A Gradient Hybrid Parallel Algorithm to One-Parameter Nonlinear Boundary Value Problems

  • Authors:
  • Dániel Pasztuhov;János Török

  • Affiliations:
  • Budapest University of Technology and Economics, Budapest, Hungary;Budapest University of Technology and Economics, Budapest, Hungary

  • Venue:
  • Large-Scale Scientific Computing
  • Year:
  • 2009

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Abstract

We present a novel global algorithm for parallel computers, suitable to solve nonlinear boundary value problems depending on one parameter. The existing scanning and solution following algorithms are extended by a gradient method which is performed on an artificial potential created from the equation system. All three components of the algorithm can be parallelized and thus used in a GRID network. We validate our algorithms on a few small examples.