Cover Image

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...

Full description

Saved in:
Bibliographic Details
Date:2016
Author Affiliations:
  • В. Б. Василик — Інститут математики НАН України
  • В. Л. Макаров — Інститут математики НАН України
  • Д. О. Ситник — Інститут математики НАН України
Keywords:keywords
Main Authors: 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: Article
Language:Ukrainian
Published: Інститут математики НАН України 2016
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/31
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
Download file: Pdf

Institution

Transactions of Institute of Mathematics of NAS of Ukraine
Description
Summary: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.

Similar Items