Contributions to Books:

J. Burkotova, I. Rachunkova, S. Stanek, E. Weinmüller:
"Analytical and numerical treatment of singular linear BVPs with unsmooth inhomogeneity";
in: "ASC Report 36/2014", issued by: Institute for Analysis and Scientific Computing; Institut für Angewandte und Numerische Mathematik, Vienna University of Technology, Wien, 2014, ISBN: 978-3-902627-07-0, 1 - 4.

English abstract:
We investigate analytical and numerical properties of systems of linear ordinary differential equations with unsmooth nonintegrable inhomogeneities and a time singularity of the first kind. We are especially interested in specifying the structure of general linear two-point boundary conditions guaranteeing existence and uniqueness of solutions which are continuous ona closed intervalincluding the singularpoint t= 0. Moreover, westudy the convergencebehaviour of collocation schemes applied to solve the problem numerically.

linear systems of ODEs, singular boundary value problem, time singularity of the first kind, unsmooth inhomogeneity, existence and uniqueness, collocation method, convergence

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.