Solving Generalized Boundary Value Problems with Distributed Computing and Recursive Programming

  • Authors:
  • Imre Szeberényi;Gábor Dokomos

  • Affiliations:
  • -;-

  • Venue:
  • Proceedings of the 6th European PVM/MPI Users' Group Meeting on Recent Advances in Parallel Virtual Machine and Message Passing Interface
  • Year:
  • 1999

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Abstract

A wide field of technical problems can be described by boundary value problems (BVPs) associated with ordinary differential equations (ODEs). We show a numerical method and its distributed parallel implementation for solving BVPs. We generalize our method presented earlier in [5] to a recursive scheme, capable of solving more complex technical problems, such as global search for stability boundaries. In this paper we also present the efficient, PVM based implementation of our recursive algorithm.