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W. Auzinger, G. Kneisl, O. Koch, W. Polster, E. Weinmüller:
"Implementation of a Solution Routine for Singular Boundary Value Problems";
in: "ARGESIM - Working Group Simulation News S70", issued by: ARGESIM; ARGESIM / ASIM, Wien, 2001.

This paper deals with the implementation of a MATLAB-solver for singular boundary value problems with a singularity of the first kind. This solver includes a mesh adaption routine that selects meshes according to the local smoothness of the solution rather than to the smoothness of the direction field. The mesh selection is based on a new global error estimator for collocation schemes, which has recently been developed at the Institute for Applied Mathematics and Numerical Analysis and proves robust with respect to the singularity.