Experiments with a variable-order type 1 DIMSIM code

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

Experiments with a variable-order type 1 DIMSIM code

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

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

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 language	English (US)
Pages (from-to)	237-261
Number of pages	25
Journal	Numerical Algorithms
Volume	22
Issue number	3-4
State	Published - Dec 1 1999

Keywords

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

ASJC Scopus subject areas

Applied Mathematics

Cite this

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AB - 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.

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KW - Step size and order changing strategy

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Experiments with a variable-order type 1 DIMSIM code

Abstract

Keywords

ASJC Scopus subject areas

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