Contributions to Proceedings:
W. Auzinger, O. Koch, E. Weinmüller:
"Collocation Methods for Boundary Value Problems with an Essential Singularity";
in: "Lecture Notes in Computer Science vol. 2907",
Springer,
Berlin Heidelberg,
2004,
ISSN: 0302-9743,
347
- 354.
English abstract:
We investigate collocation methods for the efficient solution of singular boundary value problems with an essential singularity. We give numerical evidence that this approach indeed yields high order solutions. Moreover, we discuss the issue of a posteriori error estimation for the collocation solution. An estimate based on the defect correction principle, which has been successfully applied to problems with a singularity of the first kind, is less robust with respect to an essential singularity than a classical strategy based on mesh halving.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/978-3-540-24588-9_39
Online library catalogue of the TU Vienna:
http://aleph.ub.tuwien.ac.at/F?base=tuw01&func=find-c&ccl_term=AC04405570
Electronic version of the publication:
http://www.math.tuwien.ac.at/~winfried/papers/anumpp0303.pdf
Created from the Publication Database of the Vienna University of Technology.