S. B. Sorokin, “An implicit iterative method for numerical solution of the Cauchy problem for elliptic equations”, Sib. Zh. Ind. Mat., 2019, Volume 22, Number 4,Pages <nobr>95

This article is cited in 4 papers

An implicit iterative method for numerical solution of the Cauchy problem for elliptic equations

S. B. Sorokin^ab

^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.

UDC: 519.632

Received: 01.08.2019
Revised: 01.08.2019
Accepted: 05.09.2019

DOI: 10.33048/sibjim.2019.22.410