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.
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:
You can download (via the MathWorks homepage) the package
manual and a
comprehensive report on the
performance of the code.
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.