Experiments with a variable-order type 1 DIMSIM code

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

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

The issues related to the development of a new code for nonstiff ordinary differential equations are discussed. This code is based on the Nordsieck representation of type 1 DIMSIMs, implemented in a variable-step size variable-order mode. Numerical results demonstrate that the error estimation employed in the code is very reliable and that the step and order changing strategies are very robust. This code outperforms the Matlab ode45 code for moderate and stringent tolerances.

Original languageEnglish (US)
Pages (from-to)237-261
Number of pages25
JournalNumerical Algorithms
Volume22
Issue number3-4
StatePublished - 1999

Fingerprint

Order Type
Ordinary differential equations
Error analysis
Experiment
Experiments
Variable Step Size
Error Estimation
MATLAB
Tolerance
Ordinary differential equation
Numerical Results
Demonstrate

Keywords

  • DIMSIM methods
  • Local error estimation
  • Nordsieck representation
  • Step size and order changing strategy

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Experiments with a variable-order type 1 DIMSIM code. / Butcher, J. C.; Chartier, P.; Jackiewicz, Zdzislaw.

In: Numerical Algorithms, Vol. 22, No. 3-4, 1999, p. 237-261.

Research output: Contribution to journalArticle

Butcher, JC, Chartier, P & Jackiewicz, Z 1999, 'Experiments with a variable-order type 1 DIMSIM code', Numerical Algorithms, vol. 22, no. 3-4, pp. 237-261.
Butcher, J. C. ; Chartier, P. ; Jackiewicz, Zdzislaw. / Experiments with a variable-order type 1 DIMSIM code. In: Numerical Algorithms. 1999 ; Vol. 22, No. 3-4. pp. 237-261.
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