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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. (English) Zbl 1247.65096
Summary: 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.
MSC:
65L06Multistep, Runge-Kutta, and extrapolation methods
34L40Particular ordinary differential operators