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PVM Implementation of Boundary Value Problems on Heterogeneous Parallel Systems

Imre Szeberényi

TU Budapest Department of Control Engineering and Information Technology


A wide class of technical problems can be described by boundary value problems (BVPs) associated with ordinary differential equations (ODEs). The solution of parameter-dependent BVPs is a hard task and the numerical solution is highly computation intensive. The Global Direct Algorithm described in [3] gives a new numerical approach which is the base of the Parallel Simplex Algorithm (PSA) [5]. This algorithm has been implemented with Parallel Virtual Machine (PVM) and has been tested in heterogeneous environment. This paper presents the core of the algorithm and makes a short summary about the technical problems in which the PSA has been applied.

Szeberenyi Imre 2005-10-08