On difference schemes for differential-algebraic systems
type: Item
instance of: scholarly article
title: On difference schemes for differential-algebraic systems
zbMATH Open document ID: 0969.65080
published in: Computational Mathematics and Mathematical Physics
publication date: 2001-09-25T00:00:00Z
review text: The Cauchy problem for differential-algebraic systems is considered. The concept of an index is introduced to characterize the degree of ill-posedness of such systems. A class of high order accurate difference schemes is proposed to solve this problem numerically. If the input data are given with error, conditions are pointed out with the fulfillment of which the difference schemes proposed appear to be a regularizing operator, the regularization parameter being the step of discretization.
Mathematics Subject Classification ID: 65L80
Mathematics Subject Classification ID: 65L08
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 34A09
zbMATH DE Number: 1472987
zbMATH Keywords: differential-algebraic system
zbMATH Keywords: ill-posed problem
zbMATH Keywords: Cauchy problem
zbMATH Keywords: difference schemes
zbMATH Keywords: regularization
author: Mikhail Valer'yanovich Bulatov
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1472987