Contributions to Books:
G. Kitzhofer, O. Koch, E. Weinmüller:
"Numerical Treatment of singular BVPS: the new MATLAB code bvpsuite";
in: "ASC Report 09/2009",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
W,
2009,
ISBN: 978-3-902627-02-5,
1
- 25.
English abstract:
In this article we consider boundary value problems for
systems of ordinary differential equations with singularities. We discuss
the analytical properties of such systems and put forward polynomial
collocation for their numerical solution. We also discuss further prerequisites
necessary for an efficient open domain code - a posteriori error
estimation and a grid adaptation strategy. Finally, we present the scope
and the performance of our new MATLAB code bvpsuite designed
to solve singular boundary value problems and index-1 differential algebraic
equations.
Boundary value problems - singularity of the first kind - singularity of
the second kind - analysis - collocation methods - a posteriori error
estimation - mesh adaptation - pathfollowing - blow-up problems
1. INTRODUCTION
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2009/asc09x2009.pdf
Created from the Publication Database of the Vienna University of Technology.