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• Convergence of rational multistep methods of of Adams-Padé type

  Publikacja

  • M. M. Łapińska
  • W. Auzinger

  - BIT NUMERICAL MATHEMATICS - Rok 2012

  Rational generalizations of multistep schemes, where the linear stiff part of a given problem is treated by an A-stable rational approximation, have been proposed by several authors, but a reasonable convergence analysis for stiff problems has not been provided so far. In this paper we directly relate this approach to exponential multistep methods, a subclass of the increasingly popular class of exponential integrators. This natural,...

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