On the convergence of high resolution methods with multiple time scales for hyperbolic conservation laws

DOI10.1090/S0025-5718-02-01469-2zbMath1018.65112OpenAlexW2074586249MaRDI QIDQ4806385

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Publication date: 14 May 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-02-01469-2

zbMATH Keywords

convergenceentropy solutionfinite volume methodshyperbolic conservation lawsmultiple time scalesconvex fluxhigh-resolution schemestotal variation diminishing propertyTVD property

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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Cites Work

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• Adaptive mesh refinement for hyperbolic partial differential equations
• High resolution schemes for hyperbolic conservation laws
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• High Resolution Schemes for Conservation Laws with Locally Varying Time Steps
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Numerical Approximations to Nonlinear Conservation Laws with Locally Varying Time and Space Grids
• Riemann Solvers, the Entropy Condition, and Difference
• Convergence of Generalized MUSCL Schemes
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• High resolution upwind‐mixed finite element methods for advection‐diffusion equations with variable time‐stepping