Explicit Nordsieck methods with extended stability regions

Z. Bartoszewski; Zdzislaw Jackiewicz

doi:10.1016/j.amc.2011.11.088

Explicit Nordsieck methods with extended stability regions

Z. Bartoszewski, Zdzislaw Jackiewicz

Mathematical and Statistical Sciences, School of (SoMSS)

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

7 Scopus citations

Abstract

We describe the construction of explicit Nordsieck methods of order p and stage order q = p with large regions of absolute stability. We also discuss error propagation and estimation of local discretization errors. The error estimators are derived for examples of general linear methods constructed in this paper. Some numerical experiments are presented which illustrate the effectiveness of proposed methods.

Original language	English (US)
Pages (from-to)	6056-6066
Number of pages	11
Journal	Applied Mathematics and Computation
Volume	218
Issue number	10
DOIs	https://doi.org/10.1016/j.amc.2011.11.088
State	Published - Jan 15 2012

Keywords

Explicit Nordsieck methods
General linear methods
Order conditions
Region of absolute stability

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2011.11.088

Cite this

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abstract = "We describe the construction of explicit Nordsieck methods of order p and stage order q = p with large regions of absolute stability. We also discuss error propagation and estimation of local discretization errors. The error estimators are derived for examples of general linear methods constructed in this paper. Some numerical experiments are presented which illustrate the effectiveness of proposed methods.",

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AB - We describe the construction of explicit Nordsieck methods of order p and stage order q = p with large regions of absolute stability. We also discuss error propagation and estimation of local discretization errors. The error estimators are derived for examples of general linear methods constructed in this paper. Some numerical experiments are presented which illustrate the effectiveness of proposed methods.

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KW - General linear methods

KW - Order conditions

KW - Region of absolute stability

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Explicit Nordsieck methods with extended stability regions

Abstract

Keywords

ASJC Scopus subject areas

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