and Comput. 168(2), pp.
13801399, Sep. 2005, DOI: 10.1016/j.bbr.2011.03.031
55.
M. Demiralp, "Convergence issues in the Gaussian weighted multidimensional
fluctuation expansion for the univariate numerical integration", WSEAS
Trans. Math. 4(4), pp. 486492, 2005, ISSN: 11092769
56.
M. Alper Tunga, Metin Demiralp, "Hybrid High Dimensional Model
Representation (HHDMR) on the Partitioned Data", J. Comput. and
Appl. Math. 185(1), pp. 107132, Jan. 2006, DOI: 10.1016/
j.cam.2005.01.030
57.
H. Rabitz, T. S. Ho, M. Hsieh, R. Kosut, M. Demiralp, "Topology of
optimally controlled quantum mechanical transition probability
landscapes", Phy. Rev. A, 74(1), pp. 012721[9 pages],
2006, DOI: 10.1103/PhysRevA.74.012721
58.
M. Demiralp, "Plain and Logarithmic High Dimensional Model Representation
and the Effect of Their Types on Univariance Level", WSEAS Trans.
Math., 5(5), pp. 582588, 2006, ISSN: 11092769
59.
M. Demiralp, "Weight Parameters Optimization to Get Maximum Constancy in
High Dimensional Model Representation", WSEAS Trans. Math.,
5(11), pp. 11771181, 2006, ISSN: 11092769
60.
M. Demiralp, "Illustrative Implementations to Show How Logarithm Based
High Dimensional Model Representation Works for Various Function
Structures", WSEAS Trans. Computers 5(6), pp. 13391344,
Jun. 2006
61.
M. Demiralp, "Importance and Measurement of Univariance in High Dimensional
Model Representation for Multivariate Analysis", WSEAS Trans. Comp.,
5, pp. 17381744, Sep. 2006, ISSN: 11092750
62.
M. A. Tunga, M. Demiralp, "A New Approach for Data Partitioning Through
High Dimensional Model Representation", Int. J. Computer Math.
85(12), pp. 17791792, Dec. 2008, DOI: 10.1080/00207160701576095
63.
M. A. Tunga, M. Demiralp, "Bound analysis in univariately truncated
Generalized High Dimensional Model Representation for randomdata
partitioning: Interval GHDMR", Appl. Numer. Math. 59(6),
pp. 14311448, 2009, DOI:10.1016/j.apnum.2008.06.006
64.
E. Gürvit, N.A. Baykara and M. Demiralp, "Numerical Integration
of Bivariate Functions over a Non Rectangular area by Using
Fluctuationlessness Theorem", WSEAS Trans. on Math. 8(5),
pp. 193198, Jun. 2009
65
N. Altay and M. Demiralp, "Fluctuationlessness Theorem and its Application
to Boundary Value Problems of ODEs", WSEAS Trans. on Math. 8
(5), pp. 199204, Jun. 2009
66.
C. Gözükırmızı and M. Demiralp, "The Application of the Fluctuation
Expansion with Extended Basis Set to Numerical Integration", WSEAS
Trans. on Math. 8(5), pp. 205212, Jun. 2009
67.
M.A. Tunga and M. Demiralp, "A Reverse Technique for Lumping High
Dimensional Model Representation", WSEAS Trans. on Math.
8(5), pp. 213218, Jun. 2009
68.
S. Üsküplü and M. Demiralp, "Truncation Approximations for Two Term
Recursive Universal Form of Matrix Ordinary Differential Equations",
WSEAS Trans. on Math. 8(5), pp. 219223, Jun. 2009
69.
S. Tuna, B. Tunga, N.A. Baykara and M. Demiralp, "Fluctuation free
matrix representation based univariate integration in hybrid high
dimensional model representation (HHDMR) over plain and factorized
HDMR", WSEAS Trans. on Math. 8(6), pp. 225230, Jun.
2009
70.
B. Tunga and M. Demiralp, "A nonlinear perturbative scheme to solve
weight optimization problem of high dimensional model representation
(HDMR)", WSEAS Trans. on Math. 8(6), pp. 231237, Jun.
2009
71.
M. Demiralp, "Fluctuationlessness theorem to approximate univariate
functions' matrix representations", WSEAS Trans. on Math. 8
(6), pp. 258267, Jun. 2009
72.
E. Meral and M. Demiralp, "Determination of the external field amplitude
and deviation parameter through expectation value based quantum optimal
control of multiharmonic oscillators under linear control agents", J.
Math. Chem. 46(3), pp. 834852, Oct. 2009, DOI: 10.1007/
s1091000995504
73.
İ. Yaman and M. Demiralp, "A new rational approximation technique based
on transformational high dimensional model representation", Numer.
Algor. 52(3), pp. 385407, Nov. 2009, DOI: 10.1007/
s110750099279y
74.
B. Tunga and M. Demiralp, "Constancy maximization based weight optimization
in high dimensional model representation", Numer. Algor. 52
(3), pp. 435459, Nov. 2009, DOI: 10.1007/s1107500992912
75.
M. Demiralp, "No fluctuation approximation in any desired precision for
univariate matrix representations", J. Math. Chem. 47(1),
pp. 99110, Jan. 2010, DOI: 10.1007/s1091000995335
76.
N. Altay and M. Demiralp, "Numerical solution of ordinary differential
equations by fluctuationlessness theorem", J. Math. Chem. 47
(4), pp. 13231343, May 2010, DOI: 10.1007/s1091000996577
77.
S.Ü. Altınbaşak and M. Demiralp, "Solutions to linear matrix ordinary
differential equations via minimal, regular and excessive space extension
based universalization: Perturbative matrix splines, convergence and error
estimate issues for polynomial coefficients in the homogeneous case",
J. Math. Chem. 48(2), pp. 253265, Aug. 2010, DOI:
10.1007/s1091001096657
78.
S.Ü. Altınbaşak and M. Demiralp, "Solutions to linear matrix ordinary
differential equations via minimal, regular and excessive space extension
based universalization: Convergence and error estimates for truncation
approximants in the homogeneous case with premultiplying polynomial
coefﬁcient matrix", J. Math. Chem. 48(2), pp. 266286,
Aug. 2010, DOI: 10.1007/s1091001096675
79.
B. Tunga and M. Demiralp, "The influence of the support functions on the
quality of enhanced multivariate product representation", J. Math.
Chem., 48(3), pp. 827840, Oct. 2010, DOI: 10.1007/
s1091001097142
80.
E. Meral and M. Demiralp, "A perturbative approach to the solution for
expectation value based quantum optimal control of multiharmonic
oscillators under linear control agents", TWMS J. Pure Appl. Math.
1(1), pp. 5367, 2010
81.
M. Demiralp, "Data Production For a Multivariate Function On an Orthogonal
Hyperprismatic Grid Via Fluctuation Free Matrix Representation: Completely
Filled Grid Case", Int. J. Elect. Eng. Comm. Eng., 1(1),
pp. 6176, 2010
82.
N.A. Baykara, E. Gürvit and M. Demiralp, "The fluctuationlessness approach
to the numerical integration of functions with a single variable by
integrating Taylor expansion with explicit remainder term", J. Math.
Chem. 49(2), pp. 393406, Feb. 2011, DOI: 10.1007/s10910010
97485
83.
A. Kurşunlu and M. Demiralp, "A fluctuation removal based univariate
integration over prescribed nodes: Certain important aspects of one
node fluctuation free integration", J. Math. Chem. 49(2),
pp. 407427, Feb. 2011, DOI: 10.1007/s1091001097494
84.
A. Kurşunlu and M. Demiralp, "A fluctuation removal based univariate
integration over prescribed nodes: One node fluctuation free integration
under higher order set of conditions with an extension to multinode
case", J. Math. Chem. 49(2), pp. 428443, Feb. 2011, DOI:
10.1007/s109100109750y
85.
N. Altay and M. Demiralp, A high dimensional model representation based
numerical method for solving ordinary differential equations, J. Math.
Chem. 49(3), pp. 687710, Mar. 2011, DOI: 10.1007/s10910010
97681
86.
B. Tunga and M. Demiralp, "Fluctuation free multivariate integration based
logarithmic HDMR in multivariate function representation", J. Math.
Chem. 49(4), pp. 894909, Apr. 2011, DOI: 10.1007/s10910010
9786z
87.
B. Tunga and M. Demiralp, "Constancy maximization based weight optimization
in high dimensional model representation for multivariate functions", J.
Math. Chem 49(9), pp. 19962012, Oct. 2011, DOI: 10.1007/s10910
0109786z
88.
M. Demiralp, "Fluctuation expansion for a univariate function's matrix
representation", TWMS Journal of Pure and Applied Mathematics.,
2(2), pp. 176193, Oct. 2011
89.
E. Kanal, N.A. Baykara and M. Demiralp, "Theory and algorithm of the
inversion method for pentadiagonal matrices", J. Math. Chem.
50(1), pp. 289299, Jan. 2012, DOI: 10.1007/s1091001199153
90.
M. Demiralp, E. Demiralp and L. HernandezGarcia, "A probabilistic
foundation for dynamical systems: Theoretical background and mathematical
formulation", J. Math. Chem., 50(4), pp. 850869, Apr.
2012, DOI: 10.1007/s109100119929x
91.
E. Demiralp, M. Demiralp and L. HernandezGarcia, "A probabilistic
foundation for dynamical systems: Phenomenological reasoning and
principal characteristics of probabilistic evolution", J. Math.
Chem., 50(4), pp. 870880, Apr. 2012, DOI: 10.1007/s10910
01199304
92.
E. Kanal and M. Demiralp, "A modified method of calculating high
dimensional model representation (HDMR) terms for parallelization with
MPI and CUDA", J. Supercomput., 62(1), pp. 199213, Oct.
2012, DOI: 10.1007/s1122701106950
93.
B. Tunga and M. Demiralp, "A novel approximation method for multivariate
data partitioning: Fluctuation free integration based HDMR", Eng.
Comput., 29(7), pp. 743765, 2012, DOI: 10.1108/02644401211257245
94.
M. Alper Tunga and Metin Demiralp, "Multivariate data modelling through
Piecewise generalized HDMR method", J. Math. Chem., 51(7),
pp. 17111726, 2012, DOI: 10.1007/s1091001200012
95.
Evrim Korkmaz Özay and Metin Demiralp, "Combined small scale high
dimensional model representation", J. Math. Chem., 50(7),
pp. 20232042, 2012, DOI: 10.1007/s1091001200186
96.
Burcu Tunga and Metin Demiralp, "Hybrid HDMR method with an optimized
hybridity parameter in multivariate function representation", J. Math.
Chem., 50(8), pp. 22232232, Sep. 2012, DOI: 10.1007/s10910
01200266
97.
Emre Demiralp, Renee J. Thompson, Jutta Mata, Susanne M. Jaeggi, Martin
Buschkuel, Lisa Feldman Barret, Phoebe C. Elsworth, Metin Demiralp, Luis
HernandezGarcia, Patricia J. Deldin, Ian H. Gotlib and John Jonides,
"Feeling Blue or Turquoise? Emotional Differentiation in Major Depressive
Disorder", Psychological Science, 23(11), pp. 14101416,
Nov. 2012, DOI:10.1177/0956797612444903
98.
Metin Demiralp and Emre Demiralp, "A contemporary linear representation
theory for ordinary differential equations: probabilistic evolutions and
related approximants for unidimensional autonomous systems", J. Math.
Chem., 51(1), pp. 5872, Jan. 2013, DOI: 10.1007/s10910012
00702
99.
Metin Demiralp and Emre Demiralp, "A contemporary linear representation
theory for ordinary differential equations: multilinear algebra in
folded arrays (folarrs) perspective and its use in multidimensional
case", J. Math. Chem., 51(1), pp. 3857, Jan. 2013, DOI:
10.1007/s1091001200640
100.
M. Demiralp, "A probabilistic evolution approach trilogy, part 1: quantum
expectation value evolutions, block triangularity and conicality, truncation
approximants and their convergence", J. Math. Chem., 51(4),
pp. 11701186, Apr. 2013, DOI: 10.1007/s1091001200796
101.
M. Demiralp and N. A. Baykara, "A probabilistic evolution approach trilogy,
part 2: spectral issues for block triangular evolution matrix, singularities,
space extension", J. Math. Chem., 51(4), pp. 11871197, Apr.
2013, DOI: 10.1007/s1091001200800
102
M. Demiralp and B. Tunga, "A probabilistic evolution approach trilogy,
part 3: Temporal variation of state variable expectation values from
Liouville equation perspective", J. Math. Chem., 51(4),
pp. 11981210, Apr. 2013, DOI:10.1007/s109100120081z
103
M. A. Tunga and M. Demiralp, "Bound Analysis Through HDMR for Multivariate
Data Modelling", J. Math. Model. Algor., 12(3), pp. 265276,
Sep. 2013, DOI: 10.1007/s1085201292117
104.
M. A. Tunga and M. Demiralp, "A novel method for multivariate data
modelling: Piecewise generalized EMPR", J. Math. Chem.,
51(10), pp. 26542667, Nov. 2013, DOI:10.1007/s1091001302286
105.
F. Hunutlu, N. A. Baykara and M. Demiralp, "Truncation approximants to
probabilistic evolution of ordinary differential equations under initial
conditions via bidiagonal evolution matrices: simple case", I. J. Comput.
Math., 90(11), pp. 23262337, Apr. 2013, DOI:10.1080/00207160.
2013.774385
106.
Coşar Gözükırmızı, M. Demiralp, "Probabilistic evolution approach for the
solution of explicit autonomous ordinary differential equations. Part 1:
Arbitrariness and equipartition theorem in Kronecker power series",
J. Math. Chem., 52(3), pp. 866880, Mar. 2014,DOI:10.1007/
s1091001302985
107.
Coşar Gözükırmızı, M. Demiralp, "Probabilistic evolution approach for the
solution of explicit autonomous ordinary differential equations. Part 2:
Kernel separability, space extension, and, series solution via telescopic
matrices", J. Math. Chem., 52(3), pp. 881898, Mar. 2014,
DOI:10.1007/s1091001302994
108.
Muzaffer Ayvaz, M. Demiralp, "Probabilistic evolution approach to the
expectation value dynamics of quantum mechanical operators, part I:
integral representation of Kronecker power series and multivariate
Hausdorff moment problems", J. Math. Chem., 52(8),
pp. 21612182, Sep. 2014, DOI:10.1007/s1091001403718
109.
Muzaffer Ayvaz, M. Demiralp, "Probabilistic evolution approach to the
expectation value dynamics of quantum mechanical operators, part II:
the use of mathematical fluctuation theory", J. Math. Chem.,
52(8), pp. 22942315, Sep. 2014, DOI:10.1007/s1091001403816
110.
Evrim Korkmaz Özay, M. Demiralp, "Reductive enhanced multivariance
product representation for multiway arrays", J. Math. Chem.,
??(?), pp. ??????, ?. 2014(?), DOI:10.1007/s109100140396z
(in print)


[
Go back to Top
]

Articles
published in national (Turkish) refereed journals

The only turkish articles published in refereed national journals are extracted
from the PhD studies Metin Demiralp supervised, as
portions not published anywhere else, by following the
rules of the university for PhD studies. At this update
the only published ones are the first three PhD studies.
The remaining five papers are accepted but not published
yet.

1.
Mehmet Alper Tunga, Metin Demiralp, "Farklı yüksek boyutlu model gösterilim
algoritmalarının çok değişkenli interpolasyon uygulamaları", İTÜ Dergisi/d
Mühendislik, 5(5), pp. 4555, October 2006
2.
Esma Meral, Metin Demiralp, "Doğrusal kuvantum sistemlerin eniyilemeli
denetiminde kritik süreler", İTÜ Dergisi/d Mühendislik, 9(5),
pp. 3946, October 2010
3.
İrem Yaman, Metin Demiralp, "Dönüşümsel yüksek boyutlu model gösterilimi
tabanlı yeni oransal yaklaştıranlar oluşturumu ve LSI sistemlerdeki
uygulamaları", İTÜ Dergisi/d Mühendislik, 9(5), pp. 4756,
October 2010

Keynote Speeches

Keynote speeches are considered having higher importance
amongst the invited lectures. They need not be original
as well known even though they contain the genuine
material produced by the speaker. Same thing is true for
the following speeches. However, their contents are
composed of the materials of published works of Metin
Demiralp and his scientific research group. Their one or
two page abstracts can be found in the relevant
proceedings book. They are listed in chronological order.

