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A class of hybrid linear multistep methods with A(ɑ)-stability properties for stiff IVPs in ODEs
-
R. I. Okuonghae
und
M.N.O. Ikhile
Veröffentlicht/Copyright:
1. Juni 2013
Abstract
In this paper, we consider a family of hybrid linear multistep methods (LMM) with reasonable error order for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A(ɑ)-stable for k = 1, ...,9.
Keywords : hybrid methods; continuous methods; collocation; interpolation; boundary locus; A(ɑ)-stability
Published Online: 2013-06-01
Published in Print: 2013-06
© 2013 by Walter de Gruyter GmbH & Co.
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Artikel in diesem Heft
- Masthead
- Robust residual a posteriori error estimators for the Reissner–Mindlin eigenvalues system
- Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators
- A class of hybrid linear multistep methods with A(ɑ)-stability properties for stiff IVPs in ODEs
Schlagwörter für diesen Artikel
hybrid methods;
continuous methods;
collocation;
interpolation;
boundary locus;
A(ɑ)-stability
Artikel in diesem Heft
- Masthead
- Robust residual a posteriori error estimators for the Reissner–Mindlin eigenvalues system
- Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators
- A class of hybrid linear multistep methods with A(ɑ)-stability properties for stiff IVPs in ODEs
