AN UNCONDITIONALLY STABLE 3-LEVEL EXPLICIT DIFFERENCE SCHEME FOR THE SCHRODINGER-EQUATION WITH A VARIABLE-COEFFICIENT

被引：34

作者：

DAI, WH ^{[1
]}

机构：

[1] XIAMEN UNIV,DEPT MATH,FUJIAN,PEOPLES R CHINA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 01期

关键词：

SCHRODINGER EQUATION; FINITE-DIFFERENCE SCHEME; STABILITY; DISCRETE ENERGY METHOD;

D O I：

10.1137/0729011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A three-level explicit difference scheme for the Schrodinger equation with a variable coefficient is established. It is proved by the discrete energy method that the scheme is unconditionally stable.

引用

页码：174 / 181

页数：8

共 5 条

[1] STABLE EXPLICIT SCHEMES FOR EQUATIONS OF THE SCHRODINGER TYPE
CHAN, TF
LEE, D
SHEN, LJ
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1986, 23 (02) : 274 - 281
[2] STABILITY ANALYSIS OF DIFFERENCE-SCHEMES FOR VARIABLE-COEFFICIENT SCHRODINGER TYPE EQUATIONS
CHAN, TF
SHEN, L
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1987, 24 (02) : 336 - 349
[3] Dai Wei-zhong, 1989, Mathematica Numerica Sinica, V11, P1
[4] LEE M, 1961, NUMER MATH, V3, P398
[5] Richtmyer RD., 1967, DIFFERENCE METHODS I

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