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1

Numerical solution of the two-dimensional time independent Schrödinger equation with Numerov-type methods

Z. Kalogiratou, Th. Monovasilis, T.E. Simos

Journal:

Journal of Mathematical Chemistry

Year:

2005

Language:

english

File:

PDF, 76 KB

english, 2005

2

A Symplectic Trigonometrically Fitted Modified Partitioned Runge-Kutta Method for the Numerical Integration of Orbital Problems

Z. Kalogiratou, Th. Monovasilis, T. E. Simos

Journal:

Applied Numerical Analysis & Computational Mathematics

Year:

2005

Language:

english

File:

PDF, 85 KB

english, 2005

3

Numerical Solution of the two-dimensional time independent Schrödinger Equation by symplectic schemes

Th. Monovasilis, Z. Kalogiratou, T. E. Simos

Journal:

Applied Numerical Analysis & Computational Mathematics

Year:

2004

Language:

english

File:

PDF, 146 KB

english, 2004

4

A fourth order modified trigonometrically fitted symplectic Runge–Kutta–Nyström method

Kalogiratou, Z., Monovasilis, Th., Simos, T.E.

Journal:

Computer Physics Communications

Year:

2014

Language:

english

File:

PDF, 503 KB

english, 2014

5

An optimized two-step hybrid block method for solving general second order initial-value problems

Ramos, Higinio, Kalogiratou, Z., Monovasilis, Th., Simos, T. E.

Journal:

Numerical Algorithms

Year:

2016

Language:

english

File:

PDF, 295 KB

english, 2016

6

AIP Conference Proceedings [Author(s) INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015) - Rhodes, Greece (22–28 September 2015)] - Numerical integration of Maxwell equations with symplectic integrators

Michalas, A., Kalogiratou, Z., Monovasilis, Th., Simos, T. E.

Year:

2016

Language:

english

File:

PDF, 69 KB

english, 2016

7

Numerical solution of the two-dimensional time independent Schrödinger equation by third order symplectic schemes

Th. Monovasilis, T.E. Simos

Journal:

Chemical Physics

Year:

2005

Language:

english

File:

PDF, 135 KB

english, 2005

8

A new approach on the construction of trigonometrically fitted two step hybrid methods

Kalogiratou, Z., Monovasilis, Th., Ramos, Higinio, Simos, T.E.

Journal:

Journal of Computational and Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 547 KB

english, 2016

9

AIP Conference Proceedings [AIP Publishing CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2019 (CEST) - Banska Bystrica, Slovakia (16–18 October 2019)] CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2019 (CEST) - Optimized two derivative Runge-Kutta methods for solving orbital and oscillatory problems

Monovasilis, Th., Kalogiratou, Z., Simos, T. E.

Year:

2019

Language:

english

File:

PDF, 656 KB

english, 2019

10

[AIP COMPUTATIONAL METHODS IN SCIENCE AND ENGINEERING: Theory and Computation: Old Problems and New Challenges. Lectures Presented at the International Conference on Computational Methods in Science and Engineering 2007 (ICCMSE 2007): VOLUME 1 - ()] AIP Conference Proceedings - An Exponentially Fitted 6(4) Pair of Explicit Runge-Kutta-Nyström Methods

Kalogiratou, Z., Monovasilis, Th., Simos, T. E., Simos, Theodore E., Maroulis, George

Year:

2007

File:

PDF, 403 KB

2007

11

Trigonometrically and Exponentially fitted Symplectic Methods of third order for the Numerical Integration of the Schrödinger Equation

Th. Monovasilis, Z. Kalogiratou, T. E. Simos

Journal:

Applied Numerical Analysis & Computational Mathematics

Year:

2005

Language:

english

File:

PDF, 100 KB

english, 2005

12

A family of trigonometrically fitted partitioned Runge–Kutta symplectic methods

Th. Monovasilis, Z. Kalogiratou, T.E. Simos

Journal:

Applied Mathematics and Computation

Year:

2009

Language:

english

File:

PDF, 155 KB

english, 2009

13

New modified Runge–Kutta–Nyström methods for the numerical integration of the Schrödinger equation

