APPROXIMATION METHODS FOR THE CONSISTENT INITIALIZATION OF DIFFERENTIAL-ALGEBRAIC EQUATIONS

被引：56

作者：

LEIMKUHLER, B

PETZOLD, LR

GEAR, CW

机构：

[1] UNIV ILLINOIS,DEPT COMP SCI,URBANA,IL 61801

[2] UNIV CALIF LAWRENCE LIVERMORE NATL LAB,DIV COMP & MATH RES,LIVERMORE,CA 94550

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1991年 / 28卷 / 01期

关键词：

DIFFERENTIAL-ALGEBRAIC EQUATIONS; CONSISTENT INITIAL VALUES; NUMERICAL METHODS;

D O I：

10.1137/0728011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The algebraic constraints in a system of differential-algebraic equations (DAEs) impose a consistency requirement on the initial values that can be difficult to satisfy. In this paper the consistency requirement is characterized by a system of equations. An approximation method is introduced for these equations, and the numerical solution of the resulting system is analyzed for certain important classes of DAEs. Finally, a numerical experiment is described.

引用

页码：205 / 226

页数：22

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