时间分裂空间小波自适应方法在薛定谔方程中的应用

Abstract

Abstract: The paper presents a time-splitting and wavelet based space-time adaptive method for numerical solution of Schrodinger equat ions (the Planck constant ε is small). The multiresolution structure of wavelet orthonormal bases provides an adaptive way to the local regularity of the solution. In order to gain the stability and precision of the numerical scheme, we introduce an approximate sheme that adapt the time steps to the spatial resolution. Furthermore, numerical tests are presented.

Key words: Schrodinger equation, splitting method, wavele

CLC Number:

O241

ZHANG Ran, ZHANG Kai. Application of time-splitting and wavelet based space-time adaptive method to solving Schrodinger equations[J].J4, 2004, 42(02): 176-178.

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Application of time-splitting and wavelet based space-time adaptive method to solving Schrodinger equations

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