Uniform stability of a one-parameter family of difference schemes

We consider a difference scheme with weights approximating the nonlocal boundary value problem for a heat equation with a parameter in the boundary conditions. We prove uniform (in parameter) estimates of the solution scheme that demonstrate the consistency of the initial data in the mean-square nor...

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Bibliographic Details
Published in:Moscow University computational mathematics and cybernetics 2011-03, Vol.35 (1), p.6-13
Main Authors: Gulin, A. V., Mokin, A. Yu
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:We consider a difference scheme with weights approximating the nonlocal boundary value problem for a heat equation with a parameter in the boundary conditions. We prove uniform (in parameter) estimates of the solution scheme that demonstrate the consistency of the initial data in the mean-square norm.
ISSN:0278-6419
1934-8428
DOI:10.3103/S0278641910041028