Estimation of the global discretization error in shooting methods for linear boundary value problems
type: Item
instance of: scholarly article
title: Estimation of the global discretization error in shooting methods for linear boundary value problems
zbMATH Open document ID: 0686.65047
DOI: 10.1016/0377-0427(89)90342-7
author: G. Gheri
author: P. Marzulli
published in: Journal of Computational and Applied Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The authors estimate the error in applying shooting to a boundary value problem for a linear first order system of ordinary differential equations in terms of the solution of the single system representing the error in the approximate solution. Four numerical examples are given.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 4124922
zbMATH Keywords: shooting method
zbMATH Keywords: global error estimation
zbMATH Keywords: linear first order system
zbMATH Keywords: numerical examples
reviewed by: J. D. P. Donnelly
MaRDI profile type: Publication
full work available at URL: 0377-0427(89)90342-7
OpenAlex ID: W2073556751
cites work: Q4725642
cites work: Q3033239
cites work: Q5719651
cites work: Q5559978
cites work: Estimates for the errors in the solutions of linear boundary value problems, due to perturbations
cites work: Decoupling and Stability of Algorithms for Boundary Value Problems
cites work: Q4072747
cites work: Q3949898
cites work: Numerical error bounds for fourth order boundary value problems, simultaneous estimation of u(x) and u''(x)
cites work: Asymptotic bounds on the errors of one-step methods
cites work: Thirteen ways to estimate global error
cites work: Local Estimation of the Global Discretization Error
description: scientific article; zbMATH DE number 4124922