Some necessary conditions for convergence of the GBDF methods
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 o...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Mathematical Society
1993
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/114040/ http://psasir.upm.edu.my/id/eprint/114040/1/114040.pdf |
| _version_ | 1848866387823427584 |
|---|---|
| author | Suleiman, Mohamed |
| author_facet | Suleiman, Mohamed |
| author_sort | Suleiman, Mohamed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T14:19:48Z |
| format | Article |
| id | upm-114040 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:19:48Z |
| publishDate | 1993 |
| publisher | American Mathematical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1140402024-12-08T08:31:29Z http://psasir.upm.edu.my/id/eprint/114040/ Some necessary conditions for convergence of the GBDF methods Suleiman, Mohamed 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. American Mathematical Society 1993 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/114040/1/114040.pdf Suleiman, Mohamed (1993) Some necessary conditions for convergence of the GBDF methods. Mathematics of Computation, 60 (202). pp. 635-649. ISSN 0025-5718 https://www.ams.org/journals/mcom/1993-60-202/S0025-5718-1993-1176717-5/ 10.1090/s0025-5718-1993-1176717-5 |
| spellingShingle | Suleiman, Mohamed Some necessary conditions for convergence of the GBDF methods |
| title | Some necessary conditions for convergence of the GBDF methods |
| title_full | Some necessary conditions for convergence of the GBDF methods |
| title_fullStr | Some necessary conditions for convergence of the GBDF methods |
| title_full_unstemmed | Some necessary conditions for convergence of the GBDF methods |
| title_short | Some necessary conditions for convergence of the GBDF methods |
| title_sort | some necessary conditions for convergence of the gbdf methods |
| url | http://psasir.upm.edu.my/id/eprint/114040/ http://psasir.upm.edu.my/id/eprint/114040/ http://psasir.upm.edu.my/id/eprint/114040/ http://psasir.upm.edu.my/id/eprint/114040/1/114040.pdf |