High order filtering methods for approximating hyperbolic systems of conservation laws

DOI10.1016/0021-9991(91)90268-PzbMath0746.65070MaRDI QIDQ1175640

F. Lafon, Stanley J. Osher

Publication date: 25 June 1992

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

numerical examplesENO schemesTVD schemefiltering methodspurious oscillationsnonlinear systems of conservation lawsexplicit total variation diminishing Runge-Kutta multistage time discretizationfinite element gridshigh order essentially non-oscillatory spatial discretization

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

Parallel, adaptive finite element methods for conservation laws, Parallel adaptive \(hp\)-refinement techniques for conservation laws, Dynamically Orthogonal Numerical Schemes for Efficient Stochastic Advection and Lagrangian Transport, A subgrid-scale deconvolution approach for shock capturing, Numerical experiments on the accuracy of ENO and modified ENO schemes, From continuous recovery to discrete filtering in numerical approximations of conservation laws

Cites Work

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• Nonlinear Filters for Efficient Shock Computation