Numerical treatment of retarded differential–algebraic equations by collocation methods

被引：0
|
作者：
R. Hauber
机构：
[1] Mathematisches Institut der Universität München,
来源：
Advances in Computational Mathematics | 1997年 / 7卷
关键词：
differential–algebraic equations; delay differential equations; state-dependent lag; collocation methods; 65L05; 65Q05; 34K05;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：573 / 592
页数：19
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