Open Access
2011 Stability properties of a predictor-corrector implementation of an implicit linear multistep method
Scott Sarra, Clyde Meador
Involve 4(1): 43-51 (2011). DOI: 10.2140/involve.2011.4.43

Abstract

We examine the stability properties of a predictor-corrector implementation of a class of implicit linear multistep methods. The method has recently been described in the literature as suitable for the efficient integration of stiff systems and as having stability regions similar to well known implicit methods. A more detailed analysis reveals that this is not the case.

Citation

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Scott Sarra. Clyde Meador. "Stability properties of a predictor-corrector implementation of an implicit linear multistep method." Involve 4 (1) 43 - 51, 2011. https://doi.org/10.2140/involve.2011.4.43

Information

Received: 1 March 2010; Revised: 23 March 2011; Accepted: 7 May 2011; Published: 2011
First available in Project Euclid: 20 December 2017

zbMATH: 1252.65124
MathSciNet: MR2838260
Digital Object Identifier: 10.2140/involve.2011.4.43

Subjects:
Primary: 65L04 , 65L06 , 65L20

Keywords: eigenvalue stability , linear multistep method , numerical differential equations , stiffness

Rights: Copyright © 2011 Mathematical Sciences Publishers

Vol.4 • No. 1 • 2011
MSP
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