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Discretization of the solutions to Poisson’s equation

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Abstract

Sharp estimates (in the power scale) are obtained for the discretization error in the solutions to Poisson’s equation whose right-hand side belongs to a Korobov class. Compared to the well-known Korobov estimate, the order is almost doubled and has an ultimate value in the power scale.

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Authors and Affiliations

  1. Eurasian National University, ul. Munaitpasova 5, Astana, 473021, Kazakhstan

    E. A. Bailov & N. Temirgaliev

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  1. E. A. Bailov
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  2. N. Temirgaliev
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Original Russian Text © E.A. Bailov, N. Temirgaliev, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 9, pp. 1594–1604.

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Bailov, E.A., Temirgaliev, N. Discretization of the solutions to Poisson’s equation. Comput. Math. and Math. Phys. 46, 1515–1525 (2006). https://doi.org/10.1134/S0965542506090053

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  • DOI: https://doi.org/10.1134/S0965542506090053

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