A new approach to the construction of DIMSIMs of high order and stage order

I. Th Famelis, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

Abstract

In this work we describe a new approach to the construction of diagonally implicit multistage integration methods (DIMSIMs) for the numerical solution of initial value problems for ordinary differential equations (ODEs). Differential Evolution, a very popular computational intelligence technique is employed to construct type 1 and type 2 methods with better or equivalent characteristics to the methods presented in the literature. The numerical results in selected problems justify this argument.

Original languageEnglish (US)
Pages (from-to)79-93
Number of pages15
JournalApplied Numerical Mathematics
Volume119
DOIs
StatePublished - Sep 1 2017

Keywords

  • Differential evolution
  • Error control
  • Error estimation
  • General linear methods
  • Nordsieck representation

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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