Robin Nittka, Manfred Sauter
Abstract:
Sobolev gradients and weighted Sobolev gradients have been used
for the solution of a variety of ordinary as well as partial
differential equations. In the article at hand
we apply this method to linear and non-linear ordinary
differential algebraic equations and construct suitable gradients
for such problems based on a new generic weighting scheme.
We explain how they can be put into practice.
In the last part, we discuss the performance of our publicly available
implementation on some differential algebraic equations and present
further applications.
Submitted March 4, 2008. Published March 20, 2008.
Math Subject Classifications: 65L80, 41A60, 34A09.
Key Words: Differential algebraic equations; weighted Sobolev gradients;
steepest descent; non-linear least squares;
consistent initial conditions.
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Robin Nittka University of Ulm Institute of Applied Analysis, D-89069 Ulm, Germany email: robin.nittka@uni-ulm.de | |
Manfred Sauter University of Ulm Institute of Applied Analysis, D-89069 Ulm, Germany email: manfred.sauter@uni-ulm.de |
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