Mat. Zametki, 2007 Volume 82, Issue 2, Pages 177–182
(Mi mzm3789)
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This article is cited in
6 papers
Discretization of the Solutions of the Heat Equation
Sh. U. Azhgaliev L. N. Gumilev Eurasian National University
Abstract:
We obtain the exact order of discretization (reconstruction) errors, given linear information on the solutions of the heat equation.
Keywords:
heat equation, Cauchy problem, discretization error, Sobolev function classes, Fourier–Lebesgue trigonometric coefficients, Schmidt orthogonalization method.
UDC:
517.958 Received: 14.05.2003
DOI:
10.4213/mzm3789
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