On the Stability of Some Spline Collocation Implicit Difference Scheme
Numerical Analysis
2013-03-27 v1
Abstract
Boundary problem for linear partial differential algebraic equations system with multiple characteristic curves is considered. It is supposed that matrix-functions pencil of the system under consideration is smoothly equivalent to special canonical form. For this problem, with the help of the spline collocation method, a difference scheme of arbitrary degree of approximation with respect to each variable is constructed. Sufficient conditions for its absolute stability is found.
Cite
@article{arxiv.1303.6359,
title = {On the Stability of Some Spline Collocation Implicit Difference Scheme},
author = {Svetlana Gaidomak},
journal= {arXiv preprint arXiv:1303.6359},
year = {2013}
}
Comments
LaTex, 22 pages