Last Update: 07 January 2014
Previous Update: 15 September 2013

Prof. Dr. Metin DEMİRALP

Turkish Academy of Sciences  (TÜBA, Resigned in June 2012) ,  İstanbul Technical University Informatics Institute
 

Address: İTÜ Bilişim Enstitüsü, İTÜ Ayazağa Yerleşkesi, Maslak, 34469, İstanbul, TÜRKİYE
 

E-mail (1): metin.demiralp@gmail.com

E-mail (2): metin.demiralp@be.itu.edu.tr

E-mail (3): demiralp@itu.edu.tr
(The primary link is the first one of the above e-mail adresses)

Web Site (1): http://uzbilim.be.itu.edu.tr/demiralp

Web Site (2): http://bilgisayim.be.itu.edu.tr/demiralp

 

| 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 post-doctoral researcher in Princeton University (New Jersey, USA) for a 13 month period of time between 1979-1980. Position was in the group of Professor Herschel Rabitz who is a very good and well-known 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 date 5 January 2014, Ayla OKAN and Zeynep GÜNDOĞAR, are also PhD students under the supervising of Metin Demiralp, even though they are at the course stage.

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 Semi-Compiler 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 Hydrogen-atom-like 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. They are all at the course stage.

[ Go back to Top ]

Articles, Proceedings, Book Chapters

Articles published in international refereed journals

1. Attila Aşkar and Metin Demiralp, "Variational time-dependent perturbation scheme based on the hydrodynamic analogy to Schrödinger's equation", J. Chem. Phys., 60(7), pp. 2762-2766, 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. 777-785, 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. 3828-3836, Mar. 1980, DOI: 10.1063/1.439598

4. Stuart D. Augustin, Metin Demiralp, and Herschel Rabitz, "Action-angle variables for the quantum three particle system", J. Chem. Phys., 73(1), pp. 268-280, 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. 3362-3375, 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. 1810-1819, 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. 2427-2432, 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. 1622-1627, 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. 101-101, 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. 779-787, 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. 109-124, 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. 125-140, 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. 345-359, 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. 425-445, 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. 113-126, 1985, DOI: -YOK-

16. Naşit Arı and Metin Demiralp, "Energy levels of a two-dimensional anharmonic oscillator: Characteristic function approach", J. Math. Phys., 26(6), pp. 1179-1185, 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. 221-227, 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. 315-325, 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. 161-171, 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. 39-54, 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. 3903-3919, Nov. 1988, DOI: 10.1088/0305-4470/21/20/010

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. 223-232, 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. 633-640, Jun. 1989, DOI: 10.1016/0020-7225(89)90016-5

25. Metin Demiralp, S. Burhanettin Altan, "An integration-free algorithm for the solution of regular boundary value problems: space pruning approach", Int. J. Engng. Sci., 8(4), pp. 293-302, Apr. 1990, DOI: 10.1016/0020-7225(90)90102-O

26. Metin Demiralp, Herschel Rabitz, "Factorization of certain evolution operators using lie algebra: Formulation of the method", J. Math. Chem., 6(1), pp. 165-191, 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. 193-204, 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. 311-323, 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. 307-331, Feb. 1993, DOI: 10.1016/0020-7225(93)90043-T

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. 333-346, Feb. 1993, DOI: 10.1016/0020-7225(93)90044-U

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. 809-816, 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. 831-837, Feb. 1993, DOI: 10.1103/PhysRevA.47.831

33. N. A. Baykara, Metin Demiralp, "An auto-coherent variational scheme for Yukawa potential", J. Math. Chem., 16(1), pp. 167-183, 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. 185-209, 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(3-4), pp. 239-248, 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. 357-375, 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. 337-352, Sep. 1996, DOI: 10.1007/BF01166724

38. Metin Demiralp and Herschel Rabitz, "Dispersion-free wave packets and feedback solitonic motion in controlled quantum dynamics", Phys. Rev. A, 55(1), pp. 673-677, 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 first-order analytical results", J. Comp. and Appl. Math., 78(2), pp. 213-232, Feb. 1997, DOI: 10.1016/S0377-0427(96)00141-0

40. Metin Demiralp and Herschel Rabitz, "Assessing optimality and robustness of control over quantum dynamics", Phys. Rev. A, 57(4), pp. 2420-2425, 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. 2569-2578, 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 lp-RS-HDMR", J. Comput. Chem., 24(5), pp. 647-656, 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", Applied Numerical Analysis and Computational Mathematics, 1(1), pp. 231-241, 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, WILEY-VCH, 1(1), pp. 242-250, Mar. 2004, DOI:10.1002/anac.20031002

45. Metin Demiralp, "Weighted Eigenvalue Problem Approach to the Critical Value Determination of Screened Coulomb Potential Systems", Applied Numerical Analysis and Computational Mathematics, 1(1), pp. 251-259, 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. 260-269, 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", Applied Numerical Analysis and Computational Mathematics, 1(1), pp. 270-279, 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", Applied Numerical Analysis and Computational Mathematics, 1(1), pp. 280-289, 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. 865-883, 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 pFp", Appl. Numer. Anal. and Comput. Math., 2(1), pp. 19-33, 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", Appl. Numer. Anal. and Comput. Math., 2(1), pp. 60-69, May 2005, DOI: 10.1002/anac.200410023

