Discretization of the solutions of the heat equation

DOI10.1134/S000143460707019XzbMath1219.35011MaRDI QIDQ635554

Sh. Azhgaliev

Publication date: 20 August 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

heat equationCauchy problemdiscretization errorFourier-Lebesgue trigonometric coefficientsSchmidt orthogonalization methodSobolev function classes

Mathematics Subject Classification ID

Heat equation (35K05) Theoretical approximation in context of PDEs (35A35) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (4)

Optimal recovery of functions from numerical information on them and limiting error of the optimal computing unit ⋮ On the sharp order of informativeness of all possible linear functionals in the discretization of solutions of the wave equation ⋮ On optimal discretization of solutions of the heat equation and the limit error of the optimum computing unit ⋮ Exact orders of computational (numerical) diameters in problems of reconstructing functions and sampling solutions of the Klein-Gordon equation from Fourier coefficients

Cites Work

• Applications of Number Theory to Numerical Analysis
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