Entropy-TVD scheme for nonlinear scalar conservation laws

DOI10.1007/S10915-010-9431-9zbMath1217.65170OpenAlexW1982654496MaRDI QIDQ540543

De-Kang Mao, Rong-San Chen

Publication date: 3 June 2011

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

Full work available at URL: https://doi.org/10.1007/s10915-010-9431-9

zbMATH Keywords

convergencenumerical examplestruncation errornonlinear scalar conservation lawsentropy decreaseentropy-total variation diminishing (TVD) schemeessentially nonoscillatory schemenumerical entropystep-reconstruction

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)

Related Items (5)

Sign stable arbitrary high order reconstructions for constructing non-oscillatory entropy stable schemes ⋮ Entropy stable non-oscillatory fluxes: an optimized wedding of entropy conservative flux with non-oscillatory flux ⋮ Entropy-TVD scheme for the shallow water equations in one dimension ⋮ Entropy schemes for one-dimensional convection-diffusion equations ⋮ Suitable diffusion for constructing non-oscillatory entropy stable schemes

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