52. M. Demiralp, S. Üsküplü, "Matrix Algebraic Infinite Product Representation for Generalized Hypergeometric Functions of Type p+1Fp ", Appl. Numer. Anal. and Comput. Math., 2(2), pp. 212-226, 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+1Fp", Appl. Numer. Anal. and Comput. Math. 2(2), pp. 227-237, 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. 1380-1399, 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. 486-492, 2005, ISSN: 1109-2769

56. M. Alper Tunga, Metin Demiralp, "Hybrid High Dimensional Model Representation (HHDMR) on the Partitioned Data", J. Comput. and Appl. Math. 185 (1), pp. 107-132, 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. 582-588, 2006, ISSN: 1109-2769

59. M. Demiralp, "Weight Parameters Optimization to Get Maximum Constancy in High Dimensional Model Representation", WSEAS Trans. Math., 5(11), pp. 1177-1181, 2006, ISSN: 1109-2769

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. 1339-1344, Jun. 2006

61. M. Demiralp, "Importance and Measurement of Univariance in High Dimensional Model Representation for Multivariate Analysis", WSEAS Trans. Comp., 5, pp. 1738-1744, Sep. 2006, ISSN: 1109-2750

62. M. A. Tunga, M. Demiralp, "A New Approach for Data Partitioning Through High Dimensional Model Representation", Int. J. Computer Math. 85(12), pp. 1779-1792, Dec. 2008, DOI: 10.1080/00207160701576095

63. M. A. Tunga, M. Demiralp, "Bound analysis in univariately truncated Generalized High Dimensional Model Representation for random-data partitioning: Interval GHDMR", Appl. Numer. Math. 59(6), pp. 1431-1448, 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. 193-198, 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. 199-204, 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. 205-212, 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. 213-218, 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. 219-223, 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. 225-230, 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. 231-237, Jun. 2009

71. M. Demiralp, "Fluctuationlessness theorem to approximate univariate functions' matrix representations", WSEAS Trans. on Math. 8 (6), pp. 258-267, 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. 834-852, Oct. 2009, DOI: 10.1007/ s10910-009-9550-4

73. İ. Yaman and M. Demiralp, "A new rational approximation technique based on transformational high dimensional model representation", Numer. Algor. 52(3), pp. 385-407, Nov. 2009, DOI: 10.1007/ s11075-009-9279-y

74. B. Tunga and M. Demiralp, "Constancy maximization based weight optimization in high dimensional model representation", Numer. Algor. 52 (3), pp. 435-459, Nov. 2009, DOI: 10.1007/s11075-009-9291-2

75. M. Demiralp, "No fluctuation approximation in any desired precision for univariate matrix representations", J. Math. Chem. 47(1), pp. 99-110, Jan. 2010, DOI: 10.1007/s10910-009-9533-5

76. N. Altay and M. Demiralp, "Numerical solution of ordinary differential equations by fluctuationlessness theorem", J. Math. Chem. 47 (4), pp. 1323-1343, May 2010, DOI: 10.1007/s10910-009-9657-7

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. 253-265, Aug. 2010, DOI: 10.1007/s10910-010-9665-7

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. 266-286, Aug. 2010, DOI: 10.1007/s10910-010-9667-5

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. 827-840, Oct. 2010, DOI: 10.1007/ s10910-010-9714-2

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. 53-67, 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. 61-76, 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. 393-406, Feb. 2011, DOI: 10.1007/s10910-010- 9748-5

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. 407-427, Feb. 2011, DOI: 10.1007/s10910-010-9749-4

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. 428-443, Feb. 2011, DOI: 10.1007/s10910-010-9750-y

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. 687-710, Mar. 2011, DOI: 10.1007/s10910-010- 9768-1

86. B. Tunga and M. Demiralp, "Fluctuation free multivariate integration based logarithmic HDMR in multivariate function representation", J. Math. Chem. 49(4), pp. 894-909, Apr. 2011, DOI: 10.1007/s10910-010- 9786-z

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. 1996-2012, Oct. 2011, DOI: 10.1007/s10910 -010-9786-z

88. M. Demiralp, "Fluctuation expansion for a univariate function's matrix representation", TWMS Journal of Pure and Applied Mathematics., 2(2), pp. 176-193, 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. 289-299, Jan. 2012, DOI: 10.1007/s10910-011-9915-3

90. M. Demiralp, E. Demiralp and L. Hernandez-Garcia, "A probabilistic foundation for dynamical systems: Theoretical background and mathematical formulation", J. Math. Chem., 50(4), pp. 850-869, Apr. 2012, DOI: 10.1007/s10910-011-9929-x

91. E. Demiralp, M. Demiralp and L. Hernandez-Garcia, "A probabilistic foundation for dynamical systems: Phenomenological reasoning and principal characteristics of probabilistic evolution", J. Math. Chem., 50(4), pp. 870-880, Apr. 2012, DOI: 10.1007/s10910- 011-9930-4

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. 199-213, Oct. 2012, DOI: 10.1007/s11227-011-0695-0

93. B. Tunga and M. Demiralp, "A novel approximation method for multivariate data partitioning: Fluctuation free integration based HDMR", Eng. Comput., 29(7), pp. 743-765, 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. 1711-1726, 2012, DOI: 10.1007/s10910-012-0001-2

95. Evrim Korkmaz Özay and Metin Demiralp, "Combined small scale high dimensional model representation", J. Math. Chem., 50(7), pp. 2023-2042, 2012, DOI: 10.1007/s10910-012-0018-6

96. Burcu Tunga and Metin Demiralp, "Hybrid HDMR method with an optimized hybridity parameter in multivariate function representation", J. Math. Chem., 50(8), pp. 2223-2232, Sep. 2012, DOI: 10.1007/s10910 -012-0026-6

