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The fourth order of accuracy sequential type rational splitting of inhomogeneous evolution problem
In the present work symmetrized sequential type decomposition scheme of the fourth degree precision for the solution of inhomogeneous evolution problem is constructed. The fourth degree precision is reached by introducing the complex parameter α = 1/2 ± i(1/2√3) and by the approximation of the semig...
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Інститут прикладної математики і механіки НАН України
2009
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| Series: | Український математичний вісник |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/124365 |
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irk-123456789-1243652017-09-25T03:02:52Z The fourth order of accuracy sequential type rational splitting of inhomogeneous evolution problem Rogava, J. Tsiklauri, M. In the present work symmetrized sequential type decomposition scheme of the fourth degree precision for the solution of inhomogeneous evolution problem is constructed. The fourth degree precision is reached by introducing the complex parameter α = 1/2 ± i(1/2√3) and by the approximation of the semigroup through the rational approximation. For the considered scheme the explicit a priori estimation is obtained. 2009 Article The fourth order of accuracy sequential type rational splitting of inhomogeneous evolution problem / J. Rogava, M. Tsiklauri // Український математичний вісник. — 2009. — Т. 6, № 3. — С. 385-399. — Бібліогр.: 14 назв. — англ. 1810-3200 2000 MSC. 65M12, 65M15, 65M55. http://dspace.nbuv.gov.ua/handle/123456789/124365 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| description |
In the present work symmetrized sequential type decomposition scheme of the fourth degree precision for the solution of inhomogeneous evolution problem is constructed. The fourth degree precision is reached by introducing the complex parameter α = 1/2 ± i(1/2√3) and by the approximation of the semigroup through the rational approximation. For the considered scheme the explicit a priori estimation is obtained. |
| format |
Article |
| author |
Rogava, J. Tsiklauri, M. |
| spellingShingle |
Rogava, J. Tsiklauri, M. The fourth order of accuracy sequential type rational splitting of inhomogeneous evolution problem Український математичний вісник |
| author_facet |
Rogava, J. Tsiklauri, M. |
| author_sort |
Rogava, J. |
| title |
The fourth order of accuracy sequential type rational splitting of inhomogeneous evolution problem |
| title_short |
The fourth order of accuracy sequential type rational splitting of inhomogeneous evolution problem |
| title_full |
The fourth order of accuracy sequential type rational splitting of inhomogeneous evolution problem |
| title_fullStr |
The fourth order of accuracy sequential type rational splitting of inhomogeneous evolution problem |
| title_full_unstemmed |
The fourth order of accuracy sequential type rational splitting of inhomogeneous evolution problem |
| title_sort |
fourth order of accuracy sequential type rational splitting of inhomogeneous evolution problem |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/124365 |
| citation_txt |
The fourth order of accuracy sequential type rational splitting of inhomogeneous evolution problem / J. Rogava, M. Tsiklauri // Український математичний вісник. — 2009. — Т. 6, № 3. — С. 385-399. — Бібліогр.: 14 назв. — англ. |
| series |
Український математичний вісник |
| work_keys_str_mv |
AT rogavaj thefourthorderofaccuracysequentialtyperationalsplittingofinhomogeneousevolutionproblem AT tsiklaurim thefourthorderofaccuracysequentialtyperationalsplittingofinhomogeneousevolutionproblem AT rogavaj fourthorderofaccuracysequentialtyperationalsplittingofinhomogeneousevolutionproblem AT tsiklaurim fourthorderofaccuracysequentialtyperationalsplittingofinhomogeneousevolutionproblem |
| first_indexed |
2023-10-18T20:46:16Z |
| last_indexed |
2023-10-18T20:46:16Z |
| _version_ |
1796151065335300096 |