Email this article Stability of Finite-Difference Problems with Nonreflecting Boundary Conditions
- Authors: Dorodnitsyn L.V.1
-
Affiliations:
- Faculty of Computational Mathematics and Cybernetics, Moscow State University
- Issue: Vol 27, No 2 (2016)
- Pages: 270-274
- Section: Article
- URL: https://ogarev-online.ru/1046-283X/article/view/247510
- DOI: https://doi.org/10.1007/s10598-016-9320-7
- ID: 247510
Cite item
Open Access
Access granted
Subscription Access
Abstract
The article considers a three-point central-difference scheme for the transfer equation, with different kinds of special boundary conditions that reduce wave reflection from artificial boundaries. For the corresponding problems, we prove stability in grid energy norms analogous to the ordinary L2-norm or the differential (Sobolev) norm.
About the authors
L. V. Dorodnitsyn
Faculty of Computational Mathematics and Cybernetics, Moscow State University
Author for correspondence.
Email: dorodn@cs.msu.su
Russian Federation, Moscow
Supplementary files
