FINITE-DIFFERENCE MODELS ENTIRELY INHERITING CONTINUOUS SYMMETRY OF ORIGINAL DIFFERENTIAL-EQUATIONS

被引：65

作者：

DORODNITSYN, VA

机构：

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C-PHYSICS AND COMPUTERS | 1994年 / 5卷 / 04期

关键词：

TRANSFORMATION GROUP; SYMMETRY; INVARIANT DIFFERENCE SCHEME; INVARIANT DIFFERENCE GRID;

D O I：

10.1142/S0129183194000830

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The present paper is concerned with continuous groups of transformations in a space of discrete variables. The criterion of invariance of difference equations together with difference grid is discussed. One simple method to construct finite-difference equations and grids entirely inheriting admitted Lie groups of transformations of initial differential models is developed.

引用

页码：723 / 734

页数：12

共 12 条

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[2]

DORODNITSYN VA, 1993, DOKL AKAD NAUK+, V328, P678

[3]

DORODNITSYN VA, 1987, 67 KELD I APPL MATH, P1

[4]

DORODNITSYN VA, 1991, 121 KELD I APPL MATH, P1

[5]

DORODNITSYN VA, 1993, FINITE DIFFERENCE AP, P1

[6]

DORODNITSYN VA, 1993, CRC HDB LIE GROUP AN, V1, P365

[7]

DORODNITSYN VA, 1991, J SOVIET MATH, V55, P1490

[8]

Ibragimov N. Kh., 1985, TRANSFORMATION GROUP

[9] THE SIMILARITY METHOD FOR DIFFERENCE-EQUATIONS [J].

MAEDA, S .

IMA JOURNAL OF APPLIED MATHEMATICS, 1987, 38 (02) :129-134

[10]

OLVER PJ, 1986, APPLICATION LIE GROU

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