1.
Metin Demiralp, "A One Node Fluctuation Suppressing Power Means and Mean
Powers", 10th World Scientific and Engineering Academy and Society (WSEAS)
International Conference on Mathematical and Computational Methods in Science
and Engineering (MACMESE'08), Bucharest, Romania, 79 November, Keynote
Speech, 2008
2.
Metin Demiralp, "Multivariate Data Completion or Addition on a Single Curve
Representation of a Hyperrectangular Grid Fluctuation Suppression", 8th
World Scientific and Engineering Academy and Society (WSEAS) International
Conference on Applied Computer Science (ACOS'08), Venice, Italy, 2123
November, Keynote Speech, 2008
3.
M. Demiralp, "Eigenspace Relations Amongst the Universal Matrices in
Fluctuation Free Approximation Theory", Proceedings for the WSEAS
Conference on the 2nd Multivariate Analysis and its Application in Science
and Engineering (MAASE'09), İstanbul, Türkiye(Turkey), 30 May  1 June
2009., pp. 1112, Keynote Speech, 2009
4.
M. Demiralp, "Optimization Based Matrix Decomposition Methods and Their
Utilization in Applications", Proceedings for the WSEAS International
Conference on Simulation, Modelling and Optimization (SMO'09), 35
September 2009, Budapest, Hungary, Keynote Speech, Abstract, pp. 1516,
2009
5.
M. Demiralp, "High Dimensional Model Representation(s) as Multilinear Array
Decomposition Method(s)", Proceedings for the Applied Computing Conference
(ACC'09, WSEAS International Conference), 2830 September 2009, Vouliagmeni,
Greece, Keynote Speech, Abstract, pp. 1920, 2009
6.
M. Demiralp, "New Generation HDMR Based Multiway Array Decomposers: Enhanced
Multivariance Products Representation (EMPR)", Proceedings for the 1st
IEEEAM Conference on Applied Computer Science (ACS), Malta, 1517 September
, Keynote Speech, pp. 1617, 2010
7.
M. Demiralp, "Fluctuation Free Matrix Representation in Expectation Value
Dynamical Issues and Their Applications", WSEAS MCBC'11, Braşov, Romania,
1113 April, Keynote Speech, pp. 1314, 2011
8.
M. Demiralp, "High Dimensional Model Representation (HDMR) and Enhanced
Multivariate Product Representation (EMPR) as Small Scale Multivariate
Decomposition Methods", WSEAS ECC'11 and FandB'11, Paris, France,
2830 April, Keynote Speech, pp. 1516, 2011
9.
M. Demiralp, "Dominating the Constancy in Enhanced Multivariate Product
Representation (EMPR) Via Support Function Selection", Proceedings of
the 2nd International Conference on Applied Informatics and Computing
Theory (AICT'11), IEEEAM, Prague, Czech Republic, 2628 September,
Keynote Speech, pp. 1112, 2011
10.
M. Demiralp, "Tensors or Folvecs, Folmats and Folarrs: Welcome to the
Enchanted Realm of Linearity", WSEAS supported IAASAT Conference,
University of Craiova, Drobeta Turnu Severin, Romania, 2729 October
2011, Keynote Speech, pp. 1010, 2011
11.
M. Demiralp, "Nonlinear Explicit Ordinary Differential Equations: Are They
Really Nonlinear?", WSEAS MACMESE'11, Catania, Sicily, Italy, 35 November
2011, Keynote Speech, pp. 1516, 2011
12.
M. Demiralp, "Solving Initial Value Problems of Multivariable Parabolic Systems
via Expectation Values: Probabilistic Evolution, Exactness and Approximants"
WSEAS MCBC'12, "G. Enescu" University, Iasi, Romania, 1315 June 2012,
Keynote Speech, pp. 1415, 2012
13.
M. Demiralp, "Quantum Expected Value Dynamics in Probabilistic Evolution
Perspective", CMMSE 2012, Murcia, Spain, 25 July 2012, Keynote Speech
(keynote speech in website, plenary speech in proceedings), pp. 449459, 2012
14.
M. Demiralp, "Boundary Value Problems of Explicit ODEs in Probabilistic
Evolution Perspective", ICNPAA 2012, World Congress: 9th International
Conference on "Mathematical Problems in Engineering, Aerospace and Sciences",
Vienna, Austria, 1014 July 2012, , Keynote Talk, (to be published in the
relevant AIP Proceedings, 2012)
15.
M. Demiralp, "Folding and Unfolding Related Issues, Especially Decompositions,
in Data Processing", WSEAS CSCC'12, WSEAS International Conference on
Computers, Kos Island, Greece, 1417 July 2012, Keynote Talk, pp. 1919
16.
M. Demiralp, "Singing in the Magic Empire of Stars: Probabilistic Evolution
Approach to Celestial Mechanical Problems", WSEAS ISTASC'12, WSEAS
International Conference on Systems Theory and Scientific Computation,
İstanbul, Türkiye, 2123 August 2012, Keynote Talk, pp. 1414
17.
M. Demiralp, "Kronecker Power Series in Quantum Mechanical Probabilistic
Evolution Approach: Managing Arbitrariness in Spectral Issues of the
Propagation Superoperator", Mathematical Methods for Information Science
and Economics, Proceedings of the 17th WSEAS International Conference on
Applied Mathematics (AMATH'12), Montreux, Switzerland, 2931 December 2012
, Keynote Talk, pp. 1213
18.
M. Demiralp, "Fluctuation Expansion in the Expected Value Evolution for
Quantum Dynamics: Basic Issues and the Fluctuation Free Equations", Latest
Trends in Applied Computational Science, Proceedings of the 12th WSEAS
International Conference on Applied Computer and Applied Computational
Science (ACACOS'13), Kuala Lumpur, Malaysia, 24 April 2013, Keynote Talk,
pp. 1213
19.
M. Demiralp, "Direct Power Series for Multivaried Functions: Welcome to the
Charming World of Kronecker Product", Recent Advances in Finite Differences
and Applied and Computational Mathematics, Proceedings of the second WSEAS
International Conference on Applied and Computational Mathematics (ICACM'13),
Vouliagmeni, Athens, Greece, 1416 May 2013, Keynote Talk, pp. 1213
20.
M. Demiralp, "Kronecker power series and probabilistic evolution approach for
the solution of explicit ODEs: Applications in dynamical and quantum dynamical
systems", The proceedings of the 13th international conference on
Computational and Mathematical Methods in Science and Engineering (CMMSE 13),
2427 June 2103, Almeria, Spain,, Keynote talk.
21.
M. Demiralp, "Shifting the Expansion Point in Direct Power Series of
Multivaried Functions", Recent Advances in Applied Mathematics and
Computational Methods in Engineering, Proceedings of the 2013 WSEAS
International Conference on Applied Mathematics and Computational Methods in
Engineering (AMCME'13), Rhodes Island, Greece, 1619 July 2013, Keynote
Talk, pp. 1718
22.
M. Demiralp, "No Need to be Afraid of Multivariance in Multiway Arrays:
Eigenvalue and Singular Value Related Issues", Recent Advances in System
Theory, Signal Processing and Computation, Proceedings of the 13th WSEAS
International Conference on System Theory and Scientific Computation
(ISTASC'13), Valencia, Spain, 68 August 2013, Keynote Talk, pp.
1213
23.
M. Demiralp, "Confirming the Power of Probabilistic Evolution Approach:
A Concrete Application to Get the Analytical Solution, Mathematical
Methods and Optimization Techniques in Engineering, Proceedings of the
1st International Conference on Optimization Techniques in Engineering
(OTENG'13), Antalya, Türkiye (Turkey), 810 October 2013, Keynote
Talk, pp. 1415
24.
M. Demiralp, "Solving Initial Value Problems of Explicit ODEs via
Kronecker Power Series: Disintegration of the Monocular and Telescope
Matrices over Similarity Image Basis Sets", International Conference
on Nonlinear Problems in Aviation and Aerospace 2014 (ICNPAA 2014)
World Congress: 10th International Conference on "Mathematical Problems
in Engineering, Aerospace and Sciences, 1518 July 2014, Narvik, Norway,
Keynote Speech
25.
Metin Demiralp, "Decomposing the Arrays: Most Recent Developments",
Europment Conferences: The 2014 International Conference on Applied
Mathematics, Computational Science & Engineering (AMCSE 2014), Varna,
Bulgaria, 1315 September 2014,, Keynote Talk, pp. 1517 (in
proceedings book)

Plenary Lectures

The plenary lectures given by Metin Demiralp are all
composed of materials related to his or his group's
original findings. Their one or two page abstracts can
be found in the relevant proceedings book. They are
listed below in chronological order.

1.
Metin Demiralp, "Expectation Value Based Mathematical Methodology in Quantum
Optimal Control Problems", World Scientific and Engineering Academy and
Society (WSEAS) Conference on Mathematics (MATH'06), 2729 May 2006,
İstanbul, Türkiye (Turkey, (Plenary Lecture), 2006
2.
Metin Demiralp, "New Horizons in Data Partitioning Via High Dimensional Model
Representation", World Scientific and Engineering Academy and Society
(WSEAS) Conference on Mathematics, 1016 July 2006, Vouliagmeni Beach,
Greece, (Plenary Lecture), 2006
3.
Metin Demiralp, "Univariance Optimization in High Dimensional Model
Representation Over Uniformly Data Filled Hypergrid", World Scientific and
Engineering Academy and Society (WSEAS) Conference on Mathematics (MATH'06)
, 2224 September 2006, Lisbon, Portugal, (Plenary Lecture), 2006
4.
Metin Demiralp, "Fluctuation Expansion at the Horizon as a New and Efficient
Tool for Integration ODE and PDE Solving", 11th World Scientific and
Engineering Academy and Society (WSEAS) Conference on Applied Mathematics
(MATH'07), 2224 March 2007, Dallas, USA, (Plenary Lecture), 2007
5.
Metin Demiralp, "Multivariate Interpolation Via Spline Basis Set and High
Dimensional Model Representation", World Scientific and Engineering
Academy and Society (WSEAS) Conference on Systems Theory and Scientific
Computation (ISTACS'07), 2426 August 2007, Vouliagmeni Beach, Greece,
(Plenary Lecture), 2007
6.
Metin Demiralp, "Recent Developments in the Fluctuation Expansion of
Univariate Functions' Matrix Representations", Applied Mathematics
for Science and Engineering, World Scientific and Engineering Academy
and Society (WSEAS) Conference on Applied Mathematics (MATH'07),
2931 December 2007, Cairo, Egypt, (Plenary Lecture), 2007
7.
Metin Demiralp, "A Brief Recall of Mathematical Fluctuation Theory
and Kronecker Power Series (Introductory lecture talk in The First
ICCMSE Symposium on Mathematical Fluctuation Theoretical Issues and
Kronecker Power Series in Quantum Dynamical Problems; corresponds to
the preface of the symposium part in relevant AIP proceedings)",
10th International Conference of Computational Methods in Science
and Engineering (ICCMSE), The First ICCMSE Symposium on Mathematical
Fluctuation Theoretical Issues and Kronecker Power Series in Quantum
Dynamical Problems, 47 April 2014, Athens, Greece, AIP Proceedings,
????, pp. ????????, 201? (to be published)
8.
Metin Demiralp, "Recent Developments in the Fluctuation Expansion of
Univariate Functions' Matrix Representations", The 2014
International Conference on Computational and Mathematical Methods in
Science and Engineering, , 37 July, 2014, Costa Ballena (Rota),
Cádiz, Spain, (Plenary Lecture in the special session, "Recent
Methodological Developments in Function Approximation, Multiway Array
Decompositions, ODE and PDE Solutions: Applications From Dynamical
Systems to Quantum and Statistical Dynamics"), 2014
9.
Metin Demiralp, "Infinite Node Interpolation, Space Extension, EMPR
Tridiagonalization" (Opening lecture talk relevant to "Preface of
the Fourth ICNAAM Symposium on Recent Developments in Hilbert Space
Tools and Methodology for Scientific Computing"), International
Conference of Numerical Analysis and Applied Mathematics (ICNAAM),
The Fourth ICNAAM Symposium on Recent Developments in Hilbert Space
Tools and Methodology for Scientific Computing, 2228 September 2014,
Rhodes Island, Greece, AIP Proceedings, ????, pp. ????????,
201? (to be published)

Tutorials

There is only one tutorial speech of Metin Demiralp at
this update. It is about a topics on which he is an
expert contributing original ideas to the issue.

1.
Metin Demiralp, "High Dimensional Model Representation From Beginning to
Present Status", World Scientific and Engineering Academy and Society
(WSEAS) Conference on Mathematics (MATH'06), 2729 May 2006, İstanbul,
Turkey, Tutorial, 2006

Contributed speeches with one page abstracts

Some of the conferences do not publish the presentations
as short papers or extended abstracts in their
proceedings book. They publish abstract books (in hard
copy or even in their web sites) composed of one page
(or less, like at most 100 word long ones) abstracts.
They are listed below in chronological order.

1.
M. Demiralp, "Random Sampling Fluctuation Free Multivariate Integration",
Conference on Scientific Computing, Conference in honour of Professor
Ernst Hairer's 60th birthday, 1720 June 2009, Geneve, Switzerland,
Abstract, pp. 2020, 2009
2.
M. Demiralp, "Random Sampling High Dimensional Model Representation Via
Fluctuation Free Integration", SIAM Annual Meeting (AN09), 610 July
2009, Denver, Colorado, ABD, Abstract, pp. 2828, 2009
3.
M. Demiralp, "Quantum Optimal Control Via Fluctuation Free Integration",
SIAM Conference on Control and Its Application (CT09), 68 July 2009,
Denver, Colorado, USA, Abstract, pp. 109109, 2009
4.
Evrim Korkmaz Özay, M. Demiralp, "Moebius Transformational Discrete High
Dimensional Model Representation: Truncated Approximants", International
Conference on Nonlinear Problems in Aviation and Aerospace 2012 (ICNPAA
2012) World Congress: 9th International Conference on "Mathematical Problems
in Engineering, Aerospace and Sciences, 1014 July 2012, Vienna, Austria
5.
M. Demiralp, "Fine Tuning Points in Reduced Array Decomposition at
Constancy Limit", International Conference on Nonlinear Problems in
Aviation and Aerospace 2014 (ICNPAA 2014) World Congress: 10th
International Conference on "Mathematical Problems in Engineering,
Aerospace and Sciences, 1518 July 2014, Narvik, Norway
6.
Süha Tuna and M. Demiralp, "Finding Support Function Class Flattening
the Constancy at Zero Volume Limit for Enhanced Multivariance Products
Representation (EMPR)", International Conference on Nonlinear
Problems in Aviation and Aerospace 2014 (ICNPAA 2014) World Congress:
10th International Conference on "Mathematical Problems in Engineering,
Aerospace and Sciences, 1518 July 2014, Narvik, Norway

Posters

As well known, posters are presentations where the
information is given in written form and oral
interaction happens upon request. They are listed
below.

1.
Metin Demiralp, "The Role of the Dipole Function in Quantum Optimal Control
Theory", 12th International Congress of Quantum Congress, (ICQC12),
2126 May 2006, Kyoto, Japan, pp. B187B187, Poster, 2006
2.
Metin Demiralp, "Fluctuation Expansions in Quantum Chemistry", 12th
International Congress of Quantum Congress, (ICQC12), 2126 May 2006,
Kyoto, Japan, pp. C165C165, Poster, 2006
3.
E. Demiralp, L. HernandezGarcia, R. Gonzalez, M. Demiralp, J. Jonides,
"Nonlinear Space Extension and PCA Based Multivariate Connectivity Analysis
of fMRI Data", Annual Meeting of the Organization for Human Brain Mapping.
Barcelona, Spain, 811 June, Poster, 2010
4.
E. Demiralp, K. Flegal, L. HernandezGarcia, R. Gonzalez, M. Demiralp, P.
ReuterLorenz, J. Jonides, "TestRetest Analysis of fMRI Reliability Using
Permutation Testing in a Verb Generation Task", Annual Meeting of the
Organization for Human Brain Mapping. Barcelona, Spain, 811 June,
Poster, 2010

International Seminars

Even though Metin Demiralp gave many official seminars
in the institutions of Türkiye and inofficial seminars
in front of foreign countries' small groups, the
following official ones were given upon invitation and
were widely announced.

1.
Metin Demiralp, "Recent Developments on High Dimensional Model Representation
in İstanbul Technical University", Princeton University, Chemistry
Department, Prof. Herschel Rabitz Group, Seminar, 17 March 2007,
Princeton, NJ. USA, 2007
2.
Metin Demiralp, "Certain Milestones in the Development of Quantum Optimal
Control Theory and Its Applications"; Decision, Control, and Optimisation
Series; University of Illinois at UrbanaChampaign, Decision and Control
Laboratory, Coordinated Science Laboratory, 28 March 2007, Urbana, IL, USA,
2007

Contributions presented in international scientific
meetings and published in proceedings

In some part of the scientific meetings Prof. Dr. Metin
Demiralp participated in, either proceedings is not
published or his contribution is published by him as a
matured article in a refereed journal. Hence, the
contributions whose proceedings was published are given
here only.

