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arXiv · 0811.2469

A Family of Runge-Kutta Methods with Zero Phase-Lag and Derivatives for the Numerical Solution of the Schrödinger Equation and Related Problems

Z. A. Anastassi·D. S. Vlachos·T. E. Simos
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Abstract

We construct a family of two new optimized explicit Runge-Kutta methods with zero phase-lag and derivatives for the numerical solution of the time-independent radial Schrödinger equation and related ordinary differential equations with oscillating solutions. The numerical results show the superiority of the new technique of nullifying both the phase-lag and its derivatives.

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Z. A. Anastassi, D. S. Vlachos, T. E. Simos. 2008-11-15. A Family of Runge-Kutta Methods with Zero Phase-Lag and Derivatives for the Numerical Solution of the Schrödinger Equation and Related Problems. https://arxiv.org/abs/0811.2469

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