Nordsieck representation of DIMSIMs

J. C. Butcher, P. Chartier, Zdzislaw Jackiewicz

Research output: Contribution to journalArticlepeer-review

39 Scopus citations


A new representation for diagonally implicit multistage integration methods (DIMSIMs) is derived in which the vector of external stages directly approximates the Nordsieck vector. The methods in this formulation are zero-stable for any choice of variable mesh. They are also easy to implement since changing step-size corresponds to a simple rescaling of the vector of external approximations. The paper contains an analysis of local truncation error and of error accumulation in a variable step-size situation.

Original languageEnglish (US)
Pages (from-to)209-230
Number of pages22
JournalNumerical Algorithms
Issue number2
StatePublished - 1997


  • DIMSIM methods
  • Error accumulation
  • Error estimation
  • Nordsieck representation
  • Variable step-size

ASJC Scopus subject areas

  • Applied Mathematics


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