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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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Datum:2016
Автори та афіліації:
  • В. Б. Василик — Інститут математики НАН України
  • В. Л. Макаров — Інститут математики НАН України
  • Д. О. Ситник — Інститут математики НАН України
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Hauptverfasser: Vasylyk, V. B., Makarov, V. L., Sytnik, D. O., Васылык, В. Б., Макаров, В. Л., Сытник, Д. А., Василик, В. Б., Ситник, Д. О.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Інститут математики НАН України 2016
Online Zugang: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
Завантажити файл: Pdf

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Transactions of Institute of Mathematics of NAS of Ukraine
Beschreibung
Zusammenfassung: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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