A stable marching difference scheme for an ill-posed Cauchy problem for the three-dimensional Laplace equation
type: Item
instance of: scholarly article
title: A stable marching difference scheme for an ill-posed Cauchy problem for the three-dimensional Laplace equation
zbMATH Open document ID: 1022.65089
author: Pham Minh Hien
published in: Vietnam Journal of Mathematics
publication date: 2003-05-15T00:00:00Z
review text: Some stability estimates of Hölder type are proved for the solution (and all of its derivatives) of an ill-posed Cauchy problem for the three-dimensional Laplace equation. A marching difference scheme is proposed for solving the problem in a stable way.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M30
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35R25
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1885678
zbMATH Keywords: marching difference scheme
zbMATH Keywords: ill-posed Cauchy problem
zbMATH Keywords: three-dimensional Laplace equation
zbMATH Keywords: stability
reviewed by: Leonid B. Chubarov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1885678