Citation
Suleiman, Mohamed
(1993)
Some necessary conditions for convergence of the GBDF methods.
Mathematics of Computation, 60 (202).
pp. 635-649.
ISSN 0025-5718
Abstract
The Generalized Backward Differentiation methods for solving stiff higher-order ordinary differential equations are described. The convergence, zero stability and consistency of these methods are defined. Next, the zero stability and consistency conditions necessary for convergence are proven. The order for which the methods are zero stable is also determined.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1090/s0025-5718-1993-1176717-5 |
| Publisher: | American Mathematical Society |
| Keywords: | Generalized Backward Differentiation methods; Higher-order ordinary differential equations; Convergence; Zero stability; Consistency |
| Depositing User: | Mr. Mohamad Syahrul Nizam Md Ishak |
| Date Deposited: | 08 Dec 2024 08:31 |
| Last Modified: | 08 Dec 2024 08:31 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1090/s0025-5718-1993-1176717-5 |
| URI: | http://psasir.upm.edu.my/id/eprint/114040 |
| Statistic Details: | View Download Statistic |
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