Z. Kalogiratou, Th. Monovasilis, T.E. Simos

Journal:

Computers & Mathematics with Applications

Year:

2010

Language:

english

File:

PDF, 276 KB

english, 2010

14

Families of third and fourth algebraic order trigonometrically fitted symplectic methods for the numerical integration of Hamiltonian systems

Th. Monovasilis, Z. Kalogiratou, T.E. Simos

Journal:

Computer Physics Communications

Year:

2007

Language:

english

File:

PDF, 129 KB

english, 2007

15

Symplectic and trigonometrically fitted symplectic methods of second and third order

Th. Monovasilis, T.E. Simos

Journal:

Physics Letters A

Year:

2006

Language:

english

File:

PDF, 113 KB

english, 2006

16

Symplectic integrators for the numerical solution of the Schrödinger equation

Z. Kalogiratou, Th. Monovasilis, T.E. Simos

Journal:

Journal of Computational and Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 135 KB

english, 2003

17

Computation of the eigenvalues of the one-dimensional Schrödinger equation by symplectic methods

Z. Kalogiratou, Th. Monovasilis, T. E. Simos

Journal:

International Journal of Quantum Chemistry

Year:

2006

Language:

english

File:

PDF, 103 KB

english, 2006

18

Exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation

Th. Monovasilis, Z. Kalogiratou, T.E. Simos

Journal:

Journal of Mathematical Chemistry

Year:

2005

Language:

english

File:

PDF, 106 KB

english, 2005

19

New Second-order Exponentially and Trigonometrically Fitted Symplectic Integrators for the Numerical Solution of the Time-independent Schrödinger Equation

Th. Monovasilis, T. E. Simos

Journal:

Journal of Mathematical Chemistry

Year:

2007

Language:

english

File:

PDF, 107 KB

english, 2007

20

Trigonometrically fitted and exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation

Th. Monovasilis, Z. Kalogiratou, Th. Monovasilis, T. E. Simos

Journal:

Journal of Mathematical Chemistry

Year:

2006

Language:

english

File:

PDF, 124 KB

english, 2006

21

Computation of the eigenvalues of the Schrödinger equation by exponentially-fitted Runge–Kutta–Nyström methods

Z. Kalogiratou, Th. Monovasilis, T.E. Simos

Journal:

Computer Physics Communications

Year:

2009

Language:

english

File:

PDF, 190 KB

english, 2009

22

Symplectic Partitioned Runge–Kutta methods with minimal phase-lag

Th. Monovasilis, Z. Kalogiratou, T.E. Simos

Journal:

Computer Physics Communications

Year:

2010

Language:

english

File:

PDF, 133 KB

english, 2010

23

Computation of the eigenvalues of the Schrödinger equation by symplectic and trigonometrically fitted symplectic partitioned Runge–Kutta methods

Th. Monovasilis, Z. Kalogiratou, T.E. Simos

Journal:

Physics Letters A

Year:

2008

Language:

english

File:

PDF, 125 KB

english, 2008

24

Phase fitted symplectic partitioned Runge–Kutta methods for the numerical integration of the Schrödinger equation

Monovasilis, Th.

Journal:

Journal of Mathematical Chemistry

Year:

2012

Language:

english

File:

PDF, 142 KB

english, 2012

25

Symplectic partitioned Runge–Kutta methods with the phase-lag property

Th. Monovasilis

Journal:

Applied Mathematics and Computation

Year:

2012

Language:

english

File:

PDF, 893 KB

english, 2012

26

Symplectic methods for the numerical integration of the Schrödinger equation

Th. Monovasilis, T.E. Simos

Journal:

Computational Materials Science

Year:

2007

Language:

english

File:

PDF, 156 KB

english, 2007

27

Runge–Kutta type methods with special properties for the numerical integration of ordinary differential equations

Kalogiratou, Z., Monovasilis, Th., Psihoyios, G., Simos, T.E.

Journal:

Physics Reports

Year:

2014

Language:

english

File:

PDF, 1.89 MB

english, 2014

28

TWO NEW PHASE-FITTED SYMPLECTIC PARTITIONED RUNGE–KUTTA METHODS

MONOVASILIS, TH., KALOGIRATOU, Z., SIMOS, T. E.

