Adaptive Spectral Viscosity for Hyperbolic Conservation Laws

DOI10.1137/110836456zbMath1250.65113OpenAlexW2022635343MaRDI QIDQ2904821

Eitan Tadmor, Knut Waagan

Publication date: 23 August 2012

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110836456

zbMATH Keywords

algorithmstabilitynumerical resultsnumerical examplesEuler equationsBurgers' equationRunge-Kutta methodsemidiscretizationnonlinear hyperbolic conservation lawsedge detectionspectral viscosityshock discontinuitiesdissipative regularization

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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