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

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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.

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  1. Department of International Trade, Technological Educational Institution of Western Macedonia at Kastoria, P.O. Box. 30, 52100, Kastoria, Greece

    Th. Monovasilis

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  1. Th. Monovasilis
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Correspondence to Th. Monovasilis.

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Monovasilis, T. Phase fitted symplectic partitioned Runge–Kutta methods for the numerical integration of the Schrödinger equation. J Math Chem 50, 1736–1746 (2012). https://doi.org/10.1007/s10910-012-0003-0

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