Journal:

International Journal of Modern Physics C

Year:

2011

Language:

english

File:

PDF, 335 KB

english, 2011

29

[AIP Numerical Analysis and Applied Mathematics - Corfu, Greece (16-20 September 2007)] AIP Conference Proceedings - Computation of the Eigenvalues of the Schrödinger Equation by Exponentially-Fitted Runge-Kutta-Nyström Methods

Monovasilis, Th., Kalogiratou, Z., Simos, T. E., Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2007

Language:

english

File:

PDF, 214 KB

english, 2007

30

[AIP Numerical Analysis and Applied Mathematics - Corfu, Greece (16-20 September 2007)] AIP Conference Proceedings - A Fifth-order Symplectic Trigonometrically Fitted Partitioned Runge-Kutta Method

Kalogiratou, Z., Monovasilis, Th., Simos, T. E., Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2007

Language:

english

File:

PDF, 229 KB

english, 2007

31

AIP Conference Proceedings [AIP ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010 - Rhodes (Greece) (19–25 September 2009)] - Symplectic Runge-Kutta-Nyström Methods with Phase-Lag Order Six and Infinity

Kalogiratou, Z., Monovasilis, Th., Simos, T. E., Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2010

Language:

english

File:

PDF, 64 KB

english, 2010

32

AIP Conference Proceedings [AIP ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010 - Rhodes (Greece) (19–25 September 2009)] - Symplectic Partitioned Runge-Kutta Methods with Minimum Phase Lag—Case of 5 Stages

Monovasilis, Th., Kalogiratou, Z., Simos, T. E., Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2010

Language:

english

File:

PDF, 71 KB

english, 2010

33

AIP Conference Proceedings [AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics - Kos, Greece (19–25 September 2012)] - Exponentially fitted symplectic Runge-Kutta-Nyström methods

Monovasilis, Th., Kalogiratou, Z., Simos, T. E.

Year:

2012

Language:

english

File:

PDF, 114 KB

english, 2012

34

AIP Conference Proceedings [AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics - Kos, Greece (19–25 September 2012)] - Preface of the “Symposium on the numerical solution of differential equations and their applications”

Anastassi, Z., Kalogiratou, Z., Monovasilis, Th.

Year:

2012

Language:

english

File:

PDF, 91 KB

english, 2012

35

AIP Conference Proceedings [AIP Publishing LLC PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) - Rhodes, Greece (22–28 September 2014)] - Preface of the “Symposium on the numerical solution of differential equations and their applications”

Kalogiratou, Z., Monovasilis, Th.

Year:

2015

Language:

english

File:

PDF, 261 KB

english, 2015

36

AIP Conference Proceedings [AIP Publishing LLC PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) - Rhodes, Greece (22–28 September 2014)] - Trigonometrically fitted two step hybrid methods for the numerical solution of the Schrödinger equation

Kalogiratou, Z., Monovasilis, Th., Ramos, Higinio, Simos, T.E.

Year:

2015

Language:

english

File:

PDF, 125 KB

english, 2015

37

AIP Conference Proceedings [AIP Publishing LLC PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) - Rhodes, Greece (22–28 September 2014)] - A trigonometrically fitted optimized two-step hybrid block method for solving initial-value problems of the form y″ = f (x, y, y′) with oscillatory solutions

Ramos, Higinio, Kalogiratou, Z., Monovasilis, Th., Simos, T.E.

Year:

2015

Language:

english

File:

PDF, 125 KB

english, 2015

38

AIP Conference Proceedings [AIP Publishing LLC PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) - Rhodes, Greece (22–28 September 2014)] - A new approach on the construction of trigonometrically fitted two step hybrid methods

Monovasilis, Th., Kalogiratou, Z., Ramos, Higinio, Simos, T.E.

