A numerical solution method for the Cauchy problem for elliptic equations
type: Item
instance of: scholarly article
title: A numerical solution method for the Cauchy problem for elliptic equations
zbMATH Open document ID: 0553.65061
author: P. N. Vabishchevich
author: P. A. Pulatov
published in: Moscow University Computational Mathematics and Cybernetics
publication date: 1984-01-01T00:00:00Z
review text: The authors give a solution algorithm for the incorrectly posed Cauchy problem for elliptic equations. It is based on a replacement of the initial conditions by nonlocal ones. By approximating the problem with nonlocal boundary conditions, a difference problem is obtained, that is solved by direct methods. The regularizing property of the algorithm is proved.
Mathematics Subject Classification ID: 65M30
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35R25
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 3881810
zbMATH Keywords: Laplace-equation
zbMATH Keywords: regularization method
zbMATH Keywords: incorrectly posed Cauchy problem
zbMATH Keywords: nonlocal boundary conditions
zbMATH Keywords: direct methods
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3881810