Hybrid solvers for composition and splitting methods

  • Authors:
  • M. Sofroniou;G. Spaletta

  • Affiliations:
  • Department of Research & Development, Wolfram Research, Champaign, IL;Department of Mathematics, University of Bologna, Bologna, Italy

  • Venue:
  • Journal of Computational and Applied Mathematics - Special issue: International workshop on the technological aspects of mathematics
  • Year:
  • 2006

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Abstract

Composition and splitting are useful techniques for constructing special purpose integration methods for numerically solving many types of differential equations. In this article we will review these methods and summarise the essential ingredients of an implementation that has recently been added to a framework for solving differential equations in Mathematica.