Stability of Adams-type formulae for second-order ordinary differential equations

The stability of methods for systems of second-order equations is discussed. Stability regions are obtained for a single equation and the existence of stable step-sizes is shown for systems. An example is used as an illustration of the effect of the usual order selection strategies on stability and...

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Bibliographic Details
Main Authors: Hall, G., Suleiman, M.B.
Format: Article
Language:English
Published: 1981
Online Access:http://psasir.upm.edu.my/id/eprint/116364/
http://psasir.upm.edu.my/id/eprint/116364/1/116364.pdf
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Summary:The stability of methods for systems of second-order equations is discussed. Stability regions are obtained for a single equation and the existence of stable step-sizes is shown for systems. An example is used as an illustration of the effect of the usual order selection strategies on stability and accuracy. © 1981, by Academic Press Inc. (London) Limited.