A parallel numerical method for abstract final value problem based on nonlocal regularization

• Datum: 2016
• 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
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

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...