The problem of checking and correction of numerical results for differential equations, and methods for its solution
type: Item
instance of: scholarly article
title: The problem of checking and correction of numerical results for differential equations, and methods for its solution
zbMATH Open document ID: 1024.65073
author: Yu. G. Bulychev
author: I. V. Burlai
published in: Computational Mathematics and Mathematical Physics
publication date: 2003-06-29T00:00:00Z
review text: This paper is devoted to the problem of checking and correction of numerical results for differential equations. Various errors arising in the course of numerical integration in an actual computing environment are taken into account. The invariants and \(\varepsilon\) invariants corresponding to the problem under study are used to develop efficient methods for checking and correcting numerical results.
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 1940605
zbMATH Keywords: error checking
zbMATH Keywords: Cauchy problem
zbMATH Keywords: numerical results
zbMATH Keywords: error correcting
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1940605