Estimating the global error in the Störmer method
type: Item
instance of: scholarly article
title: Estimating the global error in the Störmer method
zbMATH Open document ID: 1034.65057
author: N. D. Zolotareva
published in: Moscow University Computational Mathematics and Cybernetics
publication date: 2003-02-17T00:00:00Z
review text: For the initial value problem \[ y''=f(x,y), \quad 0\leq x\leq X_0, \quad y(0)=y_0, \quad y'(0)=y'_0 \] the author considers Störmer's method of its numerical solution, and proposes an estimation of the goal error. In contradiction to the coordinate-wise estimation, this method does not lead to the exponential estimation growth (''Moore's effect'') when \(x\) increases.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 1869263
zbMATH Keywords: Moore's effect
zbMATH Keywords: Störmer's method
zbMATH Keywords: error bound
zbMATH Keywords: initial value problem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1869263