Linear multistep methods with mildly varying coefficients-Reference-Cited by-同舟云学术

Linear multistep methods with mildly varying coefficients

Published:1970 Issue:109 Volume:24 Page:81-93
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Lambert J. D.

Abstract

Consideration of a common assumption in the theory of weak stability of linear multistep methods for ordinary differential equations leads to the study of a class of linear multistep methods with mildly varying coefficients. It is well known that, in the case of constant-coefficient methods, optimal stable methods suffer from weak instability. Corresponding methods of the new class, of step-number 2 2 and 4 4 , which do not suffer from weak instability are derived.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1970-24-109/S0025-5718-1970-0280010-7/S0025-5718-1970-0280010-7.pdf

Reference7 articles.

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3. Relative stability in the numerical solution of ordinary differential equations;Ralston, Anthony;SIAM Rev.,1965

4. Stable predictor-corrector methods for ordinary differential equations;Hamming, R. W.;J. Assoc. Comput. Mach.,1959

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