On the total variation of high-order semi-discrete central schemes for conservation laws

DOI10.1007/S10915-005-9046-8zbMath1100.76040OpenAlexW2145625805MaRDI QIDQ2502086

Doron Levy, Steve Bryson

Publication date: 12 September 2006

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-005-9046-8

zbMATH Keywords

Runge-Kutta methodfifth-order WENO reconstruction

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)

Related Items (5)

High-order finite volume shallow water model on the cubed-sphere: 1D reconstruction scheme ⋮ Linear high-resolution schemes for hyperbolic conservation laws: TVB numerical evidence ⋮ An efficient TVD-WENO method for conservation laws ⋮ On the total variation of a third-order semi-discrete central scheme for 1D conservation laws ⋮ Adaptive multi-resolution central-upwind schemes for systems of conservation laws

Cites Work

• Unnamed Item
• Non-oscillatory central differencing for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Weighted essentially non-oscillatory schemes
• On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes
• Efficient implementation of weighted ENO schemes
• A third order central WENO scheme for 2D conservation laws
• New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• Strong Stability-Preserving High-Order Time Discretization Methods
• A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations
• Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
• Central WENO schemes for hyperbolic systems of conservation laws
• Compact Central WENO Schemes for Multidimensional Conservation Laws
• A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws
• A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
• Weak solutions of nonlinear hyperbolic equations and their numerical computation
• A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems

This page was built for publication: On the total variation of high-order semi-discrete central schemes for conservation laws