1.
M. Demiralp, "Characteristic Function Approach to Density Matrix Calculations",
Local Density Approximations in Quantum Chemistry and Solid State Physics
, Ed. by J. P. Dahi and J. Avery, pp. 323332, 1984
2.
M. Alper Tunga and M. Demiralp, "High Dimensional Model Representation of
Multivariate Interpolation via Hypergrids", 16. International Symposium on
Computer and Information Sciences (ISCIS XVI), pp. 416423, Antalya, 57
November, 2001
3.
Gülşen Taşkın, Hasan Saygın and Metin Demiralp, "Approximation Scheme for
Multivariate Hypersurface Fitting Problems",Proceedings GIS 2002,
International Symposium on Geographic Information Systems, İstanbul, Turkey,
September 2326, pp. 617623, 2002
4.
Gülşen Taşkın, Hasan Saygın and Metin Demiralp, "Least Squares Curve Fitting
via High Dimensional Model Representation for Digital Elevation Model",
Proceedings GIS 2002, International Symposium on Geographic Information
Systems, İstanbul, Turkey, September 2326, pp. 624634, 2002
5.
M. Alper Tunga, Metin Demiralp, "A High Dimensional Model Representation
Based Approximation Scheme for Multivariate Interpolation", Proceedings
GIS 2002, International Symposium on Geographic Information Systems,
İstanbul, Turkey, September 2326, pp. 678686, 2002
6.
M. Alper Tunga, Metin Demiralp, "A High Dimensional Model Representation
Based on Lagrange Interpolation", Proceedings GIS 2002, International
Symposium on Geographic Information Systems, İstanbul, Turkey, September
2326, pp. 687696, 2002
7.
Metin Demiralp, "Weighted Eigenvalue Problem Approach To The Critical Value
Determination Of Screened Coulomb Potential Systems", Proceedings of the
International Conference on Numerical Analysis and Computational Mathematics
(NACoM2003) Anglia Polytechnic University, 2326 May 2003, Cambridge,
UK, pp. 5760, 2003
8.
Tülin Kaman, Metin Demiralp, "A Parametric Sensitivity Analysis for the
Solution of Extrema Evaluation Problems via a Dimensionality Reducing
Approximation Method", Proceedings of the International Conference on
Numerical Analysis and Computational Mathematics (NACoM2003), Anglia
Polytechnic University, 2326 May 2003, Cambridge, UK, pp. 103106, 2003
9.
Ayşegül Kurşunlu, İrem Yaman, Metin Demiralp, "Optimal Control of One
Dimensional Quantum Harmonic Oscillator Under an External Field With
Quadratic Dipole Function and Penalty on Momentum: Construction of the
Linearised Field Amplitude Integral Equation", Proceedings of the
International Conference on Numerical Analysis and Computational Mathematics
(NACoM2003), Anglia Polytechnic University, 2326 May 2003, Cambridge,
UK, pp. 107110, 2003
10.
M. Alper Tunga, Metin Demiralp, "A Factorized High Dimensional Model
Representation on the Partitioned Random Discrete Data", Proceedings of
the International Conference on Numerical Analysis and Computational
Mathematics (NACoM2003), Anglia Polytechnic University, 2326 May 2003,
Cambridge, UK, pp. 162165, 2003
11.
Burcu Tunga, Metin Demiralp, "Optimally Controlled Dynamics of One Dimensional
Harmonic Oscillator: Linear Dipole Function and Quadratic Penalty",
Proceedings of the International Conference on Numerical Analysis and
Computational Mathematics (NACoM 2003) Anglia Polytechnic University,
2326 May 2003, Cambridge, UK, pp. 166168, 2003
12.
İrem Yaman, Metin Demiralp, "High Dimensional Model Representation
Approximation of an Evolution Operator with a First Order Partial
Differential Operator Argument", Proceedings of the International
Conference on Numerical Analysis and Computational Mathematics (NACoM2003)
, Anglia Polytechnic University, 2326 May 2003, Cambridge, UK, pp.
177180, 2003
13.
E. Akkemik and M. Demiralp, "Algebraic Eigenvalue Problem Modelling via High
Dimensional Model Representation", The Fourth International Conference on
Tools For Mathematical Modelling, St. Petersburg, Russia, June 2328,
pp. 518, 2003
14.
N. A. Baykara and M. Demiralp, "Hyperspherical or Hyperellipsoidal
Coordinates in the Evaluation of High Dimensional Model Representation
Approximants", The Fourth International Conference on Tools For
Mathematical Modelling, St. Petersburg, Russia, June 23  28, pp. 4862,
2003
15.
T. Civlekoğlu and M. Demiralp, "An HDMR Application to Schrödinger's Equation
For Free Particles Under An External Field With Dipole Polarization and With
Vanishing Flux Boundary Conditions", The Fourth International Conference
on Tools For Mathematical Modelling, St. Petersburg, Russia, June 2328,
pp. 110121, 2003
16.
M. Demiralp, "High Dimensional Model Representation And Its Application
Varieties", The Fourth International Conference on Tools For Mathematical
Modelling, St. Petersburg, Russia, June 23  28, pp. 146159, 2003
17.
B. Fırat, N. Şenol, and M. Demiralp, "Hyperpolyhedral Weight Construction
Through High Dimensional Model Representation: A Hyperrotation Based
Application", The Fourth International Conference on Tools For Mathematical
Modelling, St. Petersburg, Russia, June 23  28, pp. 183192, 2003
18.
T. Kaman and M. Demiralp, "A High Dimensional Model Representation
Application to the Optimal Control of Harmonic Oscillator", The Fourth
International Conference on Tools For Mathematical Modelling, St.
Petersburg, Russia, June 2328, pp. 255269, 2003
19.
M. E. Kanal, N. A. Baykara and M. Demiralp, "A Novel Approach To The Numerical
Inversion Algorithm For Adjacent Pentadiagonal Matrices", The Fourth
International Conference on Tools For Mathematical Modelling, St.
Petersburg, Russia, June 23 28, pp. 270280, 2003
20.
A. A. Kanmaz and M. Demiralp, "Symbolic Computer Programming for Generalized
High Dimensional Model Representation", The Fourth International Conference
on Tools For Mathematical Modelling, St. Petersburg, Russia, June 2328,
pp. 281289, 2003
21.
A. Kurşunlu and M. Demiralp, "Additive and Factorized High Dimensional Model
Representation Applications to the Multivariate Diffusion Equation Under
Vanishing Derivative Boundary Conditions", The Fourth International
Conference on Tools For Mathematical Modelling, St. Petersburg, Russia,
June 23  28, pp. 315327, 2003
22.
N. Şenol, B. Fırat, and M. Demiralp, "Hyperpolyhedral Weight Construction
Through High Dimensional Model Representation (HDMR): A Laplace Transform
Application", The Fourth International Conference on Tools For Mathematical
Modelling, St. Petersburg, Russia, June 2328, pp. 366375, 2003
23.
B. Tunga and M. Demiralp, "Hybrid High Dimensional Model Representation
Approximants And Their Utilization in Applications", The Fourth
International Conference on Tools For Mathematical Modelling, St.
Petersburg, Russia, June 23  28, pp. 438446, 2003
24.
A. Tunga and M. Demiralp, "Data Partitioning via Generalized High Dimensional
Model Representation (GHDMR) And Multivariate Interpolative Applications",
The Fourth International Conference on Tools For Mathematical Modelling
, St. Petersburg, Russia, June 23  28, pp. 447462, 2003
25.
İ. Yaman and M. Demiralp, "High Dimensional Model Representation Applications
to Exponential Matrix Evaluation", The Fourth International Conference on
Tools For Mathematical Modelling, St. Petersburg, Russia, June 2328,
pp. 463474, 2003
26.
Hüseyin Kaya, Metin Demiralp, "Solving 3D Poisson Equation via HDMR",
Proceedings of the International Conference on Numerical Analysis and
Applied Mathematics (ICNAAM 2004), 1015 September 2004, Chalkis, Greece
, Wiley, pp. 1015, 2004
27.
Burcu Tunga, Metin Demiralp, "Instantenous Series in Stability and Robustness
Investigations for Quantum Optimal Control: Harmonic Oscillator",
Proceedings of the International Conference on Numerical Analysis and Applied
Mathematics (ICNAAM 2004), 1015 September 2004, Chalkis, Greece, Wiley,
pp. 6466, 2004
28.
Metin Demiralp, N. Abdülbaki Baykara, "Asymptotic Expansion for the
Generalized Hypergeometric Function of _{p}F_{p} Type at
Large Values of the Argument", Proceedings of the International Conference
on Numerical Analysis and Applied Mathematics (ICNAAM 2004), 1015 September
2004, Chalkis, Greece, Wiley, pp. 122124, 2004
29.
Tülin Kaman, Metin Demiralp, "Perturbation Expansion Around the Nominal Value
of External Field Amplitude in Molecular Optimal Control Theory",
Proceedings of the International Conference on Numerical Analysis and Applied
Mathematics (ICNAAM 2004), 1015 September 2004, Chalkis, Greece, Wiley,
pp. 185188, 2004
30.
Ayşegül Kurşunlu, İrem Yaman, Metin Demiralp, "A Space Extension Reductive
Approach to the Solution of Eigenvalue Problems: Anharmonic Oscillator",
Proceedings of the International Conference on Numerical Analysis and
Applied Mathematics (ICNAAM 2004), 1015 September 2004, Chalkis, Greece
, Wiley, pp. 224227, 2004
31.
Gülşen Taşkın, Metin Demiralp, "A Matrix Algebraic Analytic Continuation
Method for Hypergeometric Functions of _{p+1}F_{p} Type",
Proceedings of the International Conference on Numerical Analysis and
Applied Mathematics (ICNAAM 2004), 1015 September 2004, Chalkis, Greece
, Wiley, pp. 388390, 2004
32.
M. Alper Tunga, Metin Demiralp, "Error Propagation Through Generalized High
Dimensional Model Representation for Data Partitioning", Proceedings of
the International Conference on Numerical Analysis and Applied Mathematics
(ICNAAM 2004), 1015 September 2004, Chalkis, Greece, Wiley, pp.
406409, 2004
33.
Sevda Üsküplü, Metin Demiralp, "A Factorization Method for _{p+1}F
_{p} Type Hypergeometric Function Evaluations", Proceedings of
the International Conference on Numerical Analysis and Applied Mathematics
(ICNAAM 2004), 1015 September 2004, Chalkis, Greece, Wiley, pp.
419422, 2004
34.
İrem Yaman, Metin Demiralp, N. Abdülbaki Baykara, "Factorization of Evolution
Matrix to Approximate the Hypergeometric Functions of Type _{p}F_{
p}", Proceedings of the International Conference on Numerical
Analysis and Applied Mathematics (ICNAAM 2004), 1015 September 2004,
Chalkis, Greece , Wiley, pp. 469472, 2004
35.
N. Abdülbaki Baykara, Metin Demiralp, "Two Matrix Factor Approximant
Optimization via A Flexibility Function to _{p}F_{p} Type
Generalized Hypergeometric Functions", Proceedings of the International
Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2005),
1620 September 2005, Rhodes, Greece, pp. 707710, 2005
36.
Metin Demiralp, "A Fluctuation Expansion Method for the Evaluation of a
Function's Expectation Value", Proceedings of the International Conference
on Numerical Analysis and Applied Mathematics (ICNAAM 2005), 1620
September 2005, Rhodes, Greece, pp. 711714, 2005
37.
Hüseyin Kaya, Metin Demiralp, "A new order reduction method for particle
simulations", Proceedings of the International Conference on Numerical
Analysis and Applied Mathematics (ICNAAM 2005), 1620 September 2005,
Rhodes, Greece, pp. 715718, 2005
38.
Tülin Kaman, Metin Demiralp, "Factorization of Evolution Matrix as an
Approximation Scheme in the Solution of Optimal Control Problem for One
Dimensional Harmonic Oscillator via TimeVariant Weight Functions",
Proceedings of the International Conference on Numerical Analysis and
Applied Mathematics (ICNAAM 2005), 1620 September 2005, Rhodes, Greece,
pp. 719722, 2005
39.
Engin Kanal, Sevda Üsküplü, Metin Demiralp, "Precision Increased Truncated
Derivative Formulae in Terms of Forward and Backward Difference Operators",
Proceedings of the International Conference on Numerical Analysis and
Applied Mathematics (ICNAAM 2005), 1620 September 2005, Rhodes, Greece,
pp. 723726, 2005
40.
Ayşegül Kurşunlu, Metin Demiralp, "Weight Optimization in Segmented High
Dimensional Model Representation For the Partitioning of Uniform Data",
Proceedings of the International Conference on Numerical Analysis and
Applied Mathematics (ICNAAM 2005), 1620 September 2005, Rhodes, Greece,
pp. 727730, 2005
41.
Esma Meral, Metin Demiralp, "An Optimized Two Factor Perturbation Based
Exponential Matrix Factorization Approach to the Control Equations of Quantum
Multiharmonic Oscillator With Linear Dipole Function and Linear Control
Agents", Proceedings of the International Conference on Numerical Analysis
and Applied Mathematics (ICNAAM 2005), 1620 September 2005, Rhodes,
Greece, pp. 731734, 2005
42.
Gülşen Taşkın, Metin Demiralp, "Random Data Partitioning via Generalized High
Dimensional Model Representation for Digital Elevation Models by Using Cubic
Spline Interpolation", Proceedings of the International Conference on
Numerical Analysis and Applied Mathematics (ICNAAM 2005), 1620 September
2005, Rhodes, Greece, pp. 735738, 2005
43.
Sevda Üsküplü, Engin Kanal, Metin Demiralp, "Extension of a Finite Regular
Data Given To Determine A Univariate Function By Using Forward and Backward
Difference Operators", Proceedings of the International Conference on
Numerical Analysis and Applied Mathematics (ICNAAM 2005), 1620 September
2005, Rhodes, Greece, pp. 739742, 2005
44.
İrem Yaman, Metin Demiralp, "Function Value Determination Via Asymmetric
Interpolation From A Finite Regular Data Set", Proceedings of the
International Conference on Numerical Analysis and Applied Mathematics
(ICNAAM 2005), 1620 September 2005, Rhodes, Greece, pp. 743746,
2005
45.
N. Abdülbaki Baykara, Metin Demiralp, "Fluctuation Expansion in the Quantum
Optimal Control of One Dimensional Perturbed Harmonic Oscillator", Lecture
Series on Computer and Computational Sciences, selected papers from
International Conference of Computational Methods in Sciences and Engineering
2005 (ICCMSE 2005), 2126 October 2005, Corinth, Loutraki, Greece
4A, Redderbrick BV, pp. 5659, 2005
46.
Metin Demiralp, "Determination of Quantum Expectation Values via Fluctuation
Expansion", Lecture Series on Computer and Computational Sciences,
selected papers from International Conference of Computational Methods in
Sciences and Engineering 2005 (ICCMSE 2005), 2126 October 2005, Corinth,
Loutraki, Greece 4A, Redderbrick BV, pp. 146149, 2005
47.
Esma Meral, Metin Demiralp, "Phase Space Consideration in Quantum Dynamical
Fluctuation Expansion", Lecture Series on Computer and Computational
Sciences, selected papers from International Conference of Computational
Methods in Sciences and Engineering 2005 (ICCMSE 2005), 2126 October 2005,
Corinth, Loutraki, Greece 4A, Redderbrick BV, pp. 406409, 2005
48.
Metin Demiralp, "A New Fluctuation Expansion Based Method for the Univariate
Numerical Integration Under Gaussian Weights", Proceedings of the 8th
WSEAS International Conference on Applied Mathematics (MATH'08), 1618
December 2005, Tenerife, Canary Islands, Spain, pp. 6873, 2005
49.
Metin Demiralp, "A Univariately Approximate Data Partitioning Algorithm for
a Dominantly Multiplicative Multivariate Function", World Scientific and
Engineering Academy and Society (WSEAS) Conference on Computers(ACOS'06),
1618 April 2006, Hangzhou, China, pp. 556559, 2006
50.
Metin Demiralp, "Logarithmic High Dimensional Model Representation,
Multiplicative Multivariate Function", World Scientific and Engineering
Academy and Society (WSEAS) Conference on Mathematics (MATH'06), 2729
May 2006, İstanbul, Turkey, pp. 418423, 2006
51.
Metin Demiralp, "Additivity and Deviation Multiplicativity Measurers for
Uniform Discrete Multivariate Data Via High Dimensional Model Representation
Varieties", World Scientific and Engininering Academy and Society (WSEAS)
Conference on Mathematics, 1016 July 2006, Vouliagmeni Beach, Greece,
pp. 174178, 2006
52.
Volkan Agun, Derya Arda, Metin Demiralp, "High Dimensional Model
Representation Based Data Partitioning Implementations Via Parallel
Computations", International Conference on Numerical Analysis and
Applied Mathematics, (ICNAAM2006), 1519 September 2006, Hersonnisos,
Crete, Greece, pp. 2023, 2006
53.
Derya Arda, Volkan Agun, Metin Demiralp, "Effect of the Differentiation on
the Addivity of High Dimensional Model Representation", International
Conference on Numerical Analysis and Applied Mathematics, (ICNAAM2006),
1519 September 2006, Hersonnisos, Crete, Greece, pp. 3639, 2006
54.
Metin Demiralp, "Monotonously Increasing Multiplicativity Measurers in
Factorized High Dimensional Model Representation", International
Conference on Numerical Analysis and Applied Mathematics, (ICNAAM2006),
1519 September 2006, Hersonnisos, Crete, Greece, pp. 109112, 2006
55.
Metin Demiralp, "Transformational High Dimensional Model Representation",
International Conference on Computational Mathematics in Science and
Engineering (ICCMSE 2006) 27 October1 November 2006, Chania, Crete,
Greece, pp. 128131, 2006
56.
Deniz Güvenç, Metin Demiralp, "High Dimensional Model Representation Based
Partitioning of a Function's Data Set With Uncertainty in Data Given Points",
International Conference on Computational Mathematics in Science and
Engineering (ICCMSE 2006) 27 October1 November 2006, Chania, Crete,
Greece, pp. 180183, 2006
57.
Metin Demiralp, "Conversion of First Order Linear Vector Differential
Equations with Polynomial Coefficient Matrix to Okubo Form", 11th World
Scientific and Engininering Academy and Society (WSEAS) Conference on Applied
Mathematics (MATH'07), 2224 March 2007, Dallas, USA, pp. 250254, 2007
58.
Metin Demiralp, "Series Expansion of a Function's Expectation Matrix at the
Zero Interval Length Limit", Numerical Analysis and Applied Mathematics,
AIP Proceedings, International Conference on Numerical Analysis and Applied
Mathematics, (ICNAAM2007), 1620 September 2007, Corfu, Greece, pp.
155158, 2007
59.
Sevda Üsküplü and Metin Demiralp, "Transformation of Ordinary Differential
Equations into Okubo Universal Form with Space Extension and its Truncating
Approximations", Numerical Analysis and Applied Mathematics, AIP
Proceedings, International Conference on Numerical Analysis and Applied
Mathematics, (ICNAAM2007), 1620 September 2007, Corfu, Greece, pp.
562565, 2007
60.
Metin Demiralp, "Expectation Matrix Based Quantum Dynamics of a Univariate
System at the Zero Interval Length Limit", Computation in Science and
Engineering, AIP Proceedings 2B, International Conference on
Computational Methods in Science and Engineering, (ICCMSE2007), 2530
September 2007, Corfu, Greece, pp. 11831186, 2007
61.
Sevda Üsküplü and Metin Demiralp, "Conversion of Matrix ODEs to Certain
Universal and Easily Handlable Forms Via Space Extension", Applied
Mathematics for Science and Engineering, World Scientific and Engineering
Academy and Society (WSEAS) Conference on Applied Mathematics (MATH'07),
2931 December 2007, Cairo, Egypt, pp. 4347, 2007
62.
M. Alper Tunga and Metin Demiralp, "Computational Complexity Investigations
for High Dimensional Model Representation Algorithms Used in Multivariate
Interpolation Problems", Applied Mathematics for Science and Engineering,
World Scientific and Engininering Academy and Society (WSEAS) Conference on
Applied Mathematics (MATH'07), 2931 December 2007, Cairo, Egypt, pp.
133139, 2007
63.
İrem Yaman and Metin Demiralp, "The Zero Interval Limit Spectrum of a
Truncated Fluctuation Matrix on a Univariate Function Type Multiplicative
Algebraic Operator Over The Relevant Hilbert Space", Applied Mathematics
for Science and Engineering, World Scientific and Engineering Academy and
Society (WSEAS) Conference on Applied Mathematics (MATH'07), 2931
December 2007, Cairo, Egypt, pp. 146151, 2007
64.
Caner Gülpınar, N. Abdülbaki Baykara and Metin Demiralp, "The Influence of
the Peak Location on the Additivity of the High Dimensional Model
Representation", Applied Mathematics for Science and Engineering, World
Scientific and Engininering Academy and Society (WSEAS) Conference on
Applied Mathematics (MATH'07), 2931 December 2007, Cairo, Egypt, pp.
152156, 2007
65.
Burcu Tunga and Metin Demiralp, "A Novel Hybrid High Dimensional Model
Representation (HHDMR) Based on the Combination of Plain and Logarithmic
High Dimensional Model Representation", Applied Mathematics for Science
and Engineering, World Scientific and Engininering Academy and Society
(WSEAS) Conference on Applied Mathematics (MATH'07), 2931 December
2007, Cairo, Egypt, pp. 157161, 2007
66.
Handan Demirer, N. Abdülbaki Baykara and Metin Demiralp, "High Dimensional
Model Representation For Exponential Function With Quadratic Argument",
Multivariate Analysis and Its Application for Science and Engineering,
World Scientific and Engineering Academy and Society (WSEAS) Conference on
Multivariate Analysis and Its Application for Science and Engineering
(MAASE'08), Additional Proceeding, 2931 May 2008, İSTANBUL, Türkiye,
pp. 2633, 2008
67.
M. Alper Tunga and Metin Demiralp, "Introductory Steps For An Indexing
Based HDMR Algorithm: Lumping HDMR", Multivariate Analysis and Its
Application for Science and Engineering, World Scientific and Engineering
Academy and Society (WSEAS) Conference on Multivariate Analysis and Its
Application for Science and Engineering (MAASE'08), 2931 May 2008,
İSTANBUL, Türkiye, pp. 129135, 2008
68.
Buket Benek and Metin Demiralp, "Approximation Methods for the Solution of
Quantum Evolution Equations at the Zero Fluctuation Limit", Multivariate
Analysis and Its Application for Science and Engineering, World Scientific
and Engineering Academy and Society (WSEAS) Conference on Multivariate
Analysis and Its Application for Science and Engineering (MAASE'08),
2931 May 2008, İSTANBUL, Türkiye, pp. 136140, 2008
69.
Nejla Altay and Metin Demiralp, "Numerical Solution of Differential
Equations Via Splines", Multivariate Analysis and Its Application for
Science and Engineering, World Scientific and Engineering Academy and
Society (WSEAS) Conference on Multivariate Analysis and Its Application for
Science and Engineering (MAASE'08), 2931 May 2008, İSTANBUL, Türkiye,
pp. 141145, 2008
70.
Ayşegül Kurşunlu and Metin Demiralp, "Partial Derivative Evaluating Formulae
From a Data Given on the Nodes of a Regular Planar Grid", Multivariate
Analysis and Its Application for Science and Engineering, World Scientific
and Engineering Academy and Society (WSEAS) Conference on Multivariate
Analysis and Its Application for Science and Engineering (MAASE'08),
2931 May 2008, İSTANBUL, Türkiye, pp. 146150, 2008
71.
İrem Yaman and Metin Demiralp, "Rayleigh Quotient Maximization Via Matrix
Direct Product Based Factorization", Multivariate Analysis and Its
Application for Science and Engineering, World Scientific and Engineering
