Exploiting structure in the construction of DIMSIMs

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

We describe the structure of the nonlinear system for the coefficients of diagonally implicit multistage integration methods for ordinary differential equations. This structure is then utilized in the search for methods of high order and stage order with a given stability function. New methods were obtained by solving the nonlinear systems by state-of-the-art software based on least squares minimization.

Original languageEnglish (US)
Pages (from-to)233-239
Number of pages7
JournalJournal of Computational and Applied Mathematics
Volume107
Issue number2
DOIs
StatePublished - Jul 31 1999

Keywords

  • 65L05
  • 65L20
  • A-stability
  • General linear method
  • Least-squares minimization
  • Ordinary differential equation

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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