Geodesic
Optimal Recovery Methods Exact on Trigonometric Polynomials for the Solution of the Heat Equation
Matematičeskie zametki, Tome 113 (2023) no. 1, pp. 118-131

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We consider the problem of the optimal recovery of solutions of the heat equation on the torus $\mathbb T$ from a finite set of inaccurate Fourier coefficients of the initial temperature. In addition, accuracy conditions on subspaces of trigonometric polynomials of fixed degree are imposed on these methods.
Keywords: optimal recovery, heat equation, trigonometric polynomials.
Mots-clés : Fourier transform 
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     author = {S. A. Unuchek},
     title = {Optimal {Recovery} {Methods} {Exact} on {Trigonometric} {Polynomials} for the {Solution} of the {Heat} {Equation}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
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     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2023_113_1_a9/}
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S. A. Unuchek. Optimal Recovery Methods Exact on Trigonometric Polynomials for the Solution of the Heat Equation. Matematičeskie zametki, Tome 113 (2023) no. 1, pp. 118-131. http://geodesic.mathdoc.fr/item/MZM_2023_113_1_a9/