A numerical scheme for the simulation of blow-up in the nonlinear Schrodinger equation

被引：9
|
作者：
Jiménez, S
Llorente, IM
Mancho, AM
Pérez-García, VM
Vázquez, L
机构：
[1] Univ Castilla La Mancha, Escuela Tecn Super Ingenieros Ind, Dept Matemat, E-13071 Ciudad Real, Spain
[2] Univ Alfonso X Sabio, Dept Matemat & Fis Aplicada, Madrid 28691, Spain
[3] Univ Complutense Madrid, Fac CC Fis, Dept Arquitectura Comp & Automat, E-28040 Madrid, Spain
[4] CSIC, INTA, Ctr Astrobiol, Madrid 28850, Spain
[5] Univ Complutense Madrid, Fac Informat, Dept Matemat Aplicada, E-28040 Madrid, Spain
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 134卷 / 2-3期
关键词：
finite difference schemes; blow-up; nonlinear Schrodinger equations; multigrid methods;
D O I：
10.1016/S0096-3003(01)00282-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a self-adaptive multigrid version of a conservative finite difference scheme useful for the study of collapse processes in nonlinear Schrodinger equations (NLSEs). As an example we study the character of the focusing singularity of the two-dimensional critical NLSE. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：271 / 291
页数：21
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