Approximate solution of hyperbolic conservation laws by discrete mollification

DOI10.1016/J.APNUM.2008.12.015zbMath1169.65082OpenAlexW2024095592MaRDI QIDQ1030790

Carlos D. Acosta, Carlos E. Mejía

Publication date: 2 July 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.12.015

zbMATH Keywords

shockconservation lawsnon-oscillatory solutionsstabilizationnumerical experimentsmollificationexplicite scheme

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (5)

A mollified marching solution of an inverse ablation-type moving boundary problem ⋮ Numerical identification of a nonlinear diffusion coefficient by discrete mollification ⋮ A mollification based operator splitting method for convection diffusion equations ⋮ Monotone difference schemes stabilized by discrete mollification for strongly degenerate parabolic equations ⋮ Estimation of unknown boundary functions in an inverse heat conduction problem using a mollified marching scheme

Cites Work

• Unnamed Item
• Non-oscillatory central differencing for hyperbolic conservation laws
• Stabilization of explicit methods for convection diffusion equations by discrete mollification
• A study of numerical methods for hyperbolic conservation laws with stiff source terms
• A new smoothness indicator for the WENO schemes and its effect on the convergence to steady state solutions

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