Academy and Society (WSEAS) Conference on Multivariate Analysis and Its
Application for Science and Engineering (MAASE'08), 2931 May 2008,
İSTANBUL, Türkiye, pp. 151155, 2008
72.
Nejla Altay and Metin Demiralp, "Numerical Solution of Ordinary Differential
Equations in Fluctuationlessness Theorem Perspective", Multivariate
Analysis and Its Application for Science and Engineering, World Scientific
and Engineering Academy and Society (WSEAS) Conference on Multivariate
Analysis and Its Application for Science and Engineering (MAASE'08),
2931 May 2008, İSTANBUL, Türkiye, pp. 162167, 2008
73.
Engin Kanal and Metin Demiralp, "Data Partitioning Via High Dimensional Model
Representation by Using Paralel Computing", Multivariate Analysis and Its
Application for Science and Engineering, World Scientific and Engineering
Academy and Society (WSEAS) Conference on Multivariate Analysis and Its
Application for Science and Engineering (MAASE'08), 2931 May 2008,
İSTANBUL, Türkiye, pp. 168173, 2008
74.
Sevda Üsküplü and Metin Demiralp, "Conversion of PDEs to Certain Universal
and Easily Handleable Forms Via Space Extension", Multivariate Analysis
and Its Application for Science and Engineering, World Scientific and
Engineering Academy and Society (WSEAS) Conference on Multivariate Analysis
and Its Application for Science and Engineering (MAASE'08), 2931 May
2008, İSTANBUL, Türkiye, pp. 179182, 2008
75.
Caner Gülpınar, N. Abdülbaki Baykara and Metin Demiralp, "How Additive Are
the Fourier Series in the Sense of High Dimensional Model Representation?"
Multivariate Analysis and Its Application for Science and Engineering,
World Scientific and Engineering Academy and Society (WSEAS) Conference on
Multivariate Analysis and Its Application for Science and Engineering
(MAASE'08), 2931 May 2008, İSTANBUL, Türkiye, pp. 183188, 2008
76.
Coşar Gözükırmızı and Metin Demiralp, "Introductory Steps for the Design of
An Algorithm for Finding the Higher Order Fluctuation Terms via Symbolic
Simplifications", Multivariate Analysis and Its Application for Science
and Engineering, World Scientific and Engineering Academy and Society (WSEAS)
Conference on Multivariate Analysis and Its Application for Science and
Engineering (MAASE'08), 2931 May 2008, İSTANBUL, Türkiye, pp. 189192,
2008
77.
Burcu Tunga and Metin Demiralp, "Fluctuationlessness Approximation Towards
Orthogonal Hyperprismatic Grid Construction", Multivariate Analysis and
Its Application for Science and Engineering, World Scientific and Engineering
Academy and Society (WSEAS) Conference on Multivariate Analysis and Its
Application for Science and Engineering (MAASE'08), 2931 May 2008,
İSTANBUL, Türkiye, pp. 193197, 2008
78.
Berfin Kalay and Metin Demiralp, "Smoothening the Integrands to Increase
the Quality of Fluctuationlessness Approximation in Numerical Integration",
Multivariate Analysis and Its Application for Science and Engineering,
World Scientific and Engineering Academy and Society (WSEAS) Conference
on Multivariate Analysis and Its Application for Science and Engineering
(MAASE'08), 2931 May 2008, İSTANBUL, Türkiye, pp. 204208, 2008
79.
Nihal Şen, N. Abdülbaki Baykara and Metin Demiralp, "High Dimensional Model
Representation (HDMR) and Transformational HDMR", Multivariate Analysis
and Its Application for Science and Engineering, World Scientific and
Engineering Academy and Society (WSEAS) Conference on Multivariate Analysis
and Its Application for Science and Engineering (MAASE'08), 2931 May
2008, İSTANBUL, Türkiye, pp. 209215, 2008
80.
Muzaffer Ayvaz and Metin Demiralp, "Utilization of the Fluctuationlessness
Theorem in the Evaluation of Certain Operator Matrix Representations for
Optimally Controlled Simple Quantum Harmonic Oscillator", Multivariate
Analysis and Its Application for Science and Engineering, World Scientific
and Engineering Academy and Society (WSEAS) Conference on Multivariate
Analysis and Its Application for Science and Engineering (MAASE'08),
2931 May 2008, İSTANBUL, Türkiye, pp. 216220, 2008
81.
Pınar Tiryaki, N. Abdülbaki Baykara and Metin Demiralp, "On the role of
the Weight Function in the Truncation Quality of High Dimensional Model
Representation", Multivariate Analysis and Its Application for Science
and Engineering, World Scientific and Engineering Academy and Society
(WSEAS) Conference on Multivariate Analysis and Its Application for
Science and Engineering (MAASE'08), 2931 May 2008, İSTANBUL, Türkiye,
pp. 221226, 2008
82.
Esma Meral and Metin Demiralp, "A Perturbative Approach to the Critical
Time Durations in Quantum Optimal Control for Multivariate Harmonic
Oscillator", Multivariate Analysis and Its Application for Science and
Engineering, World Scientific and Engineering Academy and Society (WSEAS)
Conference on Multivariate Analysis and Its Application for Science and
Engineering (MAASE'08), 2931 May 2008, İSTANBUL, Türkiye, pp. 227231,
2008
83.
Evrim Korkmaz and Metin Demiralp, "Small Scale High Dimensional Model
Representation", Multivariate Analysis and Its Application for Science
and Engineering, World Scientific and Engineering Academy and Society (WSEAS)
Conference on Multivariate Analysis and Its Application for Science and
Engineering (MAASE'08), 2931 May 2008, İSTANBUL, Türkiye, pp. 232236,
2008
84.
Nejla Altay, Metin Demiralp, "Application of Fluctuationlessness Theorem on
the Numerical Solution of Higher Order Linear Ordinary Differential
Equations", AIP Proceedings of the International Conference on Numerical
Analysis and Applied Mathematics (ICNAAM 2008), 1520 September 2008,
Kos, Greece, pp. 5255, 2008
85.
N. Abdülbaki Baykara, Ercan Gürvit, Metin Demiralp, "A Hybridized Finite
Taylor Formula by Fluctuation Free Remainder Term for Univariate Function
Approximation", AIP Proceedings of the International Conference on
Numerical Analysis and Applied Mathematics (ICNAAM 2008), 1520
September 2008, Kos, Greece, pp. 8791, 2008
86.
Metin Demiralp, "Finite Subspace Matrix Representation of the Multiplications
Operator's Resolvent in Terms of Fluctuation Matrices", AIP Proceedings
of the International Conference on Numerical Analysis and Applied Mathematics
(ICNAAM 2008), 1520 September 2008, Kos, Greece, pp. 159162, 2008
87.
Coşar Gözükırmızı, Metin Demiralp, "Evaluation of Fluctuation Coefficients
for Three Consecutive Term Recursive Basis Functions", AIP Proceedings
of the International Conference on Numerical Analysis and Applied Mathematics
(ICNAAM 2008), 1520 September 2008, Kos, Greece, pp. 231234, 2008
88.
Ercan Gürvit, N. Abdülbaki Baykara, Metin Demiralp, "Evaluation of Univariate
Integrals via Fluctuationlessness Theorem", AIP Proceedings of the
International Conference on Numerical Analysis and Applied Mathematics
(ICNAAM 2008), 1520 September 2008, Kos, Greece, pp. 239243, 2008
89.
Burcu Tunga, Metin Demiralp, "Applications of Multivariate Integration via
Fluctuationlessness Approximation: HHDMR", AIP Proceedings of the
International Conference on Numerical Analysis and Applied Mathematics
(ICNAAM 2008), 1520 September 2008, Kos, Greece, pp. 561565, 2008
90.
Sevda Üsküplü, Metin Demiralp, "Univariate Integration via Space Extension
Based No Fluctuation Approximation", AIP Proceedings of the International
Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2008),
1520 September 2008, Kos, Greece, pp. 566569, 2008
91.
İrem Yaman, Metin Demiralp, "An Integration Free Universal Approximation
Method Based on Orthogonal Polynomials", AIP Proceedings of the
International Conference on Numerical Analysis and Applied Mathematics
(ICNAAM 2008), 1520 September 2008, Kos, Greece, pp. 601604, 2008
92.
N.A. Baykara, Ercan Gürvit and Metin Demiralp, "A Hybridized Finite Taylor
Formula by Fluctuation Free Remainder Term for a Multivariate Function
Approximation", AIP Proceedings of the Sixth International Conference of
Computational Methods in Science and Engineering (ICCMSE 2008 Hersonissos,
Crete, Greece, 2530 September, in print, 2008
93.
Ercan Gürvit, N.A. Baykara and Metin Demiralp, "Evaluation of Multivariate
Integrals Via Fluctuationlessness and Taylor's Remainder", AIP Proceedings
of the Sixth International Conference of Computational Methods in Science
and Engineering (ICCMSE 2008), Hersonissos, Crete, Greece, 2530 September,
in print, 2008
94.
Metin Demiralp, "Approximation of the Independent Variable's Resolvent Via
Hilbert Space Folding on its Control Subspace", AIP Proceedings of the
Sixth International Conference of Computational Methods in Science and
Engineering (ICCMSE 2008), Hersonissos, Crete, Greece, 2530 September,
, in print, 2008
95.
E. Gürvit, N.A. Baykara and M. Demiralp, "Numerical Integration of Bivariate
Functions over a Non Rectangular Area by Using Fluctuationlessness Theorem",
Proceedings for the WSEAS Conference on the 2nd Multivariate Analysis
and its Application in Science and Engineering (MAASE'09), İstanbul,
Türkiye(Turkey), 30 May  1 June 2009., pp. 8186, 2009
96.
N. Altay and M. Demiralp, "Fluctuationlessness Theorem and its Application
to Boundary Value Problems of ODEs", Proceedings for the WSEAS Conference
on the 2nd Multivariate Analysis and its Application in Science and
Engineering (MAASE'09), İstanbul, Türkiye(Turkey), 30 May  1 June 2009.
, pp. 8792, 2009
97.
C. Gözükırmızı and M. Demiralp, (2009), "The Application of the Fluctuation
Expansion with Extended Basis Set to Numerical Integration", Proceedings
for the WSEAS Conference on the 2nd Multivariate Analysis and its
Application in Science and Engineering (MAASE'09), İstanbul, Türkiye(Turkey),
30 May  1 June 2009., pp. 93100, 2009
98.
M.A. Tunga and M. Demiralp, "A Reverse Technique for Lumping High Dimensional
Model Representation Method", Proceedings for the WSEAS Conference on the
2nd Multivariate Analysis and its Application in Science and Engineering
(MAASE'09), İstanbul, Türkiye(Turkey), 30 May  1 June 2009., pp.
101106, 2009
99.
S. Üsküplü and M. Demiralp, "Truncation Approximations For Two Term Recursive
Universal Form Of Matrix Ordinary Differential Equations", Proceedings for
the WSEAS Conference on the 2nd Multivariate Analysis and its Application in
Science and Engineering (MAASE'09), İstanbul, Türkiye(Turkey), 30 May  1
June 2009., pp. 107111, 2009
100.
S. Tuna, B. Tunga N.A. Baykara and M. Demiralp, "Fluctuation Free Matrix
Representation Based Univariate Integration in Hybrid High Dimensional Model
Representation (HHDMR) Over Plain and Factorized HDMR", Proceedings for
the WSEAS Conference on the 2nd Multivariate Analysis and its Application in
Science and Engineering (MAASE'09), İstanbul, Türkiye (Turkey), 30 May  1
June 2009., pp. 112117, 2009
101.
B. Tunga and M. Demiralp, "A Nonlinear Perturbative Scheme to Solve Weight
Optimization Problem of High Dimensional Model Representation (HDMR)",
Proceedings for the WSEAS Conference on the 2nd Multivariate Analysis
and its Application in Science and Engineering (MAASE'09), İstanbul,
Türkiye(Turkey), 30 May  1 June 2009., pp. 118124, 2009
102.
M. Demiralp and E. Demiralp, "A New Straightforward Decomposition Method
Without Iteration to Approximate Matrices via Dominant Basis Matrices",
The International Conference on Scientific Computing  WorldComp09
(CSC'09), 1316 July 2009, Las Vegas, Nevada, USA., pp. 7983, 2009
103.
M. Demiralp, "High Dimensional Model Representation Supported by Products
of Univariate Functions", AIP Proceedings for the International Conference
of Numerical Analysis and Applied Mathematics (ICNAAM 2009), 1822 September
2009, Rethymno, Crete, Greece, pp. 420423, 2009
104.
M. Demiralp and E. Demiralp, "An Orthonormal Decomposition Method For
Multidimensional Matrices", AIP Proceedings for the International
Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2009),
1822 September 2009, Rethymno, Crete, Greece, pp. 424427, 2009
105.
N.A. Baykara, E. Gürvit and M. Demiralp, "Fluctuationless Univariate
Integration Through Taylor Expansion With Remainder By Using Oscillatory
Function Basis Sets", AIP Proceedings for the International Conference
of Numerical Analysis and Applied Mathematics (ICNAAM 2009), 1822
September 2009, Rethymno, Crete, Greece, pp. 428431, 2009
106.
E. Gürvit, N.A. Baykara and M. Demiralp, "Taylor Series Expansion with
the Fluctuation Freely Approximated Remainder Over Highly Oscillatory Basis
Functions", AIP Proceedings for the International Conference of Numerical
Analysis and Applied Mathematics (ICNAAM 2009), 1822 September 2009,
Rethymno, Crete, Greece, pp. 432435, 2009
107.
N.A. Baykara, E. Gürvit and M. Demiralp, "Numerical Approximation to
Multivariate Functions Using Fluctuationlessness Theorem with a Trigonometric
Basis Function to Deal with Highly Oscillatory Functions", Proceedings for
the Applied Computing Conference (ACC'09, WSEAS International Conference),
2830 September 2009, Vouliagmeni, Greece, pp. 394399, 2009
108.
E. Gürvit, N.A. Baykara, and M. Demiralp, "Numerical Integration of Bivariate
Functions Using Fluctuationlessness Theorem with a Trigonometric Basis
Function to Deal with Highly Oscillatory Functions", Proceedings for the
Applied Computing Conference (ACC'09, WSEAS International Conference),
2830 September 2009, Vouliagmeni, Greece, pp. 400405, 2009
109.
M.T. Gülpınar, C. Gülpınar and M. Demiralp, "Experimentations on the Gaussian
Wave Type Basis Set for the Matrix Representations of Certain Univariate
Functions", Proceedings for the Applied Computing Conference (ACC'09,
WSEAS International Conference), 2830 September 2009, Vouliagmeni, Greece, pp.
406412, 2009
110.
C. Gülpınar, M.T. Gülpınar and M. Demiralp, "Experimentations on the Associate
Laguerre Basis Set For Certain Univariate Function Matrix Representations",
Proceedings for the Applied Computing Conference (ACC'09, WSEAS
International Conference), 2830 September 2009, Vouliagmeni, Greece,
pp. 413418, 2009
111.
M. Ayvaz and M. Demiralp, "Expectation Value Evolutions for the One
Dimensional Quantum Harmonic Oscillator Under the Influence of External Dipol
Effects", Proceedings for the Applied Computing Conference (ACC'09, WSEAS
International Conference), 2830 September 2009, Vouliagmeni, Greece,
pp. 419424, 2009
112.
M. Demiralp, "Quantum Mechanical Matrix Ordinary Differential Equations and
Their Solutions by Characteristic Evolutions", Proceedings for the Applied
Computing Conference (ACC'09, WSEAS International Conference), 2830 September
2009, Vouliagmeni, Greece, pp. 657662, 2009
113.
M. Demiralp, "Various Parallel and Diversive Aspects of the Mathematical
Fluctuations Theory with the Standing Related Issues", AIP Proceedings
for the International Conference of Computational Methods in Science and
Engineering (ICCMSE 2009), Mini Symposium on Recent Developments in Numerical
Schemes for Hilbert Space Related Issues in Science and Engineering, chaired
by Metin Demiralp, 29 September 4 October2009, Rhodes, Greece, in print,
2009
114.
E. Gürvit, N.A. Baykara, and M. Demiralp, "Fluctuation Studies in the Finite
Interval Matrix Representations of Operator Products and Their
Decompositions", AIP Proceedings for the International Conference of
Computational Methods in Science and Engineering (ICCMSE 2009), Mini
Symposium on Recent Developments in Numerical Schemes for Hilbert Space
Related Issues in Science and Engineering, chaired by Metin Demiralp, 29
September4 October2009, Rhodes, Greece, in print, 2009
115.
N.A. Baykara, E. Gürvit and M. Demiralp, "Fluctuation Studies in the Infinite
Interval Matrix Representations of Operator Products and Their
Decompositions", AIP Proceedings for the International Conference of
Computational Methods in Science and Engineering (ICCMSE 2009), Mini
Symposium on Recent Developments in Numerical Schemes for Hilbert Space
Related Issues in Science and Engineering, chaired by Metin Demiralp, 29
September4 October2009, Rhodes, Greece, in print, 2009
116.
C. Gözükırmızı and M. Demiralp, "Selfconsistent Fluctuation Expansion and
its Application To Numerical Integration", AIP Proceedings for the
International Conference of Computational Methods in Science and Engineering
(ICCMSE 2009), Mini Symposium on Recent Developments in Numerical Schemes
for Hilbert Space Related Issues in Science and Engineering, chaired by Metin
Demiralp, 29 September4 October2009, Rhodes, Greece, in print, 2009
117.
M. Ayvaz and M. Demiralp, "Optimal Control Equations for the One Dimensional
Quantum Harmonic Oscillator Under the Influence of External Dipole Effects",
AIP Proceedings for the International Conference of Computational Methods
in Science and Engineering (ICCMSE 2009), Mini Symposium on Recent
Developments in Numerical Schemes for Hilbert Space Related Issues in Science
and Engineering, chaired by Metin Demiralp, 29 September  4 October2009,
Rhodes, Greece, in print, 2009
118.
M.T. Gülpınar, C. Gülpınar and M. Demiralp, "Exponentially Supported
Polynomial Basis Set Using Fluctuation Free Integration in the Taylor
Expansion Remainder Term Evaluation", AIP Proceedings for the International
Conference of Computational Methods in Science and Engineering (ICCMSE 2009),
Mini Symposium on Recent Developments in Numerical Schemes for Hilbert Space
Related Issues in Science and Engineering, chaired by Metin Demiralp, 29
September  4 October2009, Rhodes, Greece, in print, 2009
119.
C. Gülpınar, M.T. Gülpınar and M. Demiralp, "Taylor Series Expansion with
the Fluctuation Freely Approximated Remainder over Gauss Wave Type Basis
Functions", AIP Proceedings for the International Conference of
Computational Methods in Science and Engineering (ICCMSE 2009), Mini
Symposium on Recent Developments in Numerical Schemes for Hilbert Space
Related Issues in Science and Engineering, chaired by Metin Demiralp,
29 September4 October2009, Rhodes, Greece, in print, 2009
120.
S. Tuna, N.A. Baykara and M. Demiralp, "Taylor Series Based Integration
With The Fluctuation Freely Approximated Remainder Over Gauss Wave Type
Basis Functions", AIP Proceedings for the International Conference of
Computational Methods in Science and Engineering (ICCMSE 2009), Mini
Symposium on Recent Developments in Numerical Schemes for Hilbert Space
Related Issues in Science and Engineering, chaired by Metin Demiralp,
29 September  4 October2009, Rhodes, Greece, in print, 2009
121.
B. Tunga and M. Demiralp, "Support Function Influences on the Univariance
of the Enhanced Multivariance Product Representation", AIP Proceedings
for the International Conference of Computational Methods in Science and
Engineering (ICCMSE 2009), Mini Symposium on Recent Developments in Numerical
Schemes for Hilbert Space Related Issues in Science and Engineering, chaired
by Metin Demiralp, 29 September4 October2009, Rhodes, Greece, in print,
2009
122.
S. Üsküplü and M. Demiralp, "Basic Components in Fluctuation Free Integration
of Highly Oscillatory Functions", AIP Proceedings for the International
Conference of Computational Methods in Science and Engineering (ICCMSE 2009),
Mini Symposium on Recent Developments in Numerical Schemes for Hilbert Space
Related Issues in Science and Engineering, chaired by Metin Demiralp, 29
September4 October2009, Rhodes, Greece, in print, 2009
123.
E. Korkmaz and M. Demiralp, "Data Completion Via Combined and Optimized Small
Scale High Dimensional Model Representation", AIP Proceedings for the
International Conference of Computational Methods in Science and Engineering
(ICCMSE 2009), Mini Symposium on Recent Developments in Numerical Schemes for
Hilbert Space Related Issues in Science and Engineering, chaired by Metin
Demiralp, 29 September  4 October2009, Rhodes, Greece, in print, 2009
124.
M.A. Tunga and M. Demiralp, "Fluctuation Free Matrix Representation Based
Random Data Partitioning Through HDMR", AIP Proceedings for the
International Conference of Computational Methods in Science and Engineering
(ICCMSE 2009), Mini Symposium on Recent Developments in Numerical Schemes
for Hilbert Space Related Issues in Science and Engineering, chaired by Metin
Demiralp, 29 September  4 October2009, Rhodes, Greece, in print, 2009
125.
M. Demiralp and E. Demiralp, "Dimensionality Reduction and Approximation via
Space Extension And Multilinear Array Decomposition", AIP Proceedings for
the International Conference of Computational Methods in Science and
Engineering (ICCMSE 2009), Mini Symposium on Recent Developments in Numerical
Schemes for Hilbert Space Related Issues in Science and Engineering, chaired
by Metin Demiralp, 29 September  4 October2009, Rhodes, Greece, in print, 2009
126.
C. Gözükırmızı and M. Demiralp, "Extended Fluctuationlessness Theorem and its
Application to Numerical Integration", Proceedings for the 1st IEEEAM
Conference on Applied Computer Science (ACS), Malta, 1517 September,
pp. 226233, 2010
127.
M.A. Tunga and M. Demiralp, "Fluctuation Free Matrix Representation Based
HDMR Method to Model Multivariate Data", Proceedings for the 1st IEEEAM
Conference on Applied Computer Science (ACS), Malta, 1517 September,
pp. 240246, 2010
128.
B. Tunga and M. Demiralp, "An Iterative Scheme for Enhanced Multivariance
Product Representation Method", Proceedings for the 1st IEEEAM Conference
on Applied Computer Science (ACS), Malta, 1517 September, pp. 247255,
2010
129.
N.A. Baykara, E. Gürvit and M. Demiralp, "Extended Fluctuationlessness
Theorem and its Application to Numerical Approximation via Taylor Series",
Proceedings for the 1st IEEEAM Conference on Applied Computer Science
(ACS), Malta, 1517 September, pp. 317323, 2010
130.
B. Kalay and M. Demiralp, "Affine Transformational Enhanced Multivariance
Product Representation (ATEMPR) and Its Relation to Rational Approximants",
Proceedings for the 1st IEEEAM Conference on Applied Computer Science
(ACS), Malta, 1517 September, pp. 336340, 2010
131.
E.K. Özay and M. Demiralp, "Combined Small Scale Enhanced Multivariance
Product Representation", Proceedings for the 1st IEEEAM Conference on
Applied Computer Science (ACS), Malta, 1517 September, pp. 350356,
2010
132.
E. Gürvit, N.A. Baykara and M. Demiralp, "Extended Fluctuationlessness
Theorem and its Application to Numerical Integration via Taylor Series",
Proceedings for the 1st IEEEAM Conference on Applied Computer Science
(ACS), Malta, 1517 September, pp. 362368, 2010
