Construction of monotone difference schemes for systems of hyperbolic equations

DOI10.1134/S0965542518080110zbMath1407.65110OpenAlexW2892428537MaRDI QIDQ1755600

Ya. A. Kholodov, I. V. Tsybulin, A. S. Kholodov

Publication date: 10 January 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518080110

zbMATH Keywords

difference schemeshyperbolic equationshigh-order difference schemesmonotonicity criteria for difference schemes

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) First-order hyperbolic equations (35L02)

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Cites Work

• High resolution schemes for hyperbolic conservation laws
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Advanced numerical approximation of nonlinear hyperbolic equations. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Cetraro, Italy, June 23--28, 1997
• Regularization of discontinuous numerical solutions of equations of hyperbolic type
• Construction of difference schemes with positive approximation for hyperbolic equations
• The construction of difference schemes of increased order of accuracy for equations of hyperbolic type
• Upwind Second-Order Difference Schemes and Applications in Aerodynamic Flows
• The application of difference schemes of high accuracy to the numerical solution of hyperbolic equations
• Systems of conservation laws
• The construction of difference schemes for hyperbolic equations based on characteristic relations
• On the solution of nonlinear hyperbolic differential equations by finite differences
• Weak solutions of nonlinear hyperbolic equations and their numerical computation
• Symmetric hyperbolic linear differential equations
• Monotonicity criteria for difference schemes designed for hyperbolic equations
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