97. Emre Demiralp, Renee J. Thompson, Jutta Mata, Susanne M. Jaeggi, Martin Buschkuel, Lisa Feldman Barret, Phoebe C. Elsworth, Metin Demiralp, Luis Hernandez-Garcia, Patricia J. Deldin, Ian H. Gotlib and John Jonides, "Feeling Blue or Turquoise? Emotional Differentiation in Major Depressive Disorder", Psychological Science, 23(11), pp. 1410-1416, 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. 58-72, Jan. 2013, DOI: 10.1007/s10910-012 -0070-2

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. 38-57, Jan. 2013, DOI: 10.1007/s10910-012-0064-0

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. 1170-1186, Apr. 2013, DOI: 10.1007/s10910-012-0079-6

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. 1187-1197, Apr. 2013, DOI: 10.1007/s10910-012-0080-0

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. 1198-1210, Apr. 2013, DOI:10.1007/s10910-012-0081-z

103 M. A. Tunga and M. Demiralp, "Bound Analysis Through HDMR for Multivariate Data Modelling", J. Math. Model. Algor., 12(3), pp. 265-276, Sep. 2013, DOI: 10.1007/s10852-012-9211-7

104. M. A. Tunga and M. Demiralp, "A novel method for multivariate data modelling: Piecewise generalized EMPR", J. Math. Chem., 51(10), pp. 2654-2667, Nov. 2013, DOI:10.1007/s10910-013-0228-6

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, 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??, ??. 2014,DOI:10.1007/s10910-013-0298-5

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??, ??. 2014, DOI:10.1007/s10910-013-0299-4

 

[ 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. 45-55, October 2006

2. Esma Meral, Metin Demiralp, "Doğrusal kuvantum sistemlerin eniyilemeli denetiminde kritik süreler", İTÜ Dergisi/d Mühendislik, 9(5), pp. 39-46, 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. 47-56, 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, 7-9 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, 21--23 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. 11-12, 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), 3-5 September 2009, Budapest, Hungary, Keynote Speech, Abstract, pp. 15-16, 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), 28-30 September 2009, Vouliagmeni, Greece, Keynote Speech, Abstract, pp. 19-20, 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, 15-17 September , Keynote Speech, pp. 16-17, 2010

7. M. Demiralp, "Fluctuation Free Matrix Representation in Expectation Value Dynamical Issues and Their Applications", WSEAS MCBC'11, Braşov, Romania, 11-13 April, Keynote Speech, pp. 13-14, 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 F-and-B'11, Paris, France, 28-30 April, Keynote Speech, pp. 15-16, 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, 26-28 September, Keynote Speech, pp. 11-12, 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, 27-29 October 2011, Keynote Speech, pp. 10-10, 2011

11. M. Demiralp, "Nonlinear Explicit Ordinary Differential Equations: Are They Really Nonlinear?", WSEAS MACMESE'11, Catania, Sicily, Italy, 3-5 November 2011, Keynote Speech, pp. 15-16, 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, 13-15 June 2012, Keynote Speech, pp. 14-15, 2012

13. M. Demiralp, "Quantum Expected Value Dynamics in Probabilistic Evolution Perspective", CMMSE 2012, Murcia, Spain, 2-5 July 2012, Keynote Speech (keynote speech in website, plenary speech in proceedings), pp. 449-459, 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, 10-14 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, 14-17 July 2012, Keynote Talk, pp. 19-19

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, 21-23 August 2012, Keynote Talk, pp. 14-14

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, 29-31 December 2012 , Keynote Talk, pp. 12-13

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, 2-4 April 2013, Keynote Talk, pp. 12-13

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, 14-16 May 2013, Keynote Talk, pp. 12-13

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), 24-27 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, 16-19 July 2013, Keynote Talk, pp. 17-18

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, 6-8 August 2013, Keynote Talk, pp. 12-13

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), 8-10 October 2013, Keynote Talk, pp. 14-15

 

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), 27-29 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, 10-16 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) , 22-24 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), 22-24 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), 24-26 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), 29-31 December 2007, Cairo, Egypt, (Plenary Lecture), 2007

 

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), 27-29 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, 17-20 June 2009, Geneve, Switzerland, Abstract, pp. 20-20, 2009

2. M. Demiralp, "Random Sampling High Dimensional Model Representation Via Fluctuation Free Integration", SIAM Annual Meeting (AN09), 6-10 July 2009, Denver, Colorado, ABD, Abstract, pp. 28-28, 2009

3. M. Demiralp, "Quantum Optimal Control Via Fluctuation Free Integration", SIAM Conference on Control and Its Application (CT09), 6-8 July 2009, Denver, Colorado, USA, Abstract, pp. 109-109, 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, 10-14 July 2012, Vienna, Austria

 

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), 21-26 May 2006, Kyoto, Japan, pp. B187-B187, Poster, 2006

2. Metin Demiralp, "Fluctuation Expansions in Quantum Chemistry", 12th International Congress of Quantum Congress, (ICQC12), 21-26 May 2006, Kyoto, Japan, pp. C165-C165, Poster, 2006

