Finite-difference approximations for singularly perturbed elliptic equations
type: Item
instance of: scholarly article
title: Finite-difference approximations for singularly perturbed elliptic equations
zbMATH Open document ID: 0971.65094
author: G. I. Shishkin
published in: Computational Mathematics and Mathematical Physics
publication date: 2001-10-26T00:00:00Z
review text: The author considers the finite-difference approximations of an increased order of accuracy on a strip for singularly perturbed elliptic equations with convective terms. The highest-order derivatives contained in the equations are multiplied by a small parameter. Difference schemes that are uniformly convergent with respect to the parameter with an order of accuracy close to two are constructed on special piecewise uniform grids.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1473028
zbMATH Keywords: elliptic equations
zbMATH Keywords: singularly perturbation
zbMATH Keywords: finite difference schemes
zbMATH Keywords: small parameter
zbMATH Keywords: Shishkin grid
zbMATH Keywords: convergence
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1473028