Mixed symbolic-numerical computations with general DAEs - I: System properties

被引：4

作者：

Campbell, SL ^{[1
]}

Hollenbeck, R ^{[1
]}

Yeomans, K ^{[1
]}

Zhong, Y ^{[1
]}

机构：

[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

来源：

NUMERICAL ALGORITHMS | 1998年 / 19卷 / 1-4期

关键词：

differential-algebraic equations; DAE; numerical integration; implicit differential equation;

D O I：

10.1023/A:1019154423096

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Differential-algebraic equations (DAEs) arise in many ways in many types of problems. In this expository paper we discuss a variety of situations where we have found mixed symbolic-numerical calculations to be essential. The paper is designed to both familiarize the reader with several fundamental DAE ideas and to present some applications. The situations discussed include the analysis of DAEs, the solution of DAEs, and applications which include DAEs. Both successes and challenges will be presented.

引用

页码：73 / 83

页数：11

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