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This article is cited in 4 scientific papers (total in 4 papers)
An implicit iterative method for numerical solution
of the Cauchy problem for elliptic equations
S. B. Sorokinab a Institute of Computational Mathematics and Mathematical Geophysics SB RAS,
pr. Akad. Lavrentyeva 6,
630090 Novosibirsk
b Novosibirsk State University,
ul. Pirogova 1,
630090 Novosibirsk
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.
Keywords:
inverse problem, Cauchy problem, elliptic equations, implicit
two-layer iterative method, difference scheme, variable separation method.
Received: 01.08.2019 Revised: 01.08.2019 Accepted: 05.09.2019
Citation:
S. B. Sorokin, “An implicit iterative method for numerical solution
of the Cauchy problem for elliptic equations”, Sib. Zh. Ind. Mat., 22:4 (2019), 95–106; J. Appl. Industr. Math., 13:4 (2019), 759–770
Linking options:
https://www.mathnet.ru/eng/sjim1069 https://www.mathnet.ru/eng/sjim/v22/i4/p95
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