Numerical study of time-splitting and space-time adaptive wavelet scheme for Schrödinger equations

Authors:
R. Zhang;K. Zhang;Y. S. Zhou
Affiliations:
Institute of Mathematics, Jilin University, Changchun, China;Institute of Mathematics, Jilin University, Changchun, China;Institute of Mathematics, Jilin University, Changchun, China
Venue:
Journal of Computational and Applied Mathematics - Special issue: The international symposium on computing and information (ISCI2004)
Year:
2006

Citing 2
Cited 0

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On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime

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Abstract

In this paper, we present a time-splitting and space-time adaptive wavelet scheme for solving Schrödinger equations with a small Planck constant. The scheme is stable and it can overcome high-frequency pseudo-oscillation of the solution. The concrete steps and numerical experiments are also given.