3. E. Demiralp, L. Hernandez-Garcia, 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, 8-11 June, Poster, 2010

4. E. Demiralp, K. Flegal, L. Hernandez-Garcia, R. Gonzalez, M. Demiralp, P. Reuter-Lorenz, J. Jonides, "Test-Retest Analysis of fMRI Reliability Using Permutation Testing in a Verb Generation Task", Annual Meeting of the Organization for Human Brain Mapping. Barcelona, Spain, 8-11 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 Urbana-Champaign, 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. 323-332, 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. 416-423, Antalya, 5-7 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 23-26, pp. 617-623, 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 23-26, pp. 624-634, 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 23-26, pp. 678-686, 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 23-26, pp. 687-696, 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 (NACoM-2003) Anglia Polytechnic University, 23-26 May 2003, Cambridge, UK, pp. 57-60, 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 (NACoM-2003), Anglia Polytechnic University, 23-26 May 2003, Cambridge, UK, pp. 103-106, 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 (NACoM-2003), Anglia Polytechnic University, 23-26 May 2003, Cambridge, UK, pp. 107-110, 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 (NACoM-2003), Anglia Polytechnic University, 23-26 May 2003, Cambridge, UK, pp. 162-165, 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, 23-26 May 2003, Cambridge, UK, pp. 166-168, 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 (NACoM-2003) , Anglia Polytechnic University, 23-26 May 2003, Cambridge, UK, pp. 177-180, 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 23-28, pp. 5-18, 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. 48-62, 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 23-28, pp. 110-121, 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. 146-159, 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. 183-192, 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 23-28, pp. 255-269, 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. 270-280, 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 23-28, pp. 281-289, 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. 315-327, 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 23-28, pp. 366-375, 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. 438-446, 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. 447-462, 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 23-28, pp. 463-474, 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), 10-15 September 2004, Chalkis, Greece , Wiley, pp. 10-15, 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), 10-15 September 2004, Chalkis, Greece, Wiley, pp. 64-66, 2004

28. Metin Demiralp, N. Abdülbaki Baykara, "Asymptotic Expansion for the Generalized Hypergeometric Function of pFp Type at Large Values of the Argument", Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2004), 10-15 September 2004, Chalkis, Greece, Wiley, pp. 122-124, 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), 10-15 September 2004, Chalkis, Greece, Wiley, pp. 185-188, 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), 10-15 September 2004, Chalkis, Greece , Wiley, pp. 224-227, 2004

31. Gülşen Taşkın, Metin Demiralp, "A Matrix Algebraic Analytic Continuation Method for Hypergeometric Functions of p+1Fp Type", Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2004), 10-15 September 2004, Chalkis, Greece , Wiley, pp. 388-390, 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), 10-15 September 2004, Chalkis, Greece, Wiley, pp. 406-409, 2004

33. Sevda Üsküplü, Metin Demiralp, "A Factorization Method for p+1F p Type Hypergeometric Function Evaluations", Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2004), 10--15 September 2004, Chalkis, Greece, Wiley, pp. 419-422, 2004

34. İrem Yaman, Metin Demiralp, N. Abdülbaki Baykara, "Factorization of Evolution Matrix to Approximate the Hypergeometric Functions of Type pF p", Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2004), 10-15 September 2004, Chalkis, Greece , Wiley, pp. 469-472, 2004

35. N. Abdülbaki Baykara, Metin Demiralp, "Two Matrix Factor Approximant Optimization via A Flexibility Function to pFp Type Generalized Hypergeometric Functions", Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2005), 16-20 September 2005, Rhodes, Greece, pp. 707-710, 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), 16-20 September 2005, Rhodes, Greece, pp. 711-714, 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), 16-20 September 2005, Rhodes, Greece, pp. 715-718, 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 Time-Variant Weight Functions", Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2005), 16-20 September 2005, Rhodes, Greece, pp. 719-722, 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), 16-20 September 2005, Rhodes, Greece, pp. 723-726, 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), 16-20 September 2005, Rhodes, Greece, pp. 727-730, 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), 16-20 September 2005, Rhodes, Greece, pp. 731-734, 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), 16-20 September 2005, Rhodes, Greece, pp. 735-738, 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), 16-20 September 2005, Rhodes, Greece, pp. 739-742, 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), 16-20 September 2005, Rhodes, Greece, pp. 743-746, 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), 21-26 October 2005, Corinth, Loutraki, Greece 4A, Redderbrick BV, pp. 56-59, 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), 21-26 October 2005, Corinth, Loutraki, Greece 4A, Redderbrick BV, pp. 146-149, 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), 21-26 October 2005, Corinth, Loutraki, Greece 4A, Redderbrick BV, pp. 406-409, 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), 16-18 December 2005, Tenerife, Canary Islands, Spain, pp. 68-73, 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), 16-18 April 2006, Hangzhou, China, pp. 556-559, 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), 27-29 May 2006, İstanbul, Turkey, pp. 418-423, 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, 10-16 July 2006, Vouliagmeni Beach, Greece, pp. 174-178, 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), 15-19 September 2006, Hersonnisos, Crete, Greece, pp. 20-23, 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), 15-19 September 2006, Hersonnisos, Crete, Greece, pp. 36-39, 2006

54. Metin Demiralp, "Monotonously Increasing Multiplicativity Measurers in Factorized High Dimensional Model Representation", International Conference on Numerical Analysis and Applied Mathematics, (ICNAAM2006), 15-19 September 2006, Hersonnisos, Crete, Greece, pp. 109-112, 2006

