Numerical treatment of retarded differential-algebraic equations by collocation methods

被引：26

作者：

Hauber, R ^{[1
]}

机构：

[1] UNIV MUNICH,INST MATH,D-80333 MUNICH,GERMANY

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 1997年 / 7卷 / 04期

关键词：

differential-algebraic equations; delay differential equations; state-dependent lag; collocation methods;

D O I：

10.1023/A:1018919508111

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates retarded differential-algebraic equations of index zero to two with state-dependent delay. The theory needed to understand the numerical approach and analyze the numerical treatment by collocation methods is developed. Different strategies for tracking the jump discontinuities are considered and numerical examples are presented to support the convergence results.

引用

页码：573 / 592

页数：20