Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641064 | Journal of Computational and Applied Mathematics | 2009 | 14 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Stephen L. Campbell, Peter Kunkel,