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

Authors:
Stephen L. Campbell;Peter Kunkel
Affiliations:
Department of Mathematics, Box 8205, North Carolina State University, Raleigh, NC 27695-8205, USA;Mathematisches Institut, Universität Leipzig, Johannisgasse 26, 04009 Leipzig, Germany
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 3
Cited 1

Constraint preserving integrators for general nonlinear higher index DAEs

Numerische Mathematik
Solvability of general differential algebraic equations

SIAM Journal on Scientific Computing
Unitary partitioning in general constraint preserving DAE integrators

Mathematical and Computer Modelling: An International Journal

A minimal norm corrected underdetermined Gauß-Newton procedure

Applied Numerical Mathematics

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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.