Order of convergence of second order schemes based on the minmod limiter

DOI10.1090/S0025-5718-06-01875-8zbMath1117.65122MaRDI QIDQ3420230

Bojan Popov, Ognian Trifonov

Publication date: 1 February 2007

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

zbMATH Keywords

convergenceConservation lawsError estimatesMinmod limiterSecond order schemes

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

On the convergence of finite difference methods for PDE under temporal refinement ⋮ Verification of fluid-dynamic codes in the presence of shocks and other discontinuities ⋮ One-sided stability and convergence of the Nessyahu-Tadmor scheme ⋮ Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations ⋮ Conservative Upwind Correction Method for Scalar Linear Hyperbolic Equations

Cites Work

• Numerical experiments on the accuracy of ENO and modified ENO schemes
• Non-oscillatory central differencing for hyperbolic conservation laws
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Besov spaces and applications to difference methods for initial value problems
• New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• The Discrete One-Sided Lipschitz Condition for Convex Scalar Conservation Laws
• A Geometric Approach to High Resolution TVD Schemes
• Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
• High-Resolution Nonoscillatory Central Schemes with Nonstaggered Grids for Hyperbolic Conservation Laws
• The Optimal Convergence Rate of Monotone Finite Difference Methods for Hyperbolic Conservation Laws
• On Convergence of Minmod-Type Schemes
• The Sharpness of Kuznetsov's O(√Δx)L 1 -Error Estimate for Monotone Difference Schemes
• Systems of conservation laws
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Unnamed Item
• Unnamed Item

This page was built for publication: Order of convergence of second order schemes based on the minmod limiter