Completions of nonlinear DAE flows based on index reduction techniques and their stabilization

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article

Campbell, Stephen L.¹  Kunkel, Peter² 

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

[2] Univ Leipzig, Math Inst, D-04009 Leipzig, Germany

关键词: Differential algebraic equations;    Numerical methods;    Stability;   

DOI  :  10.1016/j.cam.2009.08.111

来源: Elsevier

【 摘 要 】

Differential algebraic equations (DAEs) define a differential equation on a manifold. A number of ways have been developed to numerically solve some classes of DAES. Motivated by problems in control theory, numerical simulation, and the use of general purpose modeling environments, recent research has considered the embedding of the DAE solutions of a general DAE into the solutions of an ODE where the added dynamics have special properties. This paper both provides new results on the linear time-varying case and considers the important nonlinear case. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free