×

Sobolev gradients for differential algebraic equations. (English) Zbl 1165.65373

Summary: Sobolev gradients and weighted Sobolev gradients have been used for the solution of a variety of ordinary as well as partial differential equations. We apply this method to linear and nonlinear 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.

MSC:

65L80 Numerical methods for differential-algebraic equations
34A09 Implicit ordinary differential equations, differential-algebraic equations

Software:

COLNEW
PDF BibTeX XML Cite
Full Text: EuDML EMIS