Regularization of index-1 differential-algebraic equations with rank-deficient constraints

被引：7

作者：

Moore, PK ^{[1
]}

Petzold, LR

Ren, Y

机构：

[1] Tulane Univ, Dept Math, New Orleans, LA 70118 USA

[2] Univ Minnesota, Dept Comp Sci, Minneapolis, MN 55455 USA

[3] Univ Minnesota, Army High Performance Comp Res Ctr, Minneapolis, MN 55455 USA

[4] Univ Bath, Sch Math Sci, Bath BA2 7AY, Avon, England

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1998年 / 35卷 / 05期

关键词：

differential-algebraic equations; regularization; singularity; rank-deficient;

D O I：

10.1016/S0898-1221(98)00004-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a regularization for semiexplicit index-1 differential-algebraic equations with rank-deficient or singular constraints. We consider those problems for which the solution is well defined through the singularity. We give convergence results for the regularization applied to linear DAEs, and present some numerical experiments which illustrate its effectiveness.

引用

页码：43 / 61

页数：19

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