Publications in Scientific Journals:
J. Burkotova, I. Rachunkova, E. Weinmüller:
"On singular BVPs with unsmooth data. Part 2: Convergence of the collocation schemes.";
BIT Numerical Mathematics,
57
(2017),
4;
1153
- 1184.
English abstract:
This paper deals with the collocation method applied to solve systems of singular linear ordinary differential equations with variable coefficient matrices and nonsmooth inhomogeneities. The classical stage convergence order is shown to hold singularities of the first kind provided that their solutions are appropriately smooth.
The convergence theory is illustrated by numerical examples.
Keywords:
Linear systems of ordinary differential equations · Singular boundary value problems · Time singularity of the first kind · Nonsmooth inhomogeneity · Collocation method · Convergence
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s10543-017-0686-5
Created from the Publication Database of the Vienna University of Technology.