TWO NEW PHASE-FITTED SYMPLECTIC PARTITIONED RUNGE–KUTTA METHODS-Reference-Cited by-同舟云学术

TWO NEW PHASE-FITTED SYMPLECTIC PARTITIONED RUNGE–KUTTA METHODS

Published:2011-12 Issue:12 Volume:22 Page:1343-1355
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

MONOVASILIS TH.¹,KALOGIRATOU Z.²,SIMOS T. E.³⁴

Affiliation:

1. Department of International Trade, Technological Educational Institute of Western Macedonia at Kastoria, P. O. Box 30, GR-521 00, Kastoria, Greece

2. Department of Informatics and Computer Technology, Technological Educational Institute of Western Macedonia at Kastoria, P. O. Box 30, GR-521 00, Kastoria, Greece

3. Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia

4. Laboratory of Computational Sciences, Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, GR-22 100 Tripolis, Greece

Abstract

New symplectic Partitioned Runge–Kutta (SPRK) methods with phase-lag of order infinity are derived in this paper. Specifically two new symplectic methods are constructed with second and third algebraic order. The methods are tested on the numerical integration of Hamiltonian problems and on the estimation of the eigenvalues of the Schrödinger equation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183111016932

Reference13 articles.

1. A dispersive-fitted and dissipative-fitted explicit Runge–Kutta method for the numerical solution of orbital problems

2. Geometric Numerical Integration

3. Symplectic methods for the numerical integration of the Schrödinger equation

4. Symplectic Partitioned Runge–Kutta methods with minimal phase-lag

Cited by 43 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Algorithm for the development of families of numerical methods based on phase-lag Taylor series;Journal of Mathematical Chemistry;2019-11-21

2. New multiple stages multistep method with best possible phase properties for second order initial/boundary value problems;Journal of Mathematical Chemistry;2018-12-07

3. New four-stages symmetric six-step method with improved phase properties for second order problems with periodical and/or oscillating solutions;Journal of Mathematical Chemistry;2018-06-20

4. New three-stages symmetric six-step finite difference method with vanished phase-lag and its derivatives up to sixth derivative for second order initial and/or boundary value problems with periodical and/or oscillating solutions;Journal of Mathematical Chemistry;2018-03-02

5. A new three-stages six-step finite difference pair with optimal phase properties for second order initial and/or boundary value problems with periodical and/or oscillating solutions;Journal of Mathematical Chemistry;2018-01-04