A parallel numerical method for abstract final value problem based on nonlocal regularization
We consider a final value problem for the first order differential equation with unbounded operator coefficient in Banach space. The given problem is regularized by the two-point non-local condition with parameter. An exponentially convergent numerical method is, then, constructed and justified for...
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| Дата: | 2016 |
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| Автори та афіліації: |
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| Ключові слова: | keywords |
| Автори: | , , , , , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Інститут математики НАН України
2016
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| Онлайн доступ: | https://trim.imath.kiev.ua/index.php/trim/article/view/31 |
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| Назва журналу: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Репозитарії
Transactions of Institute of Mathematics of NAS of Ukraine| Резюме: | We consider a final value problem for the first order differential equation with unbounded operator coefficient in Banach space. The given problem is regularized by the two-point non-local condition with parameter. An exponentially convergent numerical method is, then, constructed and justified for the solution of the regularized problem. Software implementation of the method admits multilevel parallelizitation of computations. |
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