Classification of difference schemes of gas dynamics by the method of differential approximation. II. Two-dimensional case
type: Item
instance of: scholarly article
title: Classification of difference schemes of gas dynamics by the method of differential approximation. II. Two-dimensional case
zbMATH Open document ID: 0574.76066
DOI: 10.1016/0045-7930(84)90017-3
author: N. N. Yanenko
author: L. A. Kompaniets
author: Zinaida I. Fedotova
author: Yuri I. Shokin
published in: Computers and Fluids
publication date: 1984-01-01T00:00:00Z
review text: [For part I see: the first two authors, \textit{L. A. Tusheva} and the fourth author, ibid. 11, 187-206 (1983; Zbl 0511.76064).] The authors introduce a classification of finite-difference approximations according to stability, accuracy dispersion, and dissipation for the conservation equations of gasdynamics. The work represents a very useful survey. Unfortunately, some of the tables given are almost impossible to read.
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3917971
zbMATH Keywords: classification of finite-difference approximations
zbMATH Keywords: stability
zbMATH Keywords: accuracy dispersion
zbMATH Keywords: dissipation
zbMATH Keywords: conservation equations of gasdynamics
MaRDI profile type: Publication
full work available at URL: 0045-7930(84)90017-3
OpenAlex ID: W4239860631
cites work: Classification of difference schemes of gas dynamics by the method of differential approximation. I. One-dimensional case
cites work: Weak solutions of nonlinear hyperbolic equations and their numerical computation
cites work: Symmetric hyperbolic linear differential equations
cites work: Difference schemes for hyperbolic equations with high order of accuracy
cites work: Accurate partial difference methods. II: Non-linear problems
cites work: Numerical stabilizers and computing time for second-order accurate schemes
cites work: Finite-Difference Methods for Nonlinear Hyperbolic Systems
cites work: Q5602694
cites work: Phase error and stability of second order methods for hyperbolic problems. I
cites work: A note on the leap-frog scheme in two and three dimensions
cites work: On difference schemes of third order accuracy for nonlinear hyperbolic systems
cites work: Q3208030
cites work: Third order difference methods for hyperbolic equations
cites work: Higher Order Accuracy Finite Difference Algorithms for Quasi-Linear, Conservation Law Hyperbolic Systems
cites work: On a group classification of difference schemes for the system of equations of gas dynamics
cites work: Q3196703
cites work: A computational scheme for two-dimensional non stationary problems of gas dynamics and calculation of the flow from a shock wave approaching a stationary state
cites work: Stability of Richtmyer Type Difference Schemes in any Finite Number of Space Variables and Their Comparison with Multistep Strang Schemes
cites work: Second- and Third-Order Noncentered Difference Schemes for Nonlinear Hyperbolic Equations
cites work: On two step Lax-Wendroff methods in several dimensions
cites work: Symmetric hyperbolic difference schemes and matrix problems
cites work: Symmetrization of the Fluid Dynamic Matrices with Applications
description: scientific article; zbMATH DE number 3917971