THE ROLE OF DIFFERENCE-EQUATIONS IN NUMERICAL-ANALYSIS

被引：6

作者：

MAZZIA, F ^{[1
]}

TRIGIANTE, D ^{[1
]}

机构：

[1] DIPARTIMENTO ENERGET,I-50134 FLORENCE,ITALY

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1994年 / 28卷 / 1-3期

关键词：

DIFFERENCE EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; INITIAL VALUE PROBLEMS; BOUNDARY VALUE PROBLEMS; STABILITY;

D O I：

10.1016/0898-1221(94)00109-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The central role of difference equations and, principally, the role of their stability properties in Numerical Analysis is discussed by analyzing the special problem of approximating the solutions of ordinary differential equations. We show how a deeper knowledge of the stability properties of difference equations may be useful in designing numerical methods.

引用

页码：209 / 217

页数：9

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