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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2007 Volume 82, Issue 2, Pages 177–182 (Mi mzm3789)

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


 English version:
Mathematical Notes, 2007, 82:2, 153–158

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© Steklov Math. Inst. of RAS, 2024