55. Metin Demiralp, "Transformational High Dimensional Model Representation", International Conference on Computational Mathematics in Science and Engineering (ICCMSE 2006) 27 October-1 November 2006, Chania, Crete, Greece, pp. 128-131, 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 October-1 November 2006, Chania, Crete, Greece, pp. 180-183, 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), 22-24 March 2007, Dallas, USA, pp. 250-254, 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), 16-20 September 2007, Corfu, Greece, pp. 155-158, 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), 16-20 September 2007, Corfu, Greece, pp. 562-565, 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), 25-30 September 2007, Corfu, Greece, pp. 1183-1186, 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), 29-31 December 2007, Cairo, Egypt, pp. 43-47, 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), 29-31 December 2007, Cairo, Egypt, pp. 133--139, 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), 29-31 December 2007, Cairo, Egypt, pp. 146-151, 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), 29-31 December 2007, Cairo, Egypt, pp. 152-156, 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), 29-31 December 2007, Cairo, Egypt, pp. 157-161, 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, 29-31 May 2008, İSTANBUL, Türkiye, pp. 26-33, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 129-135, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 136-140, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 141-145, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 146-150, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 151-155, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 162-167, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 168-173, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 179-182, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 183-188, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 189-192, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 193-197, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 204-208, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 209-215, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 216-220, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 221-226, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 227-231, 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), 29-31 May 2008, İSTANBUL, Türkiye, pp. 232-236, 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), 15-20 September 2008, Kos, Greece, pp. 52-55, 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), 15-20 September 2008, Kos, Greece, pp. 87-91, 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), 15-20 September 2008, Kos, Greece, pp. 159-162, 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), 15-20 September 2008, Kos, Greece, pp. 231-234, 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), 15-20 September 2008, Kos, Greece, pp. 239-243, 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), 15-20 September 2008, Kos, Greece, pp. 561-565, 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), 15-20 September 2008, Kos, Greece, pp. 566-569, 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), 15-20 September 2008, Kos, Greece, pp. 601-604, 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, 25--30 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, 25--30 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, 25--30 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. 81-86, 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. 87-92, 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. 93-100, 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. 101-106, 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. 107-111, 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. 112-117, 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. 118-124, 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), 13-16 July 2009, Las Vegas, Nevada, USA., pp. 79-83, 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), 18-22 September 2009, Rethymno, Crete, Greece, pp. 420-423, 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), 18-22 September 2009, Rethymno, Crete, Greece, pp. 424-427, 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), 18-22 September 2009, Rethymno, Crete, Greece, pp. 428-431, 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), 18-22 September 2009, Rethymno, Crete, Greece, pp. 432-435, 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), 28-30 September 2009, Vouliagmeni, Greece, pp. 394-399, 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), 28-30 September 2009, Vouliagmeni, Greece, pp. 400-405, 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), 28-30 September 2009, Vouliagmeni, Greece, pp. 406-412, 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), 28-30 September 2009, Vouliagmeni, Greece, pp. 413-418, 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), 28-30 September 2009, Vouliagmeni, Greece, pp. 419-424, 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), 28-30 September 2009, Vouliagmeni, Greece, pp. 657-662, 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 September-4 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 September-4 October2009, Rhodes, Greece, in print, 2009

116. C. Gözükırmızı and M. Demiralp, "Self-consistent 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 September-4 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 September-4 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 September-4 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 September-4 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, 15-17 September, pp. 226-233, 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, 15-17 September, pp. 240-246, 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, 15-17 September, pp. 247-255, 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, 15-17 September, pp. 317-323, 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, 15-17 September, pp. 336-340, 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, 15-17 September, pp. 350-356, 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, 15-17 September, pp. 362-368, 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, 15-17 September, pp. 448-454, 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, 19-26 September 2010, Rhodes, Greece, ID: 112-1, 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, 19-26 September 2010, Rhodes, Greece, ID: 112-2, 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, 19-26 September 2010, Rhodes, Greece, ID: 112-3, 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, 19-26 September 2010, Rhodes, Greece, ID: 112-4, 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, 19-26 September 2010, Rhodes, Greece, ID: 112-5, 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, 19-26 September 2010, Rhodes, Greece, ID: 112-6, 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, 19-26 September 2010, Rhodes, Greece, ID: 112-7, 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, 19-26 September 2010, Rhodes, Greece, ID: 112-8, 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, 19-26 September 2010, Rhodes, Greece, ID: 112-9, 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), 3-8 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), 3-8 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), 3-8 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), 3-8 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), 3-8 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, 1-4 June 2011, Proc. Num: 700/47, pp. 1194-1199, 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, 1-4 June 2011, Proc. Num: 700/49, pp. 1206-1211, 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, 26-30 June 2011, in print, 2011

151. S. Tuna and M. Demiralp, "Effects of the Weight Function Choices on Single-Node Fluctuation Free Integration", Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE2011), Benidorm, Spain, 26-30 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, 19-25 September 2011, 1389, pp. 1143-1146, 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, 19-25 September 2011, 1389, pp. 1147-1151, 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, 19-25 September 2011, 1389, pp. 1152-1155, 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, 19-25 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, 19-25 September 2011, 1389, pp. 1138-1138, 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, 19-25 September 2011, 1389, pp. 1156-1159, 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, 19-25 September 2011, 1389, pp. 1168-1171, 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, 19-25 September 2011, 1389, pp. 1176-1179, 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, 19-25 September 2011 , 1389, pp. 1180-1183, 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, 19-25 September 2011 , 1389, pp. 1139-1142, 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, 19-25 September 2011, 1389, pp. 1187-1191, 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, 19-25 September 2011 , 1389, pp. 1192-1195, 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, 19-25 September 2011 , 1389, pp. 1196-1199, 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, 19-25 September 2011, 1389, pp. 1200-1203, 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, 26-28 September, pp. 113-118, 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, 26-28 September, pp. 107-112, 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, 26-28 September, pp. 52-57, 2011

