Test set for initial value problem solvers

The CWI test set for IVP solvers presents a collection of Initial Value Problems to test solvers for implicit differential equations. This test set can both decrease the effort for the code developer to test his software in a reliable way, and cross the bridge between the application field and numerical mathematics. This document contains the descriptive part of the test set. It describes the test problems and their origin, and reports on the behavior of a few state-of-the-art 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 url{http://www.cwi.nl/cwi/projects/IVPtestset/. 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

Specification of PSIDE

PSIDE is a code for solving implicit differential equations on parallel computers. It is an implementation of the four-stage Radau IIA method. The nonlinear systems are solved by a modified Newton process, in which every Newton iterate itself is computed by an iteration process. This process is constructed such that the four stage values can be computed simultaneously. We describe here how PSIDE is set up as a modular system and what control strategies have been chosen

PSIDE users' guide

PSIDE -- Parallel Software for Implicit Differential Equations -- is a code for solving implicit differential equations on shared memory parallel computers. In this paper we describe the user interface