Publications in Scientific Journals:
W. Auzinger, G. Kneisl, O. Koch, E. Weinmüller:
"A Collocation Code for Singular Boundary Value Problems in Ordinary Differential Equations";
Numerical Algorithms,
33
(2003),
27
- 39.
English abstract:
We present a Matlab package for boundary value problems in ordinary differential equations. Our aim is the efficient numerical solution of systems of ODEs with a singularity of the first kind, but the solver can also be used for regular problems. The basic solution is computed using collocation methods and a new, efficient estimate of the global error is used for adaptive mesh selection. Here, we analyze some of the numerical aspects relevant for the implementation, describe measures to increase the efficiency of the code and compare its performance with the performance of established standard codes for boundary value problems.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1023/A:1025531130904
Online library catalogue of the TU Vienna:
http://aleph.ub.tuwien.ac.at/F?base=tuw01&func=find-c&ccl_term=AC04405558
Electronic version of the publication:
http://www.math.tuwien.ac.at/~winfried/papers/anumpp1801.pdf
Created from the Publication Database of the Vienna University of Technology.