Publications in Scientific Journals:

W. Auzinger, O. Koch, D. Praetorius, E. Weinmüller:
"New A-Posteriori Error Estimates for Singular Boundary Value Problems";
Numerical Algorithms, 40 (2005), 1; 79 - 100.

English abstract:
In this paper, we discuss the asymptotic properties and efficiency of several a posteriori estimates for the global error of collocation methods. Proofs of the asymptotic correctness are given for regular problems and for problems with a singularity of the first kind. We were also strongly interested in finding out which of our error estimates can be applied for the efficient solution of boundary value problems in ordinary differential equations with an essential singularity. Particularly, we compare estimates based on the defect correction principle with a strategy based on mesh halving.

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

Online library catalogue of the TU Vienna:

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.