133.
E. Demiralp and M. Demiralp, "Reductive Multilinear Array Decomposition
Based Support Functions in Enhanced Multivariance Product Representation
(EMPR)", Proceedings for the 1st IEEEAM Conference on Applied Computer
Science (ACS), Malta, 1517 September, pp. 448454, 2010
134.
C. Gözükırmızı and M. Demiralp, "Numerical Studies on the Use of Enhanced
Multivariance Product Representation as a Multiway Array Decomposer",
AIP Proceedings for the International Conference of Numerical Analysis
and Applied Mathematics (ICNAAM 2010), Symposium 112, Recent Developments
in Hilbert Space Tools and Methodology for Scientific Computing, 1926
September 2010, Rhodes, Greece, ID: 1121, 2010
135.
S. Tuna, N.A. Baykara and M. Demiralp, "Roles of the Basis Functions on the
Weight Function Generating Subspace Construction", AIP Proceedings for
the International Conference of Numerical Analysis and Applied Mathematics
(ICNAAM 2010), Symposium 112, Recent Developments in Hilbert Space Tools
and Methodology for Scientific Computing, 1926 September 2010, Rhodes,
Greece, ID: 1122, 2010
136.
Z. Gündoğar, N.A. Baykara and M. Demiralp, "Basic Features of Conic
Transformational High Dimensional Model Representation", AIP Proceedings
for the International Conference of Numerical Analysis and Applied
Mathematics (ICNAAM 2010), Symposium 112, Recent Developments in Hilbert
Space Tools and Methodology for Scientific Computing, 1926 September 2010,
Rhodes, Greece, ID: 1123, 2010
137.
A. Okan, N.A. Baykara and M. Demiralp, "Weight Optimization in Enhanced
Multivariance Product Representation (EMPR)", AIP Proceedings for the
International Conference of Numerical Analysis and Applied Mathematics
(ICNAAM 2010), Symposium 112, Recent Developments in Hilbert Space Tools
and Methodology for Scientific Computing, 1926 September 2010, Rhodes,
Greece, ID: 1124, 2010
138.
N.A. Baykara, E. Gürvit and M. Demiralp, "Multi Nodalset Fluctuation Free
Approximation In Taylor Remainder's Evaluation", AIP Proceedings for
the International Conference of Numerical Analysis and Applied Mathematics
(ICNAAM 2010), Symposium 112, Recent Developments in Hilbert Space Tools
and Methodology for Scientific Computing, 1926 September 2010, Rhodes,
Greece, ID: 1125, 2010
139.
E. Gürvit, N.A. Baykara and M. Demiralp, "Multi Nodalset Fluctuation Free
Integration In Taylor Remainder's Evaluation", AIP Proceedings for the
International Conference of Numerical Analysis and Applied Mathematics
(ICNAAM 2010), Symposium 112, Recent Developments in Hilbert Space Tools and
Methodology for Scientific Computing, 1926 September 2010, Rhodes,
Greece, ID: 1126, 2010
140.
M. Ayvaz and M. Demiralp, "A Fluctuation Analysis at the Classical Limit for
the Expectation Dynamics of a Single Quartic Quantum Anharmonic Oscillator",
AIP Proceedings for the International Conference of Numerical Analysis and
Applied Mathematics (ICNAAM 2010), Symposium 112, Recent Developments in
Hilbert Space Tools and Methodology for Scientific Computing, 1926 September
2010, Rhodes, Greece, ID: 1127, 2010
141.
E. Demiralp and M. Demiralp, "Dynamical Causal Modeling From a Quantum
Dynamical Perspective", AIP Proceedings for the International Conference
of Numerical Analysis and Applied Mathematics (ICNAAM 2010), Symposium 112,
Recent Developments in Hilbert Space Tools and Methodology for Scientific
Computing, 1926 September 2010, Rhodes, Greece, ID: 1128, 2010
142.
M. Demiralp, "Quantum Dynamics of Multi Harmonic Oscillators Described by
Time Variant Conic Hamiltonian and Their Use in Contemporary Sciences",
AIP Proceedings for the International Conference of Numerical Analysis
and Applied Mathematics (ICNAAM 2010), Symposium 112, Recent Developments
in Hilbert Space Tools and Methodology for Scientific Computing, 1926
September 2010, Rhodes, Greece, ID: 1129, 2010
143.
E. Demiralp and M. Demiralp, "Parameter Estimation in Dynamical Causal
Modeling", AIP Proceedings for the International Conference of
Computational Methods in Science and Engineering (ICCMSE 2010), 38 October
2010, Kos, Greece, in print, 2010
144.
N.A. Baykara, E. Gürvit and M. Demiralp, "Expectation Dynamics for Simplest
Quantum Harmonic Oscillator from Position and Momentum Operators Perspective",
AIP Proceedings for the International Conference of Computational Methods
in Science and Engineering (ICCMSE 2010), 38 October 2010, Kos, Greece,
in print, 2010
145.
E. Gürvit, N.A. Baykara and M. Demiralp, "Position and Momentum Operator
Based Fluctuation Dynamics for Simplest Quantum Harmonic Oscillator",
AIP Proceedings for the International Conference of Computational Methods
in Science and Engineering (ICCMSE 2010), 38 October 2010, Kos, Greece,
in print, 2010
146.
M. Demiralp and E. Demiralp, "A Comprehensive Mathematical Look at the
Unidimensional Quantum Harmonic Oscillator", AIP Proceedings for the
International Conference of Computational Methods in Science and Engineering
(ICCMSE 2010), 38 October 2010, Kos, Greece, in print, 2010
147.
E. Demiralp and M. Demiralp, "Relationship Between Linear Dynamic Systems
and Quantum Harmonic Oscillators", AIP Proceedings for the International
Conference of Computational Methods in Science and Engineering (ICCMSE
2010), 38 October 2010, Kos, Greece, in print, 2010
148.
A. Tunga and M. Demiralp, "Data Partitioning Through Piecewise Based
Generalized HDMR: Univariate Case", 2nd International Symposium on
Computing in Science and Engineering (ISCSE'11), Kuşadası, TÜRKİYE, 14
June 2011, Proc. Num: 700/47, pp. 11941199, 2011
149.
B. Tunga and M. Demiralp, "A Node Optimisation in Piecewise High Dimensional
Model Representation", 2nd International Symposium on Computing in
Science and Engineering (ISCSE'11), Kuşadası, TÜRKİYE, 14 June 2011,
Proc. Num: 700/49, pp. 12061211, 2011
150.
E.K. Özay and M. Demiralp, "Two Dimensional Node Optimization in Piecewise
High Dimensional Model Representation", Proceedings of the International
Conference on Computational and Mathematical Methods in Science and
Engineering (CMMSE2011), Benidorm, Spain, 2630 June 2011, in print,
2011
151.
S. Tuna and M. Demiralp, "Effects of the Weight Function Choices on
SingleNode Fluctuation Free Integration", Proceedings of the
International Conference on Computational and Mathematical Methods
in Science and Engineering (CMMSE2011), Benidorm, Spain, 2630 June
2011, in print, 2011
152.
B. Tunga and M. Demiralp, "Basic Issues in Vector High Dimensional Model
Representation", AIP Proceedings for the 9th International Conference
on Numerical Analysis and Applied Mathematics (ICNAAM2011), Halkidiki,
Greece, 1925 September 2011, 1389, pp. 11431146, 2011
153.
E.K. Özay and M. Demiralp, "Piecewise Vector High Dimensional Model
Representation", AIP Proceedings for the 9th International Conference
on Numerical Analysis and applied Mathematics (ICNAAM2011), Halkidiki,
Greece, 1925 September 2011, 1389, pp. 11471151, 2011
154.
A. Tunga and M. Demiralp, "Generalized Enhanced Multivariance Product
Representation for Data Partitioning: Constancy Level", AIP Proceedings
for the 9th International Conference on Numerical Analysis and Applied
Mathematics (ICNAAM2011), Halkidiki, Greece, 1925 September 2011,
1389, pp. 11521155, 2011
155.
B. Kalay and M. Demiralp, "Fundamental Elements of Vector Enhanced
Multivariance Product Representation", AIP Proceedings for the 9th
International Conference on Numerical Analysis and Applied Mathematics
(ICNAAM2011), Halkidiki, Greece, 1925 September 2011, in print,
2011
156.
M. Demiralp, "Decomposing Functions, Arrays or Function Arrays", Lecture
Talk based on the symposium 48's preface, AIP Proceedings for the 9th
International Conference on Numerical Analysis and Applied Mathematics
(ICNAAM2011), Halkidiki, Greece, 1925 September 2011, 1389,
pp. 11381138, 2011
157.
L. Divanyan and M. Demiralp, "Weighted Reductive Multilinear Array
Decomposition", AIP Proceedings for the 9th International Conference
on Numerical Analysis and Applied Mathematics (ICNAAM2011), Halkidiki,
Greece, 1925 September 2011, 1389, pp. 11561159, 2011
158.
A. Okan, N.A. Baykara and M. Demiralp, "A Gauss Quadrature Like Numerical
Integration Approach Based on Hermite Interpolation with Node Optimisation",
AIP Proceedings for the 9th International Conference on Numerical
Analysis and Applied Mathematics (ICNAAM2011), Halkidiki, Greece, 1925
September 2011, 1389, pp. 11681171, 2011
159.
Z. Gündoğar, N.A. Baykara and M. Demiralp, "Derivative Including Quadratures
Based on Kernel Decomposition", AIP Proceedings for the 9th International
Conference on Numerical Analysis and Applied Mathematics (ICNAAM2011),
Halkidiki, Greece, 1925 September 2011, 1389, pp. 11761179,
2011
160.
E. Gürvit, N.A. Baykara and M. Demiralp, "Taylor Formula with Remainder
Term Evaluated Under a Weight Factor at Fluctuationlessness Limit", AIP
Proceedings for the 9th International Conference on Numerical Analysis and
Applied Mathematics (ICNAAM2011), Halkidiki, Greece, 1925 September 2011
, 1389, pp. 11801183, 2011
161.
N.A. Baykara and M. Demiralp, "Small Scale Expansion Possibilities for
Weight Functions in High Dimensional Model Representation", AIP
Proceedings for the 9th International Conference on Numerical Analysis and
Applied Mathematics (ICNAAM2011), Halkidiki, Greece, 1925 September 2011
, 1389, pp. 11391142, 2011
162.
M. Ayvaz and M. Demiralp, "Quantum Optimal Control of Single Harmonic
Oscillator Under Quadratic Controls Together With Linear Dipole
Polarizability: A Fluctuation Free Expectation Value Dynamical Perspective",
AIP Proceedings for the 9th International Conference on Numerical Analysis
and Applied Mathematics (ICNAAM2011), Halkidiki, Greece, 1925 September
2011, 1389, pp. 11871191, 2011
163.
S. Tuna and M. Demiralp, "Matrix High Dimesional Model Representation (MHDMR)
with the Weight Matrices Generated by Subspace Construction", AIP
Proceedings for the 9th International Conference on Numerical Analysis and
Applied Mathematics (ICNAAM2011), Halkidiki, Greece, 1925 September 2011
, 1389, pp. 11921195, 2011
164.
M. Demiralp, "Asymptotically Function Flattening Transformations via Taylor
Polynomial and Affine Superoperator over Function Operators", AIP
Proceedings for the 9th International Conference on Numerical Analysis and
Applied Mathematics (ICNAAM2011), Halkidiki, Greece, 1925 September 2011
, 1389, pp. 11961199, 2011
165.
M. Demiralp and E. Demiralp, "Array Flattening Transformations via
Superoperators on Difference, Unit and Shift Operators", AIP
Proceedings for the 9th International Conference on Numerical Analysis
and Applied Mathematics (ICNAAM2011), Halkidiki, Greece, 1925 September
2011, 1389, pp. 12001203, 2011
166.
M. Demiralp, "A Gentle Introduction to High Dimensional Model Representation
Under Nonproduct Type Weights", Proceedings of the 2nd International
Conference on Applied Informatics and Computing Theory (AICT'11), IEEEAM,
Prague, Czech Republic, 2628 September, pp. 113118, 2011
167.
E. Demiralp and M. Demiralp, "Array Flattening Based Univariate High
Dimensional Model Representation (AFBUHDMR)", Proceedings of the 2nd
International Conference on Applied Informatics and Computing Theory
(AICT'11), IEEEAM, Prague, Czech Republic, 2628 September, pp.
107112, 2011
168.
A. Okan, N.A. Baykara and M. Demiralp, "Weight Optimisation in Enhanced
Multivariance Product Representation (EMPR) for Given Supports at the
Fluctuation Free Integration Limit", Proceedings of the 2nd International
Conference on Applied Informatics and Computing Theory (AICT'11), IEEEAM,
Prague, Czech Republic, 2628 September, pp. 5257, 2011
169.
Z. Gündoğar, N.A. Baykara and M. Demiralp, "Conic Transformational High
Dimensional Model Representation in Comparison With HermitePade
Approximants", Proceedings of the 2nd International Conference on Applied
Informatics and Computing Theory (AICT'11), IEEEAM, Prague, Czech Republic,
2628 September, pp. 4551, 2011
170.
N.A. Baykara and M. Demiralp, "Function Flattening Transformational High
Dimensional Model Representation", Proceedings of the 2nd International
Conference on Applied Informatics and Computing Theory (AICT'11), IEEEAM,
Prague, Czech Republic, 2628 September, pp. 6469, 2011
171.
S. Tuna, N.A. Baykara and M. Demiralp, "Weighted Singular Value
Decomposition for Folded Matrices", Proceedings of the 2nd International
Conference on Applied Informatics and Computing Theory (AICT'11), IEEEAM,
Prague, Czech Republic, 2628 September, pp. 7075, 2011
172.
M. Ayvaz and M. Demiralp, "Towards a New Multiway Array Decomposition
Algorithm: Elementwise Multiway Array High Dimensional Model Representation
(EMAHDMR)", Proceedings of the 2nd International Conference on Applied
Informatics and Computing Theory (AICT'11), IEEEAM, Prague, Czech Republic,
2628 September, pp. 7681, 2011
173.
L. Divanyan and M. Demiralp, "High Dimensional Model Representation (HDMR)
Based Folded Vector Decomposition", Proceedings of the 2nd International
Conference on Applied Informatics and Computing Theory (AICT'11), IEEEAM,
Prague, Czech Republic, 2628 September, pp. 3944, 2011
174.
E. Gürvit, N.A. Baykara and M. Demiralp, "Multivariable Function Approximation
Applied on a Weighted Taylor Expansion with Remainder Term", Proceedings
of the 2nd International Conference on Applied Informatics and Computing
Theory (AICT'11), IEEEAM, Prague, Czech Republic, 2628 September,
pp. 5863, 2011
175.
M. Demiralp and E. Demiralp, "Probabilistic Evolutions: The Ultimate, Natural
and Exact Linearisation of ODEs", AIP Proceedings for the 9th International
Conference on Computational Methods in Science and Engineering (ICCMSE2011),
Halkidiki, Greece, 27 October 2011, in print, 2011
176.
M. Demiralp and E. Demiralp, "Increasing the Qualities of the Truncated
Probabilistic Evolutions by Controlling Fluctuations", AIP Proceedings
for the 9th International Conference on Computational Methods in Science and
Engineering (ICCMSE2011), Halkidiki, Greece, 27 October 2011, in print,
2011
177.
E. Gürvit, N.A. Baykara and M. Demiralp, "Employing the Probabilistic
Evolutions of ODEs in Function Inversion under Fluctuation Control",
AIP Proceedings for the 9th International Conference on Computational
Methods in Science and Engineering (ICCMSE2011), Halkidiki, Greece, 27
October 2011, in print, 2011
178.
N.A. Baykara, E. Gürvit and M. Demiralp, "Axial and Planar Probabilistic
Evolutions in Explicit Ordinary Differential Equations", AIP Proceedings
for the 9th International Conference on Computational Methods in Science
and Engineering (ICCMSE2011), Halkidiki, Greece, 27 October 2011,
in print, 2011
179.
E. Demiralp and M. Demiralp, "Constrained Parameter Estimation in Dynamical
Systems", AIP Proceedings for the 9th International Conference on
Computational Methods in Science and Engineering (ICCMSE2011), Halkidiki,
Greece, 27 October 2011, in print, 2011
180.
N. A. Baykara, Ercan Gürvit, Metin Demiralp, "Univariate Single Quantum
Harmonic Oscillator from Probabilistic Evolution", "Mathematical Models
and Methods in Applied Sciences", Proceedings of the 13th WSEAS International
Conference on Mathematics and Computers in Biology and Chemistry (MCBC'12),
"G. Enescu" University, Iasi, Romania, 1315 June 2012, pp. 2732, 2012
181.
Ercan Gürvit, N. A. Baykara, Metin Demiralp, "Empowering Fluctuation Free
Integration via Contour Integration: Circular Contours", "Mathematical
Models and Methods in Applied Sciences", Proceedings of the 13th WSEAS
International Conference on Mathematics and Computers in Biology and
Chemistry (MCBC'12), "G. Enescu" University, Iasi, Romania, 1315 June
2012, pp. 3338, 2012
182.
Fatih Hunutlu, N. A. Baykara, Metin Demiralp, "Conicalization of the
Probabilistic Evolutions for the Ordinary and Forced Van der Pol Equation
under Given Initial Conditions", "Mathematical Models and Methods in
Applied Sciences", Proceedings of the 13th WSEAS International Conference on
Mathematics and Computers in Biology and Chemistry (MCBC'12), "G. Enescu"
University, Iasi, Romania, 1315 June 2012, pp. 3944, 2012
183.
Coşar Gözükırmızı, Metin Demiralp, "Convergence of Probabilistic Evolution
Truncation Approximants via Eigenfunctions of Evolution Operator",
"Mathematical Models and Methods in Applied Sciences", Proceedings of
the 13th WSEAS International Conference on Mathematics and Computers in
Biology and Chemistry (MCBC'12), "G. Enescu" University, Iasi, Romania,
1315 June 2012, pp. 4550, 2012
184.
Semra Bayat, Metin Demiralp, "Probabilistic Evolution for the Most General
First Order Single Unknown Explicit ODEs: Autonomization, Triangularization,
and, Certain Important Aspects in the Analysis", "Mathematical Models
and Methods in Applied Sciences", Proceedings of the 13th WSEAS International
Conference on Mathematics and Computers in Biology and Chemistry (MCBC'12),
"G. Enescu" University, Iasi, Romania, 1315 June 2012, pp. 5762, 2012
185.
Tuğba N. Öztürk, Metin Demiralp, "Probabilistic Evolution in Purely Second
Order One Unknown Autonomous Explicit ODEs under Initial Conditions",
"Mathematical Models and Methods in Applied Sciences", Proceedings of
the 13th WSEAS International Conference on Mathematics and Computers in
Biology and Chemistry (MCBC'12), "G. Enescu" University, Iasi, Romania,
1315 June 2012, pp. 6368, 2012
186.
N.A. Baykara, Metin Demiralp, "Taking Care of the Singularities in the
Probabilistic Evolutionary Quantum Expectation Value Dynamics",
Proceedings of the 2012 International Conference on Computational and
Mathematical Methods in Science and Engineering, Murcia, Spain, 26 July
2012, pp. 153156, 2012
187.
Ercan Gürvit, N.A. Baykara, Metin Demiralp, "Empowering Fluctuation Free
Approximation via Contour Integration: Circular Contours", Proceedings
of the 2012 International Conference on Computational and Mathematical
Methods in Science and Engineering, Murcia, Spain, 26 July 2012,
pp. 688698, 2012
188.
Fatih Hunutlu, N.A. Baykara, Metin Demiralp, "Truncation Approximants to
Probabilistic Evolution for ODEs Having Two Diagonal Banded Evolution
Matrices Under Initial Conditions: Simple Case", Proceedings of the
2012 International Conference on Computational and Mathematical Methods
in Science and Engineering, Murcia, Spain, 26 July 2012, pp.
720731, 2012
189.
Alper Tunga, Metin Demiralp, "A Factorized Novel Bound Analysis For
Multivariate Data Modelling: Interval Factorized HDMR", Proceedings of
the 2012 International Conference on Computational and Mathematical Methods
in Science and Engineering, Murcia, Spain, 26 July 2012, pp.
11731185, 2012
190.
Burcu Tunga, Metin Demiralp, "Probabilistic Evolution of the State Variable
Expected Values in Liouville Equation Perspective, for a Many Particle
System Interacting Via Elastic Forces", Proceedings of the 2012
International Conference on Computational and Mathematical Methods in
Science and Engineering, Murcia, Spain, 26 July 2012, pp. 11861197,
2012
191.
Süha Tuna, Metin Demiralp, "Probabilistic Evolution for Initial Value
Problems (IVP) over Fourier Basis Set", International Conference on
Nonlinear Problems in Aviation and Aerospace 2012 (ICNPAA 2012), World
Congress: 9th International Conference on "Mathematical Problems in
Engineering, Aerospace and Sciences, 1014 July 2012, Vienna, Austria
(to be published in the relevant AIP Proceedings, 2012)
192.
Ercan Gürvit, N.A. Baykara, Metin Demiralp, "Fluctuation Free
Differentiation via Circular Contour Integration", Recent Researches
in Communications and Computers, WSEAS Proceedings of the 16th
International Conference on Computers, a part of CSCC'12, Kos Island,
Greece, 1417 July 2012 pp. 341346, 2012
193.
Coşar Gözükırmızı, Metin Demiralp, "Analytic Continuation Possibilities
for Divergent Initial Vectors in the Probabilistic Evolution of Explicit
ODEs", Advances in Systems Theory, Signal Processing and Computational
Science, Proceedings of the 12th WSEAS International Conference on Systems
Theory and Scientific Computation, İstanbul, Türkiye, 2123 August 2012,
pp. 182186, 2012
194.
Zeynep Gündoğar, N.A. Baykara, Metin Demiralp, "Weight Function Optimisation
to Get Constancy for a Given Möbius Transformational High Dimensional Model
Representation", Advances in Systems Theory, Signal Processing and
Computational Science, Proceedings of the 12th WSEAS International Conference
on Systems Theory and Scientific Computation, İstanbul, Türkiye, 2123
August 2012,pp. 198202, 2012
195.
Derya Bodur, Metin Demiralp, "Probabilistic Evolution Approach to First
Order Explicit Ordinary Differential Equations for Two Unknown Case",
Advances in Systems Theory, Signal Processing and Computational Science,
Proceedings of the 12th WSEAS International Conference on Systems Theory
and Scientific Computation, İstanbul, Türkiye, 2123 August 2012,
pp. 203207, 2012
196.
M. Alper Tunga, Metin Demiralp, "Bound Analysis in Univariately Truncated
Factorized HDMR for a Multivariate Function Given at the Nodes of an
Hypergrid", Advances in Systems Theory, Signal Processing and Computational
Science, Proceedings of the 12th WSEAS International Conference on Systems
Theory and Scientific Computation, İstanbul, Türkiye, 2123 August 2012,
pp. 208212, 2012
197.
Ayla Okan, N.A. Baykara, Metin Demiralp, "Parameter Optimisation to Get
Maximum Constancy in Constant Möbius Transformational High Dimensional Model
Representation", Advances in Systems Theory, Signal Processing and
Computational Science, Proceedings of the 12th WSEAS International Conference
on Systems Theory and Scientific Computation, İstanbul, Türkiye, 2123 August
2012,pp. 219223, 2012
198.
Tuğba N. Öztürk, Metin Demiralp, "Classical Dynamics of Isolated Univariate
Quartic Anharmonic Oscillator via Probabilistic Evolution", Advances in
Systems Theory, Signal Processing and Computational Science, Proceedings
of the 12th WSEAS International Conference on Systems Theory and Scientific
Computation, İstanbul, Türkiye, 2123 August 2012,pp. 224228, 2012
199.
Ercan Gürvit, Metin Demiralp, "Enhanced Multivariate Product Representation
at Constancy Level in Probabilistic Evolution Approach to First Order
Explicit ODEs", Advances in Systems Theory, Signal Processing and