169. Z. Gündoğar, N.A. Baykara and M. Demiralp, "Conic Transformational High Dimensional Model Representation in Comparison With Hermite-Pade Approximants", Proceedings of the 2nd International Conference on Applied Informatics and Computing Theory (AICT'11), IEEEAM, Prague, Czech Republic, 26-28 September, pp. 45-51, 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, 26-28 September, pp. 64-69, 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, 26-28 September, pp. 70-75, 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, 26-28 September, pp. 76-81, 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, 26-28 September, pp. 39-44, 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, 26-28 September, pp. 58-63, 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, 2-7 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, 2-7 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, 2-7 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, 2-7 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, 2-7 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, 13-15 June 2012, pp. 27-32, 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, 13-15 June 2012, pp. 33-38, 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, 13-15 June 2012, pp. 39-44, 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, 13-15 June 2012, pp. 45-50, 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, 13-15 June 2012, pp. 57-62, 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, 13-15 June 2012, pp. 63-68, 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, 2-6 July 2012, pp. 153-156, 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, 2-6 July 2012, pp. 688-698, 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, 2-6 July 2012, pp. 720-731, 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, 2-6 July 2012, pp. 1173-1185, 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, 2-6 July 2012, pp. 1186-1197, 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, 10-14 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, 14-17 July 2012 pp. 341-346, 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, 21-23 August 2012, pp. 182-186, 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, 21-23 August 2012,pp. 198-202, 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, 21-23 August 2012, pp. 203-207, 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, 21-23 August 2012, pp. 208-212, 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, 21-23 August 2012,pp. 219-223, 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, 21-23 August 2012,pp. 224-228, 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, 21-23 August 2012,pp. 229-234, 2012

200. Burcu Tunga, Metin Demiralp, "Close-Pack Approach to the Evaluation of Classical Two Particle Cluster Integral for Lennard-Jones 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, 21-23 August 2012, pp. 235-240, 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, 21-23 August 2012, pp. 241-245, 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, 21-23 August 2012,pp. 246-249, 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, 21-23 August 2012,pp. 250-255, 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, 21-23 August 2012,pp. 256-261, 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, 21-23 August 2012, pp. 262-267, 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, 21-23 August 2012,pp. 268-271, 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, 21-23 August 2012,pp. 272-277, 2012

208. Burcu Tunga, Metin Demiralp, "Probabilistic Evolutions in Classical Dynamics: Conicalization and Block Triangularization of Lennard-Jones Systems", International Conference of Numerical Analysis and Applied Mathematics, 15--20 September 2012, Kos Island, Greece, AIP Proceedings, 1479, pp. 1986-1989, 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, 15--20 September 2012, Kos Island, Greece, AIP Proceedings, 1479, pp. 1994-1997, 2012

210. Berfin Kalay, Metin Demiralp, "Fundamental Elements of Vector Enhanced Multivariance Product Representation", International Conference of Numerical Analysis and Applied Mathematics, 15--20 September 2012, Kos Island, Greece, , AIP Proceedings, 1479, pp. 1998-2001, 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, 15--20 September 2012, Kos Island, Greece, AIP Proceedings, 1479, pp. 2007-2010, 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), 2-4 April 2013, Kuala Lumpur, Malaysia, pp. 207-211, 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), 2-4 April 2013, Kuala Lumpur, Malaysia, pp. 195-200, 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), 2-4 April 2013, Kuala Lumpur, Malaysia, pp. 201-206, 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), 14-16 May 2013, Vouliagmeni, Greece, pp. 140-145, 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), 24-27 June 2013, Almeria, Spain, pp. 218-225

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), 24-27 June 2013, Almeria, Spain, pp. 265-272

218. Emre Demiralp, Luis Hernandez-Garcia, 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), 24-27 June 2013, Almeria, Spain, pp. 486-495

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), 24-27 June 2013, Almeria, Spain, pp. 496-503

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), 24-27 June 2013, Almeria, Spain, pp. 504-512

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), 16-19 July 2013, Rhodes, Greece, pp. 171-178, 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), 6-8 August 2013, Valencia, Spain, pp. 61-65, 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), 6-8 August 2013, Valencia, Spain, pp. 66-69, 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), 6-8 August 2013, Valencia, Spain, pp. 70-75, 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), 6-8 August 2013, Valencia, Spain, pp. 76-80, 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), 6-8 August 2013, Valencia, Spain, pp. 81-86, 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), 6-8 August 2013, Valencia, Spain , pp. 87-90, 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), 6-8 August 2013, Valencia, Spain, pp. 91-95, 2013

229. Berfin Kalay, Metin Demiralp, "Constancy Added Space Extension for the Fluctuation Free Expectation Value Dynamics of Hydrogen-like Quantum Systems", The Proceedings of the WSEAS 13th International Conference on System Theory and Scientific Computation (ISTASC'13), 6-8 August 2013, Valencia, Spain, pp. 96-100, 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), 6-8 August 2013, Valencia, Spain, pp. 111-116, 2013

231. N. Abdülbaki Baykara, Metin Demiralp, "Transforming Spherically Symmetric Time-independent 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), 6-8 August 2013, Valencia, Spain, pp. 127-131, 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), 6-8 August 2013, Valencia, Spain, pp. 132-136, 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), 6-8 August 2013, Valencia, Spain, pp. 142-146, 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), 8-10 October 2013, Antalya, Turkey, pp. 23-28, 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), 8-10 October 2013, Antalya, Turkey , pp. 120-124, 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), 8-10 October 2013, Antalya, Turkey, pp. 146-150, 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), 8-10 October 2013, Antalya, Turkey, pp. 155-159, 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), 8-10 October 2013, Antalya, Turkey, pp. 166-170, 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), 8-10 October 2013, Antalya, Turkey, pp. 187-191, 2013

