Some necessary conditions for convergence of the GBDF methods-Reference-Cited by-同舟云学术

Some necessary conditions for convergence of the GBDF methods

Published:1993 Issue:202 Volume:60 Page:635-649
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Suleiman Mohamed Bin

Abstract

The Generalized Backward Differentiation methods for solving stiff higher-order ordinary differential equations are described. The convergence, zero stability and consistency of these methods are defined. Next, the zero stability and consistency conditions necessary for convergence are proven. The order for which the methods are zero stable is also determined.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1993-60-202/S0025-5718-1993-1176717-5/S0025-5718-1993-1176717-5.pdf

Reference9 articles.

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2. The stability of numerical methods for second order ordinary differential equations;Gear, C. William;SIAM J. Numer. Anal.,1978

3. Stability of Adams-type formulae for second-order ordinary differential equations;Hall, G.;IMA J. Numer. Anal.,1981

4. A variable step, variable order multistep method for the numerical solution of ordinary differential equations;Krogh, Fred T.,1969

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