Computational Science, Proceedings of the 12th WSEAS International
Conference on Systems Theory and Scientific Computation, İstanbul,
Türkiye, 2123 August 2012,pp. 229234, 2012
200.
Burcu Tunga, Metin Demiralp, "ClosePack Approach to the Evaluation of
Classical Two Particle Cluster Integral for LennardJones Potential",
Advances in Systems Theory, Signal Processing and Computational Science,
Proceedings of the 12th WSEAS International Conference on Systems Theory
and Scientific Computation, İstanbul, Türkiye, 2123 August 2012,
pp. 235240, 2012
201.
Berfin Kalay, Metin Demiralp, "Quantum Expected Value Dynamics in
Probabilistic Evolution Perspective for Systems Under Dynamic Weak External
Fields", Advances in Systems Theory, Signal Processing and Computational
Science, Proceedings of the 12th WSEAS International Conference on Systems
Theory and Scientific Computation, İstanbul, Türkiye, 2123 August 2012,
pp. 241245, 2012
202.
Süha Tuna, Metin Demiralp, "Certain Validations of Probabilistic Evolution
Approach for Initial Value Problems", Advances in Systems Theory, Signal
Processing and Computational Science, Proceedings of the 12th WSEAS
International Conference on Systems Theory and Scientific Computation,
İstanbul, Türkiye, 2123 August 2012,pp. 246249, 2012
203.
Ercan Gürvit, N.A. Baykara, Metin Demiralp, "Enhanced Multivariate Product
Representation Applied to the Remainder Term of a Multivariate Taylor
Expansion Expressed as a Cauchy Integral Form", Advances in Systems
Theory, Signal Processing and Computational Science, Proceedings of the
12th WSEAS International Conference on Systems Theory and Scientific
Computation, İstanbul, Türkiye, 2123 August 2012,pp. 250255, 2012
204.
Fatih Hunutlu, N.A. Baykara, Metin Demiralp, "Truncation Approximants and
Their Qualities in the Probabilistic Evolution of Van der Pol Equation Under
Initial Conditions", Advances in Systems Theory, Signal Processing and
Computational Science, Proceedings of the 12th WSEAS International Conference
on Systems Theory and Scientific Computation, İstanbul, Türkiye, 2123 August
2012,pp. 256261, 2012
205.
Evrim Korkmaz Özay, Metin Demiralp, "Support Function Optimisation at
Enhanced Multivariance Product Representation via Fluctuationlessness
Theorem", Advances in Systems Theory, Signal Processing and Computational
Science, Proceedings of the 12th WSEAS International Conference on Systems
Theory and Scientific Computation, İstanbul, Türkiye, 2123 August 2012,
pp. 262267, 2012
206.
Muzaffer Ayvaz, Metin Demiralp, "Getting Triangularity and Conicality in
the Probabilistic Evolutionary Expectation Dynamics of the Purely Quartic
Quantum Anharmonic Oscillator", Advances in Systems Theory, Signal
Processing and Computational Science, Proceedings of the 12th WSEAS
International Conference on Systems Theory and Scientific Computation,
İstanbul, Türkiye, 2123 August 2012,pp. 268271, 2012
207.
Semra Bayat, Metin Demiralp, "Quantum Optimal Control Theoretical
Observable Transitions Between State and Costate in Probabilistic Evolution
Perspective", Advances in Systems Theory, Signal Processing and
Computational Science, Proceedings of the 12th WSEAS International
Conference on Systems Theory and Scientific Computation, İstanbul, Türkiye,
2123 August 2012,pp. 272277, 2012
208.
Burcu Tunga, Metin Demiralp, "Probabilistic Evolutions in Classical
Dynamics: Conicalization and Block Triangularization of LennardJones
Systems", International Conference of Numerical Analysis and Applied
Mathematics, 1520 September 2012, Kos Island, Greece, AIP
Proceedings, 1479, pp. 19861989, 2012
209.
Derya Bodur, Metin Demiralp, "A Perturbative Approach to High Dimensional
Model Representation (HDMR) Under Nonproduct Type Weight and Over
Orthogonal Geometry", International Conference of Numerical Analysis and
Applied Mathematics, 1520 September 2012, Kos Island, Greece, AIP
Proceedings, 1479, pp. 19941997, 2012
210.
Berfin Kalay, Metin Demiralp, "Fundamental Elements of Vector Enhanced
Multivariance Product Representation", International Conference of
Numerical Analysis and Applied Mathematics, 1520 September 2012, Kos
Island, Greece, , AIP Proceedings, 1479, pp. 19982001, 2012
211.
Ayla Okan, N. Abdülbaki Baykara, Metin Demiralp, "Fluctuation Suppression
to Optimize Initial Data to Increase the Quality of Truncation
Approximants in Probabilistic Evolution Approach for ODEs: Basic
Philosophy", International Conference of Numerical Analysis and Applied
Mathematics, 1520 September 2012, Kos Island, Greece, AIP
Proceedings, 1479, pp. 20072010, 2012
212.
Metin Demiralp, Berfin Kalay, "Singular One Dimensional Quantum Systems
in Fluctuation Free Expectation Dynamics: Reciprocal Interparticle Distance
Dependent Systems", The Proceedings of the WSEAS 15th International
Conference on Mathematical and Computational Methods in Science and
Engineering (MACMESE'13), 24 April 2013, Kuala Lumpur, Malaysia,
pp. 207211, 2013
213.
Metin Demiralp, Muzaffer Ayvaz, "Expectation Value Dynamics for Isolated
Quantum Systems in the Fluctuationlessness Perspective: One Dimensional
Symmetric Quartic Anharmonic Oscillator", The Proceedings of the WSEAS
15th International Conference on Mathematical and Computational Methods
in Science and Engineering (MACMESE'13), 24 April 2013, Kuala Lumpur,
Malaysia, pp. 195200, 2013
214.
Metin Demiralp, Semra Bayat, "Fluctuation Free Limit Behavior of the One
Dimensional Quantum Systems in Space Extension Perspective: Exponentially
Anharmonic Symmetric Oscillator", The Proceedings of the WSEAS 15th
International Conference on Mathematical and Computational Methods in
Science and Engineering (MACMESE'13), 24 April 2013, Kuala Lumpur,
Malaysia, pp. 201206, 2013
215.
Metin Demiralp, "Binomial Expansion for the Kronecker Powers of Vector
Sums", The Proceedings of the Second WSEAS International Conference
on Applied and Computational Mathematics (ICACM'13), 1416 May 2013,
Vouliagmeni, Greece, pp. 140145, 2013
216.
Semra Bayat, Metin Demiralp, "Conservation law construction via mathematical
fluctuation theory for exponentially anharmonic, symmetric, quantum
oscillator", The proceedings of the 13th International Conference on
Computational and Mathematical Methods in Science and Engineering (CMMSE
13), 2427 June 2013, Almeria, Spain, pp. 218225
217.
Derya Bodur, Metin Demiralp, "Product type weights generated by a single
nonproduct type weight function in high dimensional model representation
(HDMR)", The proceedings of the 13th International Conference on
Computational and Mathematical Methods in Science and Engineering (CMMSE
13), 2427 June 2013, Almeria, Spain, pp. 265272
218.
Emre Demiralp, Luis HernandezGarcia, Metin Demiralp, "Using population
level models to characterize individual behavior with space extension and
P.E.A.(probabilistic evolution approach), The proceedings of the 13th
International Conference on Computational and Mathematical Methods in
Science and Engineering (CMMSE 13), 2427 June 2013, Almeria, Spain,
pp. 486495
219.
Metin Demiralp, "Constancy adding space extension (CASE) to get Kronecker
power series kernel separability in conical explicit ordinary differential
equation solutions", The proceedings of the 13th International Conference
on Computational and Mathematical Methods in Science and Engineering
(CMMSE 13), 2427 June 2013, Almeria, Spain, pp. 496503
220.
Metin Demiralp, "Kernel separability in Kronecker power solutions for conical
explicit ordinary differential equations", The proceedings of the 13th
International Conference on Computational and Mathematical Methods in Science
and Engineering (CMMSE 13), 2427 June 2013, Almeria, Spain, pp. 504512
221.
Metin Demiralp, "Enforcing the core rectangular matrices to be in most
reductive structures in probabilistic evolution approach, via mathematical
fluctuations", The Proceedings of the International Europment Conference
on Applied Mathematics and Computational Methods in Engineering (AMCME'13),
1619 July 2013, Rhodes, Greece, pp. 171178, 2013
222.
Zeynep Gündoğar, Metin Demiralp, "Constancy Added Space Extension and
Kronecker Power Series Kernel Separation for One Variable Conical ODEs",
The Proceedings of the WSEAS 13th International Conference on System
Theory and Scientıfic Computation (ISTASC'13), 68 August 2013, Valencia,
Spain, pp. 6165, 2013
223.
Derya Bodur, Metin Demiralp, "Second Degree Rectangular Eigenproblems of
Cubic Multiway Arrays", The Proceedings of the WSEAS 13th International
Conference on System Theory and Scientific Computation (ISTASC'13), 68
August 2013, Valencia, Spain, pp. 6669, 2013
224.
Fatih Hunutlu, Metin Demiralp, "Constancy Added Space Extension for
Conicalized Van Der Pol Equation and Kronecker Power Series Kernel
Separation on the Extended Problem", The Proceedings of the 13th
International WSEAS Conference on System Theory and Scientific Computation
(ISTASC'13), 68 August 2013, Valencia, Spain, pp. 7075, 2013
225.
Gizem Özdemir, Metin Demiralp, "First Degree Rectangular Eigenvalue Problems
of Cubic Arrays Over Two Dimensional Ways: A Theoretical Investigation",
The Proceedings of the WSEAS 13th International Conference on System
Theory and Scientific Computation (ISTASC'13), 68 August 2013, Valencia,
Spain, pp. 7680, 2013
226.
Muzaffer Ayvaz, Metin Demiralp, "Space Extension Strategies for
Probabilistic Evolution Approach: Classical Symmetric Quartic Anharmonic
Oscillator", The Proceedings of the WSEAS 13th International Conference
on System Theory and Scientific Computation (ISTASC'13), 68 August 2013,
Valencia, Spain, pp. 8186, 2013
227.
Metin Demiralp, "Fluctuation Suppressing Approximations to the Kronecker
Power Series Representation of a Scalar Multivariate Function", The
Proceedings of the WSEAS 13th International Conference on System Theory
and Scientific Computation (ISTASC'13), 68 August 2013, Valencia, Spain
, pp. 8790, 2013
228.
Metin Demiralp, "Product and Reciprocal Evaluations Over Kronecker Power
Series", The Proceedings of the WSEAS 13th International Conference on
System Theory and Scientific Computation (ISTASC'13), 68 August 2013,
Valencia, Spain, pp. 9195, 2013
229.
Berfin Kalay, Metin Demiralp, "Constancy Added Space Extension for the
Fluctuation Free Expectation Value Dynamics of Hydrogenlike Quantum
Systems", The Proceedings of the WSEAS 13th International Conference on
System Theory and Scientific Computation (ISTASC'13), 68 August 2013,
Valencia, Spain, pp. 96100, 2013
230.
Semra Bayat, Metin Demiralp, "Space Extensions Including Constancy Addition
for Exponentially Anharmonic Symmetric Quantum Oscillator in Fluctuation
Free Expectation Value Dynamics", The Proceedings of the WSEAS 13th
International Conference on System Theory and Scientific Computation
(ISTASC'13), 68 August 2013, Valencia, Spain, pp. 111116, 2013
231.
N. Abdülbaki Baykara, Metin Demiralp, "Transforming Spherically Symmetric
Timeindependent Schrödinger Equation with Screened Coulomb Potential to
Okubo Form", The Proceedings of the WSEAS 13th International Conference
on System Theory and Scientific Computation (ISTASC'13), 68 August 2013,
Valencia, Spain, pp. 127131, 2013
232.
Metin Demiralp, "Power Integral Representation for a Kronecker Power Series
to a Multivariate Function and Its Coefficients", The Proceedings of the
WSEAS 13th International Conference on System Theory and Scientific
Computation (ISTASC'13), 68 August 2013, Valencia, Spain, pp. 132136,
2013
233.
Metin Demiralp, Muzaffer Ayvaz, "Finite Interval Moment Problem and Related
Issues for the Kronecker Power Series", The Proceedings of the WSEAS 13th
International Conference on System Theory and Scientific Computation
(ISTASC'13), 68 August 2013, Valencia, Spain, pp. 142146, 2013
234.
Zeynep Gündoğar, Metin Demiralp, "Enhanced Multivariance Product
Representation Under an Integral Operator Weight with a Product Type Kernel
of Univariate Factors", The Proceedings of the WSEAS 1st International
Conference on Optimization Techniques in Engineering (OTENG'13), 810 October
2013, Antalya, Turkey, pp. 2328, 2013
235.
Semra Bayat, Metin Demiralp, "Governing the Reductive Flexibilities in the
Kronecker Power Representation of Ordinary Differential Equations",
The Proceedings of the WSEAS 1st International Conference on Optimization
Techniques in Engineering (OTENG'13), 810 October 2013, Antalya, Turkey
, pp. 120124, 2013
236.
Derya Bodur, Metin Demiralp, "High Dimensional Model Representation Under
an Integral Operator Weight with a Product Type Kernel of Univariate
Factors", The Proceedings of the WSEAS 1st International Conference on
Optimization Techniques in Engineering (OTENG'13), 810 October 2013,
Antalya, Turkey, pp. 146150, 2013
237.
Alparslan Pehlivan, Metin Demiralp, "Integral Representation Varieties for
Kronecker Power Series", The Proceedings of the WSEAS 1st International
Conference on Optimization Techniques in Engineering (OTENG'13), 810 October
2013, Antalya, Turkey, pp. 155159, 2013
238.
Melike Ebru Kırkın, Metin Demiralp, "Reciprocal Approximants for Kronecker
Power Series", The Proceedings of the WSEAS 1st International Conference
on Optimization Techniques in Engineering (OTENG'13), 810 October 2013,
Antalya, Turkey, pp. 166170, 2013
239.
Berfin Kalay, Metin Demiralp, "Reducing Multinomiality into Conicality in
Autonomous Explicit Ordinary Differential Equations", The Proceedings of
the WSEAS 1st International Conference on Optimization Techniques in
Engineering (OTENG'13), 810 October 2013, Antalya, Turkey, pp. 187191,
2013
240.
Muzaffer Ayvaz, Metin Demiralp, "Multivariate Hausdorff Moment Problem
Arising From Quantum Mechanical Applications of Probabilistic Evolution
Approach", The Proceedings of the WSEAS 1st International Conference on
Optimization Techniques in Engineering (OTENG'13), 810 October 2013,
Antalya, Turkey, pp. 201205, 2013
241.
Muzaffer Ayvaz, Metin Demiralp, "Matrix Weighted Multivariate Hausdorff
Moment Problem Arising From Quantum Mechanical Applications of Probabilistic
Evolution Approach", The Proceedings of the WSEAS 1st International
Conference on Optimization Techniques in Engineering (OTENG'13), 810
October 2013, Antalya, Turkey, pp. 222227, 2013
242.
Coşar Gözükırmızı and Metin Demiralp, "Constancy Adding Space Extension
for ODE Sets with Second Degree Multinomial Right Hand Side Functions",
10th International Conference of Computational Methods in Science
and Engineering (ICCMSE), The First ICCMSE Symposium on Mathematical
Fluctuation Theoretical Issues and Kronecker Power Series in Quantum
Dynamical Problems, 47 April 2014, Athens, Greece, AIP Proceedings,
????, pp. ????????, 201? (to be published)
243.
Metin Demiralp, "Extended Space Expectation Values in Quantum Dynamical
System Evolutions", 10th International Conference of Computational
Methods in Science and Engineering (ICCMSE), The First ICCMSE Symposium
on Mathematical Fluctuation Theoretical Issues and Kronecker Power
Series in Quantum Dynamical Problems, 47 April 2014, Athens, Greece,
AIP Proceedings, ????, pp. ????????, 201? (to be published)
244.
Berfin Kalay and Metin Demiralp, "Extended Space Expectation Values of
Position Related Operators for Hydrogenlike Quantum System Evolutions",
10th International Conference of Computational Methods in Science
and Engineering (ICCMSE), The First ICCMSE Symposium on Mathematical
Fluctuation Theoretical Issues and Kronecker Power Series in Quantum
Dynamical Problems, 47 April 2014, Athens, Greece, AIP
Proceedings, ????, pp. ????????, 201? (to be published)
245.
Bahar Yolcu and Metin Demiralp, "Fine Tuning Points of Generating
Function Construction for Linear Recursion", 10th International
Conference of Computational Methods in Science and Engineering
(ICCMSE), The First ICCMSE Symposium on Mathematical Fluctuation
Theoretical Issues and Kronecker Power Series in Quantum Dynamical
Problems, 47 April 2014, Athens, Greece, AIP Proceedings,
????, pp. ????????, 201? (to be published)
246.
Emre Demiralp and Metin Demiralp, "Tridiagonal Matrix Enhanced
Multivariance Product Representation (TMEMPR) for Matrix Decomposition",
Proceedings of the 2014 International Conference on Computational
and Mathematical Methods in Science and Engineering (CMMSE 2014),,
37 July, 2014, Costa Ballena (Rota), Cádiz, Spain, (Contributed
presentation in the special session, "Recent Methodological Developments
in Function Approximation, Multiway Array Decompositions, ODE and PDE
Solutions: Applications From Dynamical Systems to Quantum and Statistical
Dynamics"), Vol 2, pp. 446455, 2014
247.
Gökhan Göksu and Metin Demiralp, "Partial Separation of Unknowns in Cubic
Array Decomposition", Proceedings of the 2014 International Conference
on Computational and Mathematical Methods in Science and Engineering
(CMMSE 2014),, 37 July, 2014, Costa Ballena (Rota), Cádiz, Spain,
(Contributed presentation in the special session, "Recent Methodological
Developments in Function Approximation, Multiway Array Decompositions,
ODE and PDE Solutions: Applications From Dynamical Systems to Quantum and
Statistical Dynamics"), Vol 3, pp. 650656, 2014
248.
Evrim Korkmaz Özay and Metin Demiralp, "Tridiagonal Matrix Enhanced
Multivariance Products Representation (TMEMPR) Studies: Decomposing
the Planarly Unfolded Threeway Arrays", Proceedings of the 2014
International Conference on Computational and Mathematical Methods in
Science and Engineering (CMMSE 2014),, 37 July, 2014, Costa Ballena
(Rota), Cádiz, Spain, (Contributed presentation in the special session,
"Recent Methodological Developments in Function Approximation, Multiway
Array Decompositions, ODE and PDE Solutions: Applications From Dynamical
Systems to Quantum and Statistical Dynamics"), Vol 3, pp. 785793, 2014
249.
Berfin Kalay and Metin Demiralp, "Weight Construction in Extended Space
Expectation Values for Singular Quantum Systems at Spectral Structuring
and Temporal Constancy Limit", Europment Conferences: The 2014
International Conference on Applied Mathematics, Computational Science
& Engineering (AMCSE 2014), 1215 September 2014, Varna, Bulgaria,
(to appear in the relevant IEEE publication)
250.
Coşar Gözükırmızı and Metin Demiralp, "The Influence of Initial Vector
Selection on Tridiagonal Matrix Enhanced Multivariance Products
Representation (TMEMPR)", Europment Conferences: The 2014
International Conference on Applied Mathematics, Computational Science
& Engineering (AMCSE 2014), 1215 September 2014, Varna, Bulgaria,
(to appear in the relevant IEEE publication)
251.
Ercan Gürvit, N.A. Baykara and Metin Demiralp, "Univariate Function
Decomposition Via Tridiagonal Vector Enhanced Multivariance Products
Representation (TVEMPR)", Europment Conferences: The 2014
International Conference on Applied Mathematics, Computational Science
& Engineering (AMCSE 2014), 1215 September 2014, Varna, Bulgaria,
(to appear in the relevant IEEE publication)
252.
Ayla Okan and Metin Demiralp, "Tridiagonal Kernel Enhanced Multivariance
Products Representation (TKEMPR) for Univariate Integral Operator
Kernel", Europment Conferences: The 2014 International Conference on
Applied Mathematics, Computational Science & Engineering (AMCSE 2014),
1215 September 2014, Varna, Bulgaria, (to appear in the relevant
IEEE publication)
253.
Metin Demiralp, "Relations Between the Permutations and the Matrix
norm in Denumerable Infinite Vector Folding to SemiDenumerable
Infinite Matrices", Europment Conferences: The 2014 International
Conference on Applied Mathematics, Computational Science & Engineering
(AMCSE 2014), 1215 September 2014, Varna, Bulgaria, (to appear in
the relevant IEEE publication)
254.
N.A. Baykara and Metin Demiralp, "Infinite Vector Decomposition in
Tridiagonal Matrix Enhanced Multivariance Products Representation
(TMEMPR) Perspective", Europment Conferences: The 2014 International
Conference on Applied Mathematics, Computational Science & Engineering
(AMCSE 2014), 1215 September 2014, Varna, Bulgaria, (to appear in
the relevant IEEE publication)
255.
Bahar Yolcu and Metin Demiralp, "Fine Tuning Points of Generating
Function Construction in Integral Form for Linear Recursions",
Europment Conferences: The 2014 International Conference on Applied
Mathematics, Computational Science & Engineering (AMCSE 2014), 1215
September 2014, Varna, Bulgaria, (to appear in the relevant IEEE
publication)
256.
Metin Demiralp, "Separate Node Ascending Derivatives Expansion (SNADE) for
Univariate Functions: Conceptuality and Formulation", International
Conference of Numerical Analysis and Applied Mathematics (ICNAAM), The
Fourth ICNAAM Symposium on Recent Developments in Hilbert Space Tools and
Methodology for Scientific Computing, 2228 September 2014, Rhodes Island,
Greece, AIP Proceedings, ????, pp. ????????, 201? (to be
published)
257.
Ayla Okan and Metin Demiralp, "Tridiagonal Kernel Enhanced Multivariance
Products Representation (TKEMPR) for Outer Product Sums: Arrowheading
EMPR for Kernel (AEMPRK)", International Conference of Numerical
Analysis and Applied Mathematics (ICNAAM), The Fourth ICNAAM Symposium on
Recent Developments in Hilbert Space Tools and Methodology for Scientific
Computing, 2228 September 2014, Rhodes Island, Greece, AIP
Proceedings, ????, pp. ????????, 201? (to be published)
258.
Berfin Kalay and Metin Demiralp, "Fluctuation Removal Around Spectral
and Temporal Constancy Limits Via Use of an Extended Space Expectation
Value Weight Function for Singular Quantum Systems", International
Conference of Numerical Analysis and Applied Mathematics (ICNAAM),
The Fourth ICNAAM Symposium on Recent Developments in Hilbert Space
Tools and Methodology for Scientific Computing, 2228 September 2014,
Rhodes Island, Greece, AIP Proceedings, ????, pp. ????????,
201? (to be published)
259.
N. A. Baykara and Metin Demiralp, "Separate Node Ascending Derivatives
Expansion (SNADE) for Univariate Functions: Polynomial Recursions,
Remainder Bounds and the Convergence", International Conference of
Numerical Analysis and Applied Mathematics (ICNAAM), The Fourth ICNAAM
Symposium on Recent Developments in Hilbert Space Tools and Methodology
for Scientific Computing, 2228 September 2014, Rhodes Island, Greece
, AIP Proceedings, ????, pp. ????????, 201? (to be published)