240. Muzaffer Ayvaz, Metin Demiralp, "Multivariate Hausdorff Moment Problem Arising FromQuantum Mechanical Applications of Probabilistic Evolution Approach", The Proceedings of the WSEAS 1st International Conference on Optimization Techniques in Engineering (OTENG'13), 8-10 October 2013, Antalya, Turkey, pp. 201-205, 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), 8-10 October 2013, Antalya, Turkey, pp. 222-227, 2013

 

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, 5-8 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 Varyasyonel-Pertürbasyon Şeması", (A. Aşkar ile birlikte), TÜBİTAK IV. Bilim Kongresi - Matematik Seksiyonu Bildirileri, Ankara, 5-8 Kasım 1973

4. "Elektrik Yüklü Parçacıkların Kuantum Mekaniğinde Pertürbasyon Serilerine Pade Yaklaşımı", (N. A. Baykara ile birlikte), TUMTMK İkinci Ulusal Mekanik Kongresi Bildirileri, 161-169, Trabzon, 17-21 Ağustos 1981

5. "Nonlineer Diferansiyel Denklemlerde Kuantum Mekaniksel Gösterilim'e Rasyonel Yaklaşımlar Yöntemi", (N. A. Baykara ile birlikte), TUMTMK İkinci Ulusal Mekanik Kongresi Bildirileri, 220-229, Trabzon, 17-21 Ağustos 1981

6. "Diffüzif Kinetik Olayların İncelenmesinde Kuantum Mekaniksel Gösterilim Yöntemi", (N. A. Baykara ile birlikte), TUMTMK İkinci Ulusal Mekanik Kongresi Bildirileri, 230-236, Trabzon, 17 - 21 Ağustos 1981

7. "Özdeğer Problemlerinde Varyasyonel Uzay Daraltma Yöntemi", (N. A. Baykara ile birlikte), TUMTMK Üçüncü Ulusal Mekanik Kongresi Bildirileri, 266-275, Kirazlıyayla - Bursa, 5-9 Eylül 1983

8. "Özdeğer Problemlerinde Uzay Daraltma ile Hızlandırılmış Karakteristik Fonksiyon Yöntemi", TUMTMK Üçüncü Ulusal Mekanik Kongresi Bildirileri , 276-283, Kirazlıyayla - Bursa, 5-9 Eylül 1983

9. "Özdeğer Problemlerinde Beklenen Değerce Ölçeklenmeli Uzay Daraltma Yöntemi", Sayısal Analiz Sempozyumu Bildirileri, 72-83, ODTÜ, Ankara, 23-25 Aralık 1983

10. "Çok Yüksek Duyarlıklı ve Hata Sınırlamalı Sayısal Hesaplama Alt Programları", Sayısal Analiz Sempozyumu Bildirileri, 72-83, ODTÜ, Ankara, 23-25 Aralık 1983

11. "Pade Approximants and Their Applications in Applied Mathematics", Lecture Talk, İkinci Sayısal Analiz Sempozyumu Bildirileri, 1-11, ODTÜ, Ankara, 11-15 Şubat 1985

12. "Eigenvalue Problems of Linear Operators", Lecture Talk, İkinci Sayısal Analiz Sempozyumu Bildirileri, 32-47, ODTÜ, Ankara, 11-15 Şubat 1985

13. "An Algebraic Approach to the Eigenvalue Problems of Certain Differential Operators", (Ş. B. Altan ile birlikte), İkinci Sayısal Analiz Sempozyumu Bildirileri, 84-93, ODTÜ, Ankara, 11-15 Şubat 1985

14. "Computational Difficulties of Evolution Operator Approach", (T. Ergenç ile birlikte), İkinci Sayısal Analiz Sempozyumu Bildirileri, 94-108, ODTÜ, Ankara, 11-15 Şubat 1985

15. "Evrim Operatörü Yaklaşımında Dinamik ve Spektral Katsayıların Hesaplanması", (T. Ergenç ile birlikte), Matematik Sempozyumu Bildirileri, 315-323, Atatürk Üniversitesi, Erzurum, 10-14 Eylül 1985

16. "Gök Mekaniğinde Evrim Operatörü Yaklaşımı", TUMTMK Dördüncü Ulusal Mekanik Kongresi Bildirileri, 295-306, Bayramoğlu - Kocaeli, 23-28 Eylül 1985

17. "Kuantum Mekaniksel Anharmonik Salınıcının Spektrumunun Belirlenmesinde Cebrik Bir Yöntem", (H. Taseli ile birlikte), TUMTMK Dördüncü Ulusal Mekanik Kongresi Bildirileri, 307-315, Bayramoğlu - Kocaeli, 23-28 Eylül 1985

18. "Kimyasal Fiziğin Özdeğer Problemlerinde Yeni Cebrik Yöntemler", Kimyasal Fizik Sempozyumu Bildirileri, 7-10, Boğaziçi Üniversitesi, İstanbul, 1-2 Mayıs 1986

19. "Özdeğer Problemlerinde Karakteristik Oranlar Yöntemi", (Ş. B. Altan ile birlikte), Kimyasal Fizik Sempozyumu Bildirileri, 11-14, Boğaziçi Üniversitesi, İstanbul, l-2 Mayıs 1986

