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

S. B. Sorokin

doi:10.1134/S1990478919040185

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

S. B. Sorokin

Computational Mathematics Section

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	759-770
Number of pages	12
Journal	Journal of Applied and Industrial Mathematics
Volume	13
Issue number	4
DOIs	https://doi.org/10.1134/S1990478919040185
Publication status	Published - 1 Oct 2019

Keywords

Cauchy problem
difference scheme
elliptic equation
implicit two-layer iterative method
inverse problem
variable separation method

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10.1134/S1990478919040185

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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.",

keywords = "Cauchy problem, difference scheme, elliptic equation, implicit two-layer iterative method, inverse problem, variable separation method",

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KW - difference scheme

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KW - implicit two-layer iterative method

KW - inverse problem

KW - variable separation method

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