Contributions presented in national scientific meetings
and published in related proceedings

1.
"Hidrojen Atomunun Dinamik Polarizabilite Katsayısının Teorik Olarak
İncelenmesi", TÜBİTAK IV. Bilim Kongresi  Matematik Seksiyonu
Bildirileri, Ankara, 58 Kasım 1973
2.
"Zamana Bağlı Schrödinger Denkleminin Kararlı Hal Çözümlerinin Varyasyonel
İncelenmesi", TÜBİTAK IV. Bilim Kongresi  Matematik Seksiyonu
Bildirileri, Ankara, 5  8 Kasım 1973
3.
"Zamana Bağlı Schrödinger Denkleminin Bir VaryasyonelPertürbasyon Şeması",
(A. Aşkar ile birlikte), TÜBİTAK IV. Bilim Kongresi  Matematik Seksiyonu
Bildirileri, Ankara, 58 Kasım 1973
4.
"Elektrik Yüklü Parçacıkların Kuantum Mekaniğinde Pertürbasyon Serilerine
Pade Yaklaşımı", (N. A. Baykara ile birlikte), TUMTMK İkinci Ulusal
Mekanik Kongresi Bildirileri, 161169, Trabzon, 1721 Ağustos 1981
5.
"Nonlineer Diferansiyel Denklemlerde Kuantum Mekaniksel Gösterilim'e Rasyonel
Yaklaşımlar Yöntemi", (N. A. Baykara ile birlikte), TUMTMK İkinci Ulusal
Mekanik Kongresi Bildirileri, 220229, Trabzon, 1721 Ağustos 1981
6.
"Diffüzif Kinetik Olayların İncelenmesinde Kuantum Mekaniksel Gösterilim
Yöntemi", (N. A. Baykara ile birlikte), TUMTMK İkinci Ulusal Mekanik
Kongresi Bildirileri, 230236, Trabzon, 17  21 Ağustos 1981
7.
"Özdeğer Problemlerinde Varyasyonel Uzay Daraltma Yöntemi", (N. A. Baykara
ile birlikte), TUMTMK Üçüncü Ulusal Mekanik Kongresi Bildirileri,
266275, Kirazlıyayla  Bursa, 59 Eylül 1983
8.
"Özdeğer Problemlerinde Uzay Daraltma ile Hızlandırılmış Karakteristik
Fonksiyon Yöntemi", TUMTMK Üçüncü Ulusal Mekanik Kongresi Bildirileri
, 276283, Kirazlıyayla  Bursa, 59 Eylül 1983
9.
"Özdeğer Problemlerinde Beklenen Değerce Ölçeklenmeli Uzay Daraltma
Yöntemi", Sayısal Analiz Sempozyumu Bildirileri, 7283, ODTÜ, Ankara,
2325 Aralık 1983
10.
"Çok Yüksek Duyarlıklı ve Hata Sınırlamalı Sayısal Hesaplama Alt
Programları", Sayısal Analiz Sempozyumu Bildirileri, 7283, ODTÜ,
Ankara, 2325 Aralık 1983
11.
"Pade Approximants and Their Applications in Applied Mathematics",
Lecture Talk, İkinci Sayısal Analiz Sempozyumu Bildirileri,
111, ODTÜ, Ankara, 1115 Şubat 1985
12.
"Eigenvalue Problems of Linear Operators", Lecture Talk, İkinci
Sayısal Analiz Sempozyumu Bildirileri, 3247, ODTÜ, Ankara, 1115
Şubat 1985
13.
"An Algebraic Approach to the Eigenvalue Problems of Certain Differential
Operators", (Ş. B. Altan ile birlikte), İkinci Sayısal Analiz Sempozyumu
Bildirileri, 8493, ODTÜ, Ankara, 1115 Şubat 1985
14.
"Computational Difficulties of Evolution Operator Approach", (T. Ergenç
ile birlikte), İkinci Sayısal Analiz Sempozyumu Bildirileri, 94108,
ODTÜ, Ankara, 1115 Şubat 1985
15.
"Evrim Operatörü Yaklaşımında Dinamik ve Spektral Katsayıların Hesaplanması",
(T. Ergenç ile birlikte), Matematik Sempozyumu Bildirileri, 315323,
Atatürk Üniversitesi, Erzurum, 1014 Eylül 1985
16.
"Gök Mekaniğinde Evrim Operatörü Yaklaşımı", TUMTMK Dördüncü Ulusal
Mekanik Kongresi Bildirileri, 295306, Bayramoğlu  Kocaeli, 2328 Eylül
1985
17.
"Kuantum Mekaniksel Anharmonik Salınıcının Spektrumunun Belirlenmesinde
Cebrik Bir Yöntem", (H. Taseli ile birlikte), TUMTMK Dördüncü Ulusal
Mekanik Kongresi Bildirileri, 307315, Bayramoğlu  Kocaeli, 2328
Eylül 1985
18.
"Kimyasal Fiziğin Özdeğer Problemlerinde Yeni Cebrik Yöntemler",
Kimyasal Fizik Sempozyumu Bildirileri, 710, Boğaziçi Üniversitesi,
İstanbul, 12 Mayıs 1986
19.
"Özdeğer Problemlerinde Karakteristik Oranlar Yöntemi", (Ş. B. Altan ile
birlikte), Kimyasal Fizik Sempozyumu Bildirileri, 1114, Boğaziçi
Üniversitesi, İstanbul, l2 Mayıs 1986
20.
"Uzay Daraltma Yöntemi ile Perdelenmiş Coulomb Potansiyelli Sistemlerin
Özdeğerlerinin Belirlenmesi", (N. A. Baykara ile birlikte), Kimyasal
Fizik Sempozyumu Bildirileri, 1519, Boğaziçi Üniversitesi, İstanbul,
12 Mayıs 1986
21.
"Perdelenmiş Coulomb Potansiyelli Sistemlerde Yakınsak Bir Pertürbasyon
Teorisi", (H. Taşeli ile birlikte), Kimyasal Fizik Sempozyumu
Bildirileri, 2023, Boğaziçi Üniversitesi, İstanbul, 12 Mayıs 1986
22.
"An Evolution Operator Approach for the Numerical Solution of Linear ODE
Systems", (T. Ergenç ile birlikte), Proceedings of the International
Symposium on Numerical Analysis, 141152, METU, Ankara, 1987
23.
"A TwoDimensional Space Pruning Method for Regular Boundary Value
Problems", (A. Pamir ile birlikte), Proceedings of the International
Symposium on Numerical Analysis, 273286, METU, Ankara, 1987
24.
"Klasik Mekanikte Evrim Operatörü Yöntemiyle Hızlı Yakınsak Yörünge
Hesaplamaları", TUMTMK Beşinci Ulusal Mekanik Kongresi Bildirileri,
80102, Kirazlıyayla  Bursa, 711 Eylül 1987
25.
"Helyum Tipi Sistemlerde Varyasyonel Çalışmalar: Baz Kümesinin Uzay
Daraltma Yöntemiyle Oluşturulması", (N. A. Baykara ile birlikte),
TUMTMK Beşinci Ulusal Mekanik Kongresi Bildirileri, 376388,
Kirazlıyayla  Bursa, 711 Eylül 1987
26.
"Nonlinear Diferansiyel Denklemlerin Evrim Operatörü Aracılığı ile
Sayısal Olarak Çözülmesi", (T. Ergenç ile birlikte), TUMTMK Beşinci
Ulusal Mekanik Kongresi Bildirileri, 480490, Kirazlıyayla  Bursa,
711 Eylül 1987
27.
"Dönel Simetrik Cisim Halinde Stokes Denklemlerinin Kesin Çözümü İçin
Bir Yöntem", (H. Taşeli ile birlikte), TUMTMK Beşinci Ulusal Mekanik
Kongresi Bildirileri, 480490, Kirazlıyayla  Bursa, 711 Eylül
1987
28.
"KsiYaklaştıranları ile Doğrusal Olmayan Evrim Olayının İncelenmesi",
İkinci Diferansiyel Denklemler Sempozyumu, 4757, Boğaziçi
Üniversitesi, İstanbul, 1011 Ekim 1988
29.
"Sürekli Spektrum Eşiğine Dayalı Özdeğerlerin Duyarlıklı Olarak
Belirlenmesi", (N. A. Baykara ile birlikte), TUMTMK Altıncı Ulusal
Mekanik Kongresi Bildirileri, 192202, Kirazlıyayla  Bursa, 1115
Eylül 1989
30.
"Sonlu Aralıktaki Anharmonik Salınıcının Spektrumunun Belirlenmesinde
Pertürbatif Bir Yöntem", (S. Çakmak ile birlikte), TUMTMK Altıncı
Ulusal Mekanik Kongresi Bildirileri, 249254, Kirazlıyayla  Bursa,
1115 Eylül 1989
31.
"Özdeğer Problemlerinde Simetrik Wronskian Yaklaşımı", TUMTMK Altıncı
Ulusal Mekanik Kongresi Bildirileri, 192202, Kirazlıyayla  Bursa,
1115 Eylül 1989
32.
"Karışık Kısmi Türev İçeren Düzgün Sınır Değer Problemleri İçin İki
Boyutlu Uzay Daraltma Yöntemi", (A. Pamir ile birlikte), TUMTMK
Altıncı Ulusal Mekanik Kongresi Bildirileri, 576581, Kirazlıyayla 
Bursa, 1115 Eylül 1989
33.
"An Evolution Operator Approach for the Numerical Solution of Linear ODE
Systems: SkewSymmetric Case", (T. Ergenç ile birlikte), J. Fac. Sci.
KTÜ, 9, p. 159169, 1989
34.
"Perdelenmiş Columb Potansiyelli Sistemlerde Ayrık Özdeğerlerin Belirlenmesi
İçin Bir Çakıştırma Yöntemi", (K. Oruçoğlu ile birlikte), II. Ulusal
Matematik Sempozyumu Bildirileri, 139147, Ege Üniversitesi  İzmir,
2528 Eylül 1989
35.
"Tekil Operatörlerin Ayrık Spektrumunun Belirlenmesinde Büzülme Dönüşümlü Bir
Yöntem", (N. A. Baykara ile birlikte), II. Ulusal Matematik Sempozyumu
Bildirileri, 414423, Ege Üniversitesi  İzmir, 2528 Eylül 1989
36.
"Kuvantum Mekaniğinde Hiyerarşik Denklemlere Evrim Operatörü Yaklaşımı",
V. Diferansiyel Denklemler Sempozyumu Bildirileri, Anadolu
Üniversitesi, Eskişehir, 1991
37.
"Lineer, Sıradan ve Kendine Eş Diferansiyel Operatörlerin Spektrumunun
Belirlenmesinde Beklenen Değerlerle Açılım Yöntemi", VII. Diferansiyel
Denklemler Sempozyumu Bildirileri, İTÜ  Maçka Sosyal Tesisleri,
İstanbul, 1993
38.
"Bir Parametreli Lineer Sıradan Diferansiyel Operatörlerin Sürekli Spektrum
Eşiğindeki Parametre Değerlerinin Belirlenmesi: Genişletilmiş Jacobi
Çokterimlileri", VII. Diferansiyel Denklemler Sempozyumu Bildirileri
, İTÜ  Maçka Sosyal Tesisleri, İstanbul, 1993
39.
"Molekülsel Devinimlerin Eniyilemeli Denetiminde Taban Operatörü Acılımı",
9. Ulusal Mekanik Kongresi Bildirileri, 247256, Ürgüp, 1995
40.
"Yukawa Potansiyelli Kuvantum Sistemlerin Kritik Değer Belirlemelerinde
Genişletilmiş Jacobi Denklemi Yöntemi", 9. Ulusal Mekanik Kongresi
Bildirileri, 257264, Ürgüp, 1995
41.
"Anharmonik Salınıcının Optimal Denetiminde Tıkızlaştırılmış Dalgalanma
Denklemleri", (Ö. Erenoğlu ile birlikte), 9. Ulusal Mekanik Kongresi
Bildirileri, 285294, Ürgüp, 1995
42.
"Tekil Hamiltonyenli Sistemlerin Kuvantum Dinamiğinde Tıkızlaştırılmış
Dalgalanma Denklemleri", (R. Ergün ile birlikte), 9. Ulusal Mekanik
Kongresi Bildirileri, 295304, Ürgüp,1995
43.
"Genişletilmiş Morse Salınıcısının Kuvantum Dinamiğinde Uzay Genişletme
ve Taban Operatörlerine Açılım Yöntemi", (H. Sayın ve N. A. Baykara ile
birlikte), 9. Ulusal Mekanik Kongresi Bildirileri, 645653, Ürgüp,
1995
44.
"Çarpımsallaştırılmış Yüksek Boyutlu Model Gösterilimi Sınama Uygulamaları:
Üç Köşegenli Matrislerin Determinantlarının Sayısal Hesaplamaları", (N. A.
Baykara, E. Kanal, ve İ. Yaman ile birlikte), 12. Ulusal Mekanik Kongresi
Bildirileri, (Basımda), Selçuk Üniversitesi, Konya, 2001
45.
"Çarpımsallaştırılmış Yüksek Boyutlu Model Gösterilim Yaklaştıranlarının
Belirlenmesi İçin Simgesel Tabanlı Bir Yazılım Geliştirilmesi", (H. Dağ ve
A. Kanmaz ile birlikte), 12. Ulusal Mekanik Kongresi Bildirileri,
(Basımda), Selçuk Üniversitesi, Konya, 2001
46.
"Yüksek Boyutlu İletim Denkleminin Yaklaştırımında Çarpımsallaştırılmış
Yüksek Boyutlu Model Gösterilimi", (H. Dağ ve O. Ceylan ile birlikte),
12. Ulusal Mekanik Kongresi Bildirileri, (Basımda), Selçuk
Üniversitesi, Konya, 2001
47.
"Birinci Basamaktan Parça Türevli Evrim Operatörlerinin Yaklaştırımında
Çarpımsallaştırılmış Yüksek Boyutlu Model Gösterilimi", 12. Ulusal
Mekanik Kongresi Bildirileri, (Basımda), Selçuk Üniversitesi, Konya,
2001
48.
"Çarpımsallaştırılmış Yüksek Boyutlu Model Gösterilimi: Gösterilim
Çarpanlarının Belirlenmesi", 12. Ulusal Mekanik Kongresi Bildirileri
, (Basımda), Selçuk Üniversitesi, Konya, 2001
49.
"Yüksek Boyutlu Model Gösterilim: Değişmezlik ve Toplamsallık Ölçenleri,
Çarpımsal Gösterilim ve Çarpımsallık Ölçenleri", 12. Ulusal Mekanik
Kongresi Bildirileri. (Basımda), Selçuk Üniversitesi, Konya, 2001
50.
"Çok Değişkenli İnterpolasyonda Yüksek Boyutlu Model Gösterilim ve
Çarpımsallaştırılmış Yüksek Boyutlu Model Gösterilim", (A. Tunga ile
birlikte), 12. Ulusal Mekanik Kongresi Bildirileri, (Basımda),
Selçuk Üniversitesi, Konya, 2001
51.
"Yüksek Boyutlu Model Gösterilim: Yarı Sonsuz Aşkın Uzayda Doğrusal Üslü
Üstel Fonksiyon", (A. Tunga ile birlikte), 12. Ulusal Mekanik Kongresi
Bildirileri, (Basımda), Selçuk Üniversitesi, Konya, 2001
52.
"Yüksek Boyutlu Model Gösterilim: Dik Bileşenlerin Belirlenmesi İçin
Simgesel Tabanlı Bir Yazılım", (A. A. Kanmaz ile birlikte), 12.
Ulusal Mekanik Kongresi Bildirileri, (Basımda), Selçuk Üniversitesi,
Konya, 2001
53.
"Zamana Bağımlı Hamiltonyenli Schrödinger Evrim Denkleminin Çözüm
Yaklaştırımında Çarpımsallaştırılmış Yüksek Boyutlu Model Gösterilim",
(H. Saygın ve H. Kaya ile birlikte), 12. Ulusal Mekanik Kongresi
Bildirileri, (Basımda), Selçuk Üniversitesi, Konya, 2001
54.
"Zamandan Bağımsız Hamiltonyenli Schrödinger Evrim Denkleminin Çözüm
Yaklaştırımında Çarpımsallaştırılmış Yüksek Boyutlu Model Gösterilim",
(H. Saygın ve H.Kaya ile birlikte), 12. Ulusal Mekanik Kongresi
Bildirileri, (Basımda), Selçuk Üniversitesi, Konya, 2001
55.
"Küresel ve Bölgesel Güvenlik Politikası ve Güvenlik Stratejisi Bağlamında
Türkiye'nin Bilgi Teknolojisi İhtiyacı", Gelişen Bilgi Teknolojisi ile
Güvenlik Politikası ve Stratejiler Arasında Etkileşim ve Yönlendirme
Sempozyumu Bildirileri, 1011 Mart 2005, Harp Akademileri Komutanlığı,
Yenilevent, İstanbul, 117122, 2005

