所属单位：理学院
发表刊物：APPLIED MATHEMATICS AND COMPUTATION
关键字：Nonlinear Schrodinger equation Exponential wave integrator Pseudospectral method Error estimates
摘要：In this article, several exponential wave integrator Fourier pseudospectra methods are developed for solving the nonlinear Schrodinger equation in two dimensions. These numerical methods are based on the Fourier pseudospectral discretization for spatial derivative first and then utilizing four types of numerical integration formulas, including the Gautschi-type, trapezoidal, middle rectangle and Simpson rules, to approximate the time integral in phase space. The resulting numerical methods cover two explicit and an implicit schemes and can be implemented effectively thanks to the fast discrete Fourier transform. Additionally, the error estimates of two explicit schemes are established by virtue of the mathematical induction and standard energy method. Finally, extensive numerical results are reported to show the efficiency and accuracy of the proposed new methods and confirm our theoretical analysis. (C) 2018 Elsevier Inc. All rights reserved.
ISSN号：0096-3003
是否译文：否
发表时间：2019-02-15
合写作者：Ji, Bingquan
通讯作者：张鲁明
发表时间：2019-02-15