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Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag

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  • T. E. Simos

Abstract

We use a methodology of optimization of the efficiency of a hybrid two-step method for the numerical solution of the radial Schrödinger equation and related problems with periodic or oscillating solutions. More specifically, we study how the vanishing of the phase-lag and its derivatives optimizes the efficiency of the hybrid two-step method.

Suggested Citation

  • T. E. Simos, 2012. "Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, April.
    • Handle: RePEc:hin:jnljam:420387
    DOI: 10.1155/2012/420387
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    Cited by:

    1. Tsitouras, Ch. & Famelis, I.Th., 2018. "Bounds for variable degree rational L∞ approximations to the matrix exponential," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 376-386.
    2. Tsitouras, Ch., 2019. "Explicit Runge–Kutta methods for starting integration of Lane–Emden problem," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 353-364.

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