**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.

- Introduction
- The Parallel Simplex Algorithm
- Parallelism and Computing
- Implementing the PSA under PVM
- Results and conclusions
- Acknowledgements
- Bibliography
- About this document ...

Szeberenyi Imre 2005-10-08