Defect-based a Posteriori Error Estimation for Index 1 DAEs with a Singularity of the First Kind

Defect-based a Posteriori Error Estimation for Index 1 DAEs with a Singularity of the First Kind

We show how the QDeC estimator, an efficient and asymptotically correct a posteriori estimator for collocation solutions to ODEs can be extended to differential algebraic equations (DAEs), where a singularity of the first kind is admitted.

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Hauptverfasser: Auzinger, W, Lehner, H, Weinmuller, E
Format: Tagungsbericht
Sprache:eng
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Beschreibung
Zusammenfassung:We show how the QDeC estimator, an efficient and asymptotically correct a posteriori estimator for collocation solutions to ODEs can be extended to differential algebraic equations (DAEs), where a singularity of the first kind is admitted.
ISSN:0094-243X
DOI:10.1063/1.3241219