Some new multistep methods for solving ordinary differential equations-Reference-Cited by-同舟云学术

Some new multistep methods for solving ordinary differential equations

Published:1975 Issue:130 Volume:29 Page:489-500
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Gupta G. K.,Wallace C. S.

Abstract

Three sets of linear multistep formulae for solving stiff and nonstiff ordinary differential equations are presented. Two of the sets are based on Adams-Moulton and stiff formulae used by Gear [1969]. A third set of formulae based on least-squares approximation is shown to be stiffly-stable up to order 8 and is suitable for solving stiff differential equations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1975-29-130/S0025-5718-1975-0373290-5/S0025-5718-1975-0373290-5.pdf

Reference11 articles.

1. Convergence and stability in the numerical integration of ordinary differential equations;Dahlquist, Germund;Math. Scand.,1956

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

3. The automatic integration of stiff ordinary differential equations.;Gear, C. W.,1969

4. The automatic integration of ordinary differential equations;Gear, C. W.;Comm. ACM,1971

5. The automatic integration of ordinary differential equations;Gear, C. W.;Comm. ACM,1971

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