A method of numerical integration for a system of ordinary differential equations with the use of the Hermitian interpolating polynomials
type: Item
instance of: scholarly article
title: A method of numerical integration for a system of ordinary differential equations with the use of the Hermitian interpolating polynomials
zbMATH Open document ID: 0969.65064
author: S. M. Aul'chenko
author: A. F. Latypov
author: Yu. V. Nikulichev
published in: Computational Mathematics and Mathematical Physics
publication date: 2001-09-25T00:00:00Z
review text: The authors suggest a method of numerical integration for a system of ordinary differential equations. The method is based on the representation of the right-hand sides of the differential equation in terms of Hermitian interpolating polynomials, is A-stable, and is characterized by a local error of the seventh order with respect to the integration step. The results of calculations for some known test problems are reported; algorithmic methods are described that make it possible to write a program for integrating a system of ordinary differential equations with discontinuous right-hand sides.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34-04
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 1472991
zbMATH Keywords: A-stability
zbMATH Keywords: error bound
zbMATH Keywords: numerical examples
zbMATH Keywords: system
zbMATH Keywords: Hermitian interpolating polynomials
zbMATH Keywords: test problem
zbMATH Keywords: discontinuous right-hand sides
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1472991