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An Implicit Iterative Method for Numerical Solution of the Cauchy Problem for Elliptic Equations

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Abstract

We propose and study some implicit gradient two-layer iterative method for numerical solution of the Cauchy problem for elliptic equations. The results of computational experiments are presented.

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Author information

Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russia

    S. B. Sorokin

  2. Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090, Russia

    S. B. Sorokin

Authors
  1. S. B. Sorokin
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Correspondence to S. B. Sorokin.

Additional information

Russian Text © The Author(s), 2019, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2019, Vol. XXII, No. 4, pp. 95–106.

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Sorokin, S.B. An Implicit Iterative Method for Numerical Solution of the Cauchy Problem for Elliptic Equations. J. Appl. Ind. Math. 13, 759–770 (2019). https://doi.org/10.1134/S1990478919040185

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  • DOI: https://doi.org/10.1134/S1990478919040185

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