Book Chapters 
1.
M. Alper Tunga, Metin Demiralp, "Computational complexity investigations
for high dimensional model representation algorithms used in multivariate
interpolation problems", Advances in Numerical Methods,
11Part 1, Chapter 2, pp. 1529, Springer, 2009
2.
Burcu Tunga, Metin Demiralp, "A Novel Hybrid High Dimensional Model
Representation (HHDMR) based on the combination of plain and logarithmic
high dimensional model representations", Advances in Numerical
Methods, 11Part 1, Chapter 9, pp. 101112, Springer, 2009


[
Go back to Top
]
Projects



Professor Metin Demiralp completed one NATO and one TÜBİTAK (The Scientific
and Technological Council of Turkey) project. The findings of these projects
are reported in certain publications in the list given above. He also took
place as a visiting senior research scientist in mathematics and computer
based projects of Chemistry Department in Princeton University (New Jersey,
USA), in the time period between 1979 and 2003. He conducted his research
studies in totally and roughly three months a year in the same department
between 1985 and 2003.
His research studies are focused on the topics like Factorization of
Evolution Operators, Theory of Quantum Optimal Control, Stability and
Robustness in Optimal Control, High Dimensional Model Representations
(HDMR), Enhanced Multivariate Product Representation, Fluctuationlessness
Approximation and Fluctuation Expansion, Probabilistic Evolution Based
Linearization of ODEs, Constancy Added Space Extension.
He also conducted the establishment of the Center for the Education in
Virtual Media in İstanbul Technical University and the development of
the softwares for the İstanbul Technical University exams on Informatics
within the framework of a project. However, these efficiently contructed
softwares are not in use now because of the lack of sufficient
selfconfidence in the İTU administration. Beyond all these, he is
conducting the scientific researches of the inofficial establishment,
the Group for Science and Methods of Computing, which is composed of
members from various institutions and is accepted as perhaps the most
successful action, is continuing its existence and increases its
productivity as the days passing. This establishment which was not
officially accepted by the rectorate at the beginning, has achieved an
official identification given by the present rectorate.

[
Go back to Top
]
Administrative Responsibilities


He was the director of the Informatics Institute in İstanbul Technical
University for three years starting from the official establishment date
of this institute, 26 May 1999. He is the founder and therefore first
director of this institute. Beside this, he was acting chairmen of the
Computer Engineering Department in the Engineering Faculty of Işık University
for a time period more than one year. On the other hand, he was assigned as
a member to National Informatics Committee of the High Educational Board of
Turkey at the beginning of 2000 and continued this membership roughly for
two years until his resignation. He has no administrative position anywhere
in İstanbul Technical University just now. Parallel to these, he also took
secondary but comprehensive responsibilities like being the İstanbul
Technical University Informatics Institute Establishment Coordinator,
Informatics Council Chairman and left them after expected goals are
achieved with success.

[
Go back to Top
]
Memberships to Scientific Establishments


Resigned Principal Member, Turkish Academy of
Sciences, Scientific Academies are
known autonomus establishments almost everywhere. This is a
universal fact. They should be free of financial or gubernatorial
influences. Hence they have the right of nominating, accepting
or rejecting individuals for member positions. In 2011, Turkish
government decreed that the members of Turkish Academy of
Sciences will be nominated by two governmental establishments
and the cabinet will determine which nominees will be member.
This could not be accepted by the members of those days Academy
and most of the current members were resigned. Metin Demiralp,
like some other unresigned members, waited for the true action
which has been taken in mid 2012, and then, resigned and not
joined to the Science Academy Association established by some
of the previously resigned members.
EMS (European Mathematical Society)
WSEAS (World Scientific and Engineering Academy and Society)
Theoretical and Applied Mechanics Turk National Committee, He was
elected to be executive assistant to the president for a three
years period.
Turk Mathematical Association

[
Go back to top
]
Awards


Sedat Simavi Awards, Sciences, 1982
TÜBİTAK Stimulation Award, Mathematics, 1986

[
Go back to top
]
[
Go back to top
]
