Construction of high-order accurate difference schemes for hyperbolic equations
type: Item
instance of: scholarly article
title: Construction of high-order accurate difference schemes for hyperbolic equations
zbMATH Open document ID: 0951.65075
author: V. G. Krupa
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-07-02T00:00:00Z
review text: The author constructs third-order accurate finite difference schemes for the Euler equations. The basic idea of the construction is illustrated by considering a linear transport equation. The approximations of the spatial derivative constructed on a seven-point stencil depend on three functions, which are determined by monotonicity conditions. Results are calculated for the two-dimensional Navier-Stokes equations.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35L45
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 1467856
zbMATH Keywords: hyperbolic equations
zbMATH Keywords: error bounds
zbMATH Keywords: difference scheme
zbMATH Keywords: Euler equations
zbMATH Keywords: linear transport equation
zbMATH Keywords: monotonicity conditions
zbMATH Keywords: Navier-Stokes equations
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1467856