Year: 2004
Author: Qiang Du, Wenxiang Zhu
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 2 : pp. 200–209
Abstract
Exponential time differencing schemes are time integration methods that can be efficiently combined with spatial spectral approximations to provide very high resolution to the smooth solutions of some linear and nonlinear partial differential equations. We study in this paper the stability properties of some exponential time differencing schemes. We also present their application to the numerical solution of the scalar Allen-Cahn equation in two and three dimensional spaces.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-10323
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 2 : pp. 200–209
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Time integration schemes Exponential time differencing Fourier spectral methods Stability Fourier analysis Energy estimates Maximum principle Allen-Cahn equations Phase transitions.