20. "Uzay Daraltma Yöntemi ile Perdelenmiş Coulomb Potansiyelli Sistemlerin Özdeğerlerinin Belirlenmesi", (N. A. Baykara ile birlikte), Kimyasal Fizik Sempozyumu Bildirileri, 15-19, Boğaziçi Üniversitesi, İstanbul, 1-2 Mayıs 1986

21. "Perdelenmiş Coulomb Potansiyelli Sistemlerde Yakınsak Bir Pertürbasyon Teorisi", (H. Taşeli ile birlikte), Kimyasal Fizik Sempozyumu Bildirileri, 20-23, Boğaziçi Üniversitesi, İstanbul, 1-2 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, 141-152, METU, Ankara, 1987

23. "A Two-Dimensional Space Pruning Method for Regular Boundary Value Problems", (A. Pamir ile birlikte), Proceedings of the International Symposium on Numerical Analysis, 273-286, METU, Ankara, 1987

24. "Klasik Mekanikte Evrim Operatörü Yöntemiyle Hızlı Yakınsak Yörünge Hesaplamaları", TUMTMK Beşinci Ulusal Mekanik Kongresi Bildirileri, 80-102, Kirazlıyayla - Bursa, 7-11 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, 376-388, Kirazlıyayla - Bursa, 7-11 Eylül 1987

26. "Nonlinear Diferansiyel Denklemlerin Evrim Operatörü Aracılığı ile Sayısal Olarak Çözülmesi", (T. Ergenç ile birlikte), TUMTMK Beşinci Ulusal Mekanik Kongresi Bildirileri, 480-490, Kirazlıyayla - Bursa, 7-11 Eylül 1987

27. "Dönel Simetrik Cisim Halinde Stokes Denklemlerinin Kesin Çözümü İçin Bir Yöntem", (H. Taşeli ile birlikte), TUMTMK Beşinci Ulusal Mekanik Kongresi Bildirileri, 480-490, Kirazlıyayla - Bursa, 7-11 Eylül 1987

28. "Ksi-Yaklaştıranları ile Doğrusal Olmayan Evrim Olayının İncelenmesi", İkinci Diferansiyel Denklemler Sempozyumu, 47-57, Boğaziçi Üniversitesi, İstanbul, 10-11 Ekim 1988

29. "Sürekli Spektrum Eşiğine Dayalı Özdeğerlerin Duyarlıklı Olarak Belirlenmesi", (N. A. Baykara ile birlikte), TUMTMK Altıncı Ulusal Mekanik Kongresi Bildirileri, 192-202, Kirazlıyayla - Bursa, 11-15 Eylül 1989

30. "Sonlu Aralıktaki Anharmonik Salınıcının Spektrumunun Belirlenmesinde Pertürbatif Bir Yöntem", (S. Çakmak ile birlikte), TUMTMK Altıncı Ulusal Mekanik Kongresi Bildirileri, 249-254, Kirazlıyayla - Bursa, 11-15 Eylül 1989

31. "Özdeğer Problemlerinde Simetrik Wronskian Yaklaşımı", TUMTMK Altıncı Ulusal Mekanik Kongresi Bildirileri, 192-202, Kirazlıyayla - Bursa, 11-15 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, 576-581, Kirazlıyayla - Bursa, 11-15 Eylül 1989

33. "An Evolution Operator Approach for the Numerical Solution of Linear ODE Systems: Skew-Symmetric Case", (T. Ergenç ile birlikte), J. Fac. Sci. KTÜ, 9, p. 159-169, 1989

34. "Perdelenmiş Columb Potansiyelli Sistemlerde Ayrık Özdeğerlerin Belirlenmesi İçin Bir Çakıştırma Yöntemi", (K. Oruçoğlu ile birlikte), II. Ulusal Matematik Sempozyumu Bildirileri, 139-147, Ege Üniversitesi - İzmir, 25-28 Eylül 1989

35. "Tekil Operatörlerin Ayrık Spektrumunun Belirlenmesinde Büzülme Dönüşümlü Bir Yöntem", (N. A. Baykara ile birlikte), II. Ulusal Matematik Sempozyumu Bildirileri, 414-423, Ege Üniversitesi - İzmir, 25-28 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, 247-256, Ürgüp, 1995

40. "Yukawa Potansiyelli Kuvantum Sistemlerin Kritik Değer Belirlemelerinde Genişletilmiş Jacobi Denklemi Yöntemi", 9. Ulusal Mekanik Kongresi Bildirileri, 257-264, Ürgüp, 1995

41. "Anharmonik Salınıcının Optimal Denetiminde Tıkızlaştırılmış Dalgalanma Denklemleri", (Ö. Erenoğlu ile birlikte), 9. Ulusal Mekanik Kongresi Bildirileri, 285-294, Ürgüp, 1995

42. "Tekil Hamiltonyenli Sistemlerin Kuvantum Dinamiğinde Tıkızlaştırılmış Dalgalanma Denklemleri", (R. Ergün ile birlikte), 9. Ulusal Mekanik Kongresi Bildirileri, 295-304, 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, 645-653, 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, 10-11 Mart 2005, Harp Akademileri Komutanlığı, Yenilevent, İstanbul, 117-122, 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, 11-Part 1, Chapter 2, pp. 15-29, 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, 11-Part 1, Chapter 9, pp. 101-112, 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 self-confidence in the İTU administration. Beyond 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.

 

[ 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 ]