A case study on visualization for boundary value problems

In this paper we present a method, and a software based on this method, making highly inter-active visualization possible for computational results on nonlinear BVPs associated with ODEs. The program PCR relies partly on computer graphics tools and partly on real-time computations, the combination of which not only helps the understanding of complex problems, it also permits the reduction of stored data by orders of magnitude. The method has been implemented on PCs (running on DOS) and on the Application Visualization System (AVS) for UNIX machines, this paper provides a brief introduction to the latter version besides describing the mathematical background of the method