Talks and Poster Presentations (without Proceedings-Entry):
W. Auzinger, H. Lehner, E. Weinmüller:
"Quadrature-defect-based a-posteriori error estimates for differential-algebraic equations";
Talk: 4th Austrian Numerical Analysis Day,
Linz;
2008-04-24
- 2008-04-25.
English abstract:
A computationally efficient a-posteriori error estimator for collocation solutions to linear index-1 DAEs with properly stated leading term is introduced and analyzed. The procedure is based on a modified defect correction principle, extending an established technique from the ODE context to the DAE case. We prove that the resulting error estimate is asymptotically correct and illustrate the method by means of a numerical example.
Keywords:
Defect correction, error estimation, differential-algebraic equations
Electronic version of the publication:
http://publik.tuwien.ac.at/files/pub-tm_6558.pdf
Created from the Publication Database of the Vienna University of Technology.