Contributions to Books:

W. Auzinger, O. Koch, M. Schöbinger, E. Weinmüller:
"A new version of the code bvpsuite for singular BVPs in ODEs: Nonlinear solver and its application to m-Laplacians.";
in: "ASC Report 28/2015", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2015, ISBN: 978-3-902627-08-7, 1 - 58.

English abstract:
This report documents the Matlab routine bvpsuite, developed at the Technical Uni-versity of Vienna. It explains the ways bvpsuite solves nonlinear boundary value prob-lems. These problems may be singular or posed on a semiinfinite interval. bvpsuite can also solve eigenvalue problems and problems containing unknown parameters. Before the bvpsuite-specific details an overview of Collocation and the Newton method is given.
This report also shows the changes applied to the routine during a resent update. The use of bvpsuite is illustrated by two fully documented examples, a linear and a nonlinear one. An overview of the settings options is also given.
The report ends with the application of bvpsuite to m-Laplacians, both before and after a smoothing transformation. The numerical rates of convergence are evaluated depending on the number of collocation points per collocation interval.

Electronic version of the publication:

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