Treating a single, stiff, second-order ODE directly
The stability of direct methods for second-order systems is examined. The methods, suggested by Krogh, are generalized BDF methods. The control of stepsize to ensure stability is examined and criteria for deciding when to switch between methods are discussed.
| Main Authors: | , |
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| Format: | Article |
| Published: |
Elsevier
1989
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| Online Access: | http://psasir.upm.edu.my/id/eprint/114116/ |
| _version_ | 1848866409610739712 |
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| author | Suleiman, M.B. Gear, C.W. |
| author_facet | Suleiman, M.B. Gear, C.W. |
| author_sort | Suleiman, M.B. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The stability of direct methods for second-order systems is examined. The methods, suggested by Krogh, are generalized BDF methods. The control of stepsize to ensure stability is examined and criteria for deciding when to switch between methods are discussed. |
| first_indexed | 2025-11-15T14:20:09Z |
| format | Article |
| id | upm-114116 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T14:20:09Z |
| publishDate | 1989 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1141162024-12-03T03:50:16Z http://psasir.upm.edu.my/id/eprint/114116/ Treating a single, stiff, second-order ODE directly Suleiman, M.B. Gear, C.W. The stability of direct methods for second-order systems is examined. The methods, suggested by Krogh, are generalized BDF methods. The control of stepsize to ensure stability is examined and criteria for deciding when to switch between methods are discussed. Elsevier 1989-11 Article PeerReviewed Suleiman, M.B. and Gear, C.W. (1989) Treating a single, stiff, second-order ODE directly. Journal of Computational and Applied Mathematics, 27 (3). pp. 331-348. ISSN 0377-0427; eISSN: 0377-0427 https://linkinghub.elsevier.com/retrieve/pii/0377042789900216 10.1016/0377-0427(89)90021-6 |
| spellingShingle | Suleiman, M.B. Gear, C.W. Treating a single, stiff, second-order ODE directly |
| title | Treating a single, stiff, second-order ODE directly |
| title_full | Treating a single, stiff, second-order ODE directly |
| title_fullStr | Treating a single, stiff, second-order ODE directly |
| title_full_unstemmed | Treating a single, stiff, second-order ODE directly |
| title_short | Treating a single, stiff, second-order ODE directly |
| title_sort | treating a single, stiff, second-order ode directly |
| url | http://psasir.upm.edu.my/id/eprint/114116/ http://psasir.upm.edu.my/id/eprint/114116/ http://psasir.upm.edu.my/id/eprint/114116/ |