PLANE WAVES NUMERICAL STABILITY OF SOME EXPLICIT EXPONENTIAL METHODS FOR CUBIC SCHRODINGER EQUATION

作     者：Begona Cano Adolfo Gonzalez-Pachon 

作者机构：Departamento de Matemdtica Aplicada Universidad de Valladolid IMUVA Paseo de Beldn 7 47011 VaUadolid Spain Departamento de Matemdtica Aplicada Universidad de Valladolid IMUVA Paseo de Beldn 7 47011 Valladolid Spain 

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

年 卷 期：2016年第34卷第4期

页      面：385-406页

核心收录：

学科分类：07[理学] 0809[工学-电子科学与技术（可授工学、理学学位）] 070205[理学-凝聚态物理] 08[工学] 0714[理学-统计学（可授理学、经济学学位）] 070102[理学-计算数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：supported by project MTM 

主　　题：Numerical stability Exponential splitting Lawson methods Projection ontoinvariant quantities Plane waves SchrSdinger equation. 

摘      要：Numerical stability when integrating plane waves of cubic SchrSdinger equation is thor- oughly analysed for some explicit exponential methods. We center on the following second- order methods： Strang splitting and Lawson method based on a one-parameter family of 2-stage 2nd-order explicit Runge-Kutta methods. Regions of stability are plotted and numerical results are shown which corroborate the theoretical results. Besides, a tech- nique is suggested to avoid the possible numerical instabilities which do not correspond to continuous ones.