STEPSIZE CONTROL AND CONTINUITY CONSISTENCY FOR STATE-DEPENDENT DELAY-DIFFERENTIAL EQUATIONS

被引：13

作者：

WILLE, DR ^{[1
]}

BAKER, CTH ^{[1
]}

机构：

[1] UNIV MANCHESTER,DEPT MATH,MANCHESTER M13 9PL,LANCS,ENGLAND

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1994年 / 53卷 / 02期

关键词：

STATE-DEPENDENT DELAY-DIFFERENTIAL EQUATIONS; DERIVATIVE DISCONTINUITIES; VARIABLE-STEP LINEAR MULTISTEP METHODS; CONTINUITY CONSISTENCY;

D O I：

10.1016/0377-0427(94)90043-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Derivative discontinuities occur frequently in the solutions of delay-differential equations, even when the functions defining them are all C(infinity). Unless correctly treated, such discontinuities can undermine the continuity assumptions made by ODE software. In this paper we discuss some specific difficulties arising from this aspect in the treatment of state-dependent problems. A necessary property, continuity consistency, is introduced along with a class of methods for which it is satisfied.

引用

页码：163 / 170

页数：8

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