MULTIGRID AND ADAPTIVE ALGORITHM FOR SOLVING THE NONLINEAR SCHRODINGER-EQUATION

被引：20

作者：

CHANG, QS

WANG, GB

机构：

[1] Institute of Applied Mathematics, Academia Sinica, Beijing

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1990年 / 88卷 / 02期

关键词：

D O I：

10.1016/0021-9991(90)90184-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, a conservative difference scheme for generalized nonlinear Schrödinger equations is given. We apply multigrid method and adaptive algorithm to solve the equations. Numerical results are presented and compared. They demonstrate that the multigrid and adaptive algorithm are efficient and can considerably relax the restrict on step size of time, which is caused by nonlinear iteration. © 1990.

引用

页码：362 / 380

页数：19

共 8 条

[1]

BRANDT A, 1977, MATH COMPUT, V31, P333, DOI 10.1090/S0025-5718-1977-0431719-X

[2]

Brandt A, 1984, MULTIGRID TECHNIQUES

[3]

CHANG Q, 1983, SCI SINICA A, V16, P687

[4]

CHANG QS, 1986, J COMPUT MATH, V4, P191

[5]

Hackbusch W., 1985, SPRINGER SERIES COMP, V4

[6]

MANIKOFF A, 1972, COMMUN PURE APPL MAT, V25, P407

[7] ON KORTEWEG-DE VRIES EQUATION - EXISTENCE AND UNIQUENESS [J].

SJOBERG, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1970, 29 (03) :569-&

[8]

TANA TR, 1984, J COMPUT PHYS, V55, P203

← 1 →