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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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1981
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| Online Access: | http://psasir.upm.edu.my/id/eprint/116364/ http://psasir.upm.edu.my/id/eprint/116364/1/116364.pdf |
| _version_ | 1848866986140893184 |
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| author | Hall, G. Suleiman, M.B. |
| author_facet | Hall, G. Suleiman, M.B. |
| author_sort | Hall, G. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T14:29:19Z |
| format | Article |
| id | upm-116364 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:29:19Z |
| publishDate | 1981 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1163642025-03-27T01:27:48Z http://psasir.upm.edu.my/id/eprint/116364/ Stability of Adams-type formulae for second-order ordinary differential equations Hall, G. Suleiman, M.B. 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. 1981 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/116364/1/116364.pdf 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 https://academic.oup.com/imajna/article-lookup/doi/10.1093/imanum/1.4.427 10.1093/imanum/1.4.427 |
| spellingShingle | Hall, G. Suleiman, M.B. Stability of Adams-type formulae for second-order ordinary differential equations |
| title | Stability of Adams-type formulae for second-order ordinary differential equations |
| title_full | Stability of Adams-type formulae for second-order ordinary differential equations |
| title_fullStr | Stability of Adams-type formulae for second-order ordinary differential equations |
| title_full_unstemmed | Stability of Adams-type formulae for second-order ordinary differential equations |
| title_short | Stability of Adams-type formulae for second-order ordinary differential equations |
| title_sort | stability of adams-type formulae for second-order ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/116364/ http://psasir.upm.edu.my/id/eprint/116364/ http://psasir.upm.edu.my/id/eprint/116364/ http://psasir.upm.edu.my/id/eprint/116364/1/116364.pdf |