STABILITY ANALYSIS AND APPLICATION OF THE EXPONENTIAL TIME DIFFERENCING SCHEMES

作     者：QiangDu Wen-xiangZhu 

作者机构：DepartmentofMathematicsPennsylvaniaStateUniversityUniversityParkPA16802USA 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2004年第22卷第2期

页      面：200-209页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：国家973计划 国家自然科学基金 国家自然科学基金 

主　　题：Allen-Cahn equations Energy estimates Exponential time differencing Fourier analysis Fourier spectral methods Maximum principle Phase transitions Stability Time integration schemes 

摘      要：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.