A note on the stability of predictor-corrector techniques-Reference-Cited by-同舟云学术

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A note on the stability of predictor-corrector techniques

Published:1969 Issue:108 Volume:23 Page:741-749
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Case James

Abstract

The theory of schlicht mappings is used to estimate stepsizes which guarantee the stability of a linear multistep method for the integration of ordinary differential equations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1969-23-108/S0025-5718-1969-0263247-4/S0025-5718-1969-0263247-4.pdf

Reference8 articles.

1. Stability properties of predictor-corrector methods for ordinary differential equations;Chase, P. E.;J. Assoc. Comput. Mach.,1962

2. Stability and error bounds in the numerical integration of ordinary differential equations;Dahlquist, Germund;Kungl. Tekn. H\"{o}gsk. Handl. Stockholm,1959

3. A special stability problem for linear multistep methods;Dahlquist, Germund G.;Nordisk Tidskr. Informationsbehandling (BIT),1963

4. Cambridge Tracts in Mathematics and Mathematical Physics, No. 48;Hayman, W. K.,1958

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