A Continuous Formulation of A(α)-Stable Second Derivative Linear Multistep Methods for Stiff IVPs in ODEs
This paper considers family of A(α)-stable second derivative linear multistep methods of order p = k + 3 for step number k ≥ 15 for the solution of stiff IVPs in ODEs. The methods are demonstrated to be A(α)-stable for k ≥ 13. At k = 14, the method is stable but not A(α)-stable. The instability of t...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
SAGE Publishing
2012-03-01
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Series: | Journal of Algorithms & Computational Technology |
Online Access: | https://doi.org/10.1260/1748-3018.6.1.79 |