Index determination and calculation of consistent initial values for DAEs

被引：14

作者：

Lamour, R ^{[1
]}

机构：

[1] Humboldt Univ, Inst Math, Berlin, Germany

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2005年 / 50卷 / 07期

关键词：

DAE; index determination; consistent initial values; generalized inverse; hidden constraint;

D O I：

10.1016/j.camwa.2005.08.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The definition of the index of DAEs with properly stated leading term is based on a matrix sequence with suitably chosen projectors. A possible way of determining of this matrix sequence is presented; it includes the calculation of suitable projectors using generalized inverses. With the help of the matrix sequence elements (matrices, projectors) we calculate consistent initial values for DAEs up to index 2 by describing the hidden constraint. Examples are given. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1125 / 1140

页数：16

共 11 条

[1]

Brenan KE, 1983, THESIS U CALIFORNIA

[2]

Hairer Ernst, 1989, LECT NOTES MATH, V1409

[3] Consistent initialization for nonlinear index-2 differential-algebraic equation: large sparse systems in MATLAB [J].