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

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CHAN, TF ;

LEE, D ;

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[2] STABILITY ANALYSIS OF DIFFERENCE-SCHEMES FOR VARIABLE-COEFFICIENT SCHRODINGER TYPE EQUATIONS [J].

CHAN, TF ;

SHEN, L .

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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