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An Embedded 5(4) Pair Of Modified Explicit Runge–Kutta Methods For The Numerical Solution Of The Schrödinger Equation

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  • HANS VAN DE VYVER

    (Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B-3001 Heverlee, Belgium)

Abstract

A new way for constructing efficient embedded modified Runge–Kutta methods for the numerical solution of the Schrödinger equation is presented in this paper. The methods of the embedded scheme have algebraic orders five and four. Applications of the new pair to the elastic scattering phase-shift problem and coupled differential equations of Schrödinger type indicate that the new pair is much more efficient than other well known comparable embedded Runge–Kutta pairs.

Suggested Citation

  • Hans Van De Vyver, 2005. "An Embedded 5(4) Pair Of Modified Explicit Runge–Kutta Methods For The Numerical Solution Of The Schrödinger Equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(06), pages 879-894.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:06:n:s0129183105007625
    DOI: 10.1142/S0129183105007625
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    1. -, 2000. "Introdução à técnica de planejamento," Copublicaciones, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL), number 1617, November.
    2. van Damme, E.E.C., 2000. "Eerlijk delen," Other publications TiSEM b25da10f-89fc-48b6-866a-d, Tilburg University, School of Economics and Management.
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