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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Published in:Moscow University computational mathematics and cybernetics 2011-03, Vol.35 (1), p.6-13
Main Authors: Gulin, A. V., Mokin, A. Yu
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Language:English
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Mathematics
Mathematics and Statistics
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description 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.
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1934-8428
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subjects Mathematics
Mathematics and Statistics
title Uniform stability of a one-parameter family of difference schemes
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