Editorial: Preface to the special issue ``Recent advances in numerical methods for hyperbolic partial differential equations

DOI10.1016/j.amc.2015.11.023zbMath1409.00105OpenAlexW2288270284MaRDI QIDQ668360

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Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.11.023

Mathematics Subject Classification ID

Collections of articles of miscellaneous specific interest (00B15) Proceedings, conferences, collections, etc. pertaining to numerical analysis (65-06) Proceedings, conferences, collections, etc. pertaining to fluid mechanics (76-06)

Uses Software

• FS3D

Cites Work

• A positivity preserving and well-balanced DG scheme using finite volume subcells in almost dry regions
• Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable
• A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations
• A space-time discontinuous Galerkin method for Boussinesq-type equations
• A HLLC scheme for Ripa model
• Roe-type schemes for shallow water magnetohydrodynamics with hyperbolic divergence cleaning
• Handling the divergence constraints in Maxwell and Vlasov-Maxwell simulations
• Direct numerical simulations for multiphase flows: an overview of the multiphase code FS3D
• Brain venous haemodynamics, neurological diseases and mathematical modelling. A review
• Approximate Osher-Solomon Schemes for Hyperbolic Systems

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