The convergence of a completely conservative difference scheme for gas- dynamic equations in Euler variables
type: Item
instance of: scholarly article
title: The convergence of a completely conservative difference scheme for gas- dynamic equations in Euler variables
zbMATH Open document ID: 0782.76069
author: G. Tsertsvadze
published in: Computational Mathematics and Mathematical Physics
publication date: 1993-09-06T00:00:00Z
review text: Initial-value problem for one-dimensional Euler equations with a source term is considered. The second-order completely conservative scheme is introduced. The following results are presented: (1) the proof of the existence and uniqueness of its solution; (2) the energetic inequality for the estimate for the error of the method; (3) the proof of the second-order convergence in \(L_ 2\) norm of the difference solution to the exact one. The rate of convergence is illustrated by a numerical example.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 205012
zbMATH Keywords: error estimation
zbMATH Keywords: Euler equations
zbMATH Keywords: source term
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: energetic inequality
zbMATH Keywords: second-order convergence
reviewed by: A. I. Tolstykh
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 205012