Journal of Mathematical Chemistry

, Volume 50, Issue 7, pp 1736–1746 | Cite as

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

Original Paper
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Abstract

In this work we consider explicit symplectic partitioned Runge–Kutta methods with five stages for problems with separable Hamiltonian. We construct three new methods, one with constant coefficients of eight phase-lag order and two phase-fitted methods.

Keywords

Partitioned Runge Kutta methods Symplectic methods Schrödinger equation Phase-lag Phase-fitted 
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© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of International TradeTechnological Educational Institution of Western Macedonia at KastoriaKastoriaGreece

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