Uniformly convergent finite difference methods for singularly perturbed problems with turning points
type: Item
instance of: scholarly article
title: Uniformly convergent finite difference methods for singularly perturbed problems with turning points
zbMATH Open document ID: 0790.65074
DOI: 10.1007/BF02145752
author: C. Clavero
author: Francisco Lisbona
published in: Numerical Algorithms
publication date: 1993-07-18T00:00:00Z
review text: A family of finite difference schemes including the upwind method, Samarskij's method and exponential fitting type methods are studied for finding the approximate solution of one-dimensional singular perturbation problems with turning points. Uniform convergence of the upwind method on irregular meshes is established. Many examples are given to illustrate the efficiency of the proposed methods.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 202480
zbMATH Keywords: exponential fitting methods
zbMATH Keywords: uniform convergence
zbMATH Keywords: finite difference schemes
zbMATH Keywords: upwind method
zbMATH Keywords: Samarskij's method
zbMATH Keywords: singular perturbation
zbMATH Keywords: turning points
reviewed by: Muhammad Aslam Noor
MaRDI profile type: Publication
cites work: A Priori Estimates for Solutions of Singular Perturbations with a Turning Point
cites work: Q5558293
cites work: A Conservative Uniformly Accurate Difference Method for a Singular Perturbation Problem in Conservation Form
cites work: A Priori Estimates and Analysis of a Numerical Method for a Turning Point Problem
cites work: Sufficient Conditions for the Uniform Convergence of a Difference Scheme for a Singularly Perturbed Turning Point Problem
cites work: Q4203740
cites work: Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
cites work: Q3826046
cites work: Q3806713
cites work: Q5652137
cites work: \(L^ 1\) and \(L^{\infty}\) uniform convergence of a difference scheme for a semilinear singular perturbation problem
cites work: Continuous and numerical analysis of a boundary shock problem
cites work: On Selection of Equidistributing Meshes for Two-Point Boundary-Value Problems
full work available at URL: https://doi.org/10.1007/bf02145752
OpenAlex ID: W1977084360
description: scientific article; zbMATH DE number 202480