Test Set for Initial Value Problem Solvers

Abstract

The Bari test set for IVP solvers presents a collection of Initial Value Problems to test solvers for implicit dierential equations. This test set can both decrease the eort for the code developer to test his software in a reliable way, and cross the bridge between the application eld and numerical mathematics, by helping people working in several branches of scientic disciplines in choosing the code most suitable for their problems. This document contains the descriptive part of the test set. It describes the solvers used in the comparisons, the test problems and their origin, and reports on the behavior of the solvers on these problems. The latest version of this document and the software part of the test set is available via the world wide web at http://www.dm.uniba.it/~testset. The software part serves as a platform on which one can test the performance of a solver on a particular test problem oneself. Instructions how to use this software are in this paper as well. The idea to develop this test set was discussed at the workshop ODE to NODE, held in Geiranger, Norway, 19{22 June 1995 and was developed by the CWI group. After the workshop ANODE01, held in Auckland, New Zealand, 2001, the testset moved to the University of Bari.