Software development for explicit
singular BVPs in ODEs
Project funded by the Mathematics department at TU Wien January 2000 - December 2002 and by Austrian Sience Foundation (FWF grant P15072) from November 2002 until October 2003.
Objectives:
Our aim is to
provide a MATLAB code (based on collocation) for the numerical solution of singular boundary value problems
for systems of ODEs with a singularity of the first and second kind.
Members of the Department involved in the project:
Winfried Auzinger |
Günter Kneisl |
Othmar Koch |
Ewa Weinmüller |
Software:
You can download (via the MathWorks homepage) the package
SBVP1.0, a
manual and a
comprehensive report on the
performance of the code.
Important publications:
W. Auzinger, O. Koch, E.
B. Weinmüller: Efficient
Collocation Schemes for Singular Boundary Value Problems, Numer.
Algorithms 31(2002), pp. 5-25.
W. Auzinger, G. Kneisl, O. Koch, E.
B. Weinmüller: A
Solution Routine for Singular Boundary Value Problems, Technical Report,
ANUM Preprint 1/02, 2002.
W. Auzinger, G. Kneisl, O. Koch, E.
B. Weinmüller: A Collocation Code for Boundary Value Problems in Ordinary
Differential Equations, Numer. Algorithms, 33(2003), pp. 27-39.
W. Auzinger, O. Koch, E.
Weinmüller, Analysis
od a New Error Estimate for Collocation Methods Applied to Singular Boundary
Value Problem, SIAM, J. Numer. Anal. 42(2005), pp. 2366-2386.
W. Auzinger, O. Koch, E. Weinmüller, Efficient
Mesh Selection for Collocation Methods Applied to Singular BVPs,
J. Comput. Appl. Math. 1, Vol. 180(2005), pp. 213-227.