Maximal order of accuracy of (m,1)-methods for solving stiff problems
We investigate (m,1)-methods for solving stiff problems in which the right part of system of the differential equations is calculated one times on each step. It is shown that the maximal order of accuracy of the L-stability (m,1)-method is equal to two, and the method of the maximal order is constru...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2011-09-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu920 |
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Article |
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doaj-935eae41bcae4e91b369e03a7a37c4ac2020-11-25T02:10:07ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812011-09-013(24)100107Maximal order of accuracy of (m,1)-methods for solving stiff problemsE. A. NovikovWe investigate (m,1)-methods for solving stiff problems in which the right part of system of the differential equations is calculated one times on each step. It is shown that the maximal order of accuracy of the L-stability (m,1)-method is equal to two, and the method of the maximal order is constructed. http://mi.mathnet.ru/eng/vsgtu920 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
E. A. Novikov |
| spellingShingle |
E. A. Novikov Maximal order of accuracy of (m,1)-methods for solving stiff problems Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| author_facet |
E. A. Novikov |
| author_sort |
E. A. Novikov |
| title |
Maximal order of accuracy of (m,1)-methods for solving stiff problems |
| title_short |
Maximal order of accuracy of (m,1)-methods for solving stiff problems |
| title_full |
Maximal order of accuracy of (m,1)-methods for solving stiff problems |
| title_fullStr |
Maximal order of accuracy of (m,1)-methods for solving stiff problems |
| title_full_unstemmed |
Maximal order of accuracy of (m,1)-methods for solving stiff problems |
| title_sort |
maximal order of accuracy of (m,1)-methods for solving stiff problems |
| publisher |
Samara State Technical University |
| series |
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| issn |
1991-8615 2310-7081 |
| publishDate |
2011-09-01 |
| description |
We investigate (m,1)-methods for solving stiff problems in which the right part of system of the differential equations is calculated one times on each step. It is shown that the maximal order of accuracy of the L-stability (m,1)-method is equal to two, and the method of the maximal order is constructed.
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| url |
http://mi.mathnet.ru/eng/vsgtu920 |
| work_keys_str_mv |
AT eanovikov maximalorderofaccuracyofm1methodsforsolvingstiffproblems |
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1724920716878413824 |