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


Citation

Hall, G. and Suleiman, M.B. (1981) Stability of Adams-type formulae for second-order ordinary differential equations. IMA Journal of Numerical Analysis, 1 (4). pp. 427-438. ISSN 0272-4979; eISSN: 0272-4979

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1093/imanum/1.4.427
Keywords: Second-order equations; Stability of methods for systems; Stability regions; Single equation; Stable step-sizes; Usual order selection strategies; Stability; Ccuracy.
Depositing User: Ms. Azian Edawati Zakaria
Date Deposited: 27 Mar 2025 01:27
Last Modified: 27 Mar 2025 01:27
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1093/imanum/1.4.427
URI: http://psasir.upm.edu.my/id/eprint/116364
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