Year:

2015

Language:

english

File:

PDF, 117 KB

english, 2015

39

[AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2 - Rethymno, Crete (Greece) (18–22 September 2009)] AIP Conference Proceedings - A Phase-fitted Symplectic Partitioned Runge-Kutta Methods for the Numerical Solution of the Schrödinger Equation

Monovasilis, Th., Kalogiratou, Z., Simos, T. E., Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2009

Language:

english

File:

PDF, 791 KB

english, 2009

40

[AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2 - Rethymno, Crete (Greece) (18–22 September 2009)] AIP Conference Proceedings - Conditions for Trigonometrically Fitted Runge-Kutta Methods

Kalogiratou, Z., Monovasilis, Th., Simos, T. E., Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2009

Language:

english

File:

PDF, 336 KB

english, 2009

41

AIP Conference Proceedings [AIP Publishing LLC PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) - Rhodes, Greece (22–28 September 2014)] - An optimized two-step hybrid block method for solving general second order initial-value problems of the form y″ = f (x, y, y′)

Ramos, Higinio, Kalogiratou, Z., Monovasilis, Th., Simos, T.E.

Year:

2015

Language:

english

File:

PDF, 244 KB

english, 2015

42

AIP Conference Proceedings [AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics - Kos, Greece (19–25 September 2012)] - Diagonally implicit symplectic Runge-Kutta methods with special properties

Kalogiratou, Z., Monovasilis, Th., Simos, T. E.

Year:

2012

Language:

english

File:

PDF, 119 KB

english, 2012

43

Employee's Motivation and Satisfaction in Light of Economic Recession: Evidence of Grevena Prefecture-Greece

Chatzopoulou, M., Vlachvei, A., Monovasilis, Th.

Journal:

Procedia Economics and Finance

Year:

2015

Language:

english

File:

PDF, 444 KB

english, 2015

44

AIP Conference Proceedings [Author(s) INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2016 (ICCMSE 2016) - Athens, Greece (17–20 March 2016)] - A modified seventh order two step hybrid method for the numerical integration of oscillatory problems

Kalogiratou, Z., Monovasilis, Th., Simos, T. E.

Year:

2016

Language:

english

File:

PDF, 81 KB

english, 2016

45

AIP Conference Proceedings [Author(s) INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2016 (ICCMSE 2016) - Athens, Greece (17–20 March 2016)] - Trigonometrical fitting conditions for two derivative Runge Kutta methods

Monovasilis, Th., Kalogiratou, Z., Simos, T. E.

Year:

2016

Language:

english

File:

PDF, 75 KB

english, 2016

46

AIP Conference Proceedings [AIP 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013 - Rhodes, Greece (21–27 September 2013)] - Exponentially fitted symplectic Runge-Kutta-Nyström methods derived by partitioned Runge-Kutta methods

Monovasilis, Th., Kalogiratou, Z., Simos, T. E.

Year:

2013

Language:

english

File:

PDF, 229 KB

english, 2013

47

AIP Conference Proceedings [AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics - Halkidiki, (Greece) (19–25 September 2011)] - A Diagonally Implicit Symplectic Runge-Kutta Method with Minimum Phase-lag

Kalogiratou, Z., Monovasilis, Th., Simos, T. E., Simos, Theodore E., Psihoyios, George, Tsitouras, Ch., Anastassi, Zacharias

Year:

2011

Language:

english

File:

PDF, 161 KB

english, 2011

48

AIP Conference Proceedings [Author(s) INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015) - Rhodes, Greece (22–28 September 2015)] - Two step hybrid methods of 7th and 8th order for the numerical integration of second order IVPs

Kalogiratou, Z., Monovasilis, Th., Simos, T. E.

Year:

2016

Language:

english

File:

PDF, 84 KB

english, 2016

49

AIP Conference Proceedings [Author(s) INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016) - Rhodes, Greece (19–25 September 2016)] - Trigonometrically fitted two derivative Runge Kutta methods with three stages

Monovasilis, Th., Kalogiratou, Z., Simos, T. E.

Year:

2017

Language:

english

File:

PDF, 72 KB

english, 2017

50

AIP Conference Proceedings [AIP 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013 - Rhodes, Greece (21–27 September 2013)] - A fourth order modified trigonometrically fitted symplectic Runge-Kutta-Nyström method

Kalogiratou, Z., Monovasilis, Th., Simos, T. E.

Year:

2013

Language:

english

File:

PDF, 802 KB

english, 2013