ON A CLASS OF ENCLOSURE METHODS FOR INITIAL-VALUE PROBLEMS

被引：12

作者：

RIHM, R

机构：

[1] Institut für Angewandte Mathematik, Universität Karlsruhe, Karlsruhe

来源：

COMPUTING | 1994年 / 53卷 / 3-4期

关键词：

INTERVAL METHODS; ENCLOSURE METHODS; ORDINARY DIFFERENTIAL EQUATIONS; INITIAL VALUE PROBLEMS; TAYLOR SERIES;

D O I：

10.1007/BF02307387

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper deals with the computation of interval enclosures for the solutions of initial value problems in systems of ordinary differential equations. We present a particular class of enclosure methods based on the Taylor series method. They are expressed in a single algorithm containing some parameters which may be chosen arbitrarily. However, a skillful choice is necessary in order to keep the widths of the enclosing intervals sufficiently small. We give some theoretical results about the behaviour of these widths.

引用

页码：369 / 377

页数：9

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