Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data

DOI10.1007/s00028-011-0106-2zbMath1236.65117OpenAlexW2022314932WikidataQ57964604 ScholiaQ57964604MaRDI QIDQ657039

Robert Eymard, Alain Prignet, François Bouchut

Publication date: 13 January 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-011-0106-2

zbMATH Keywords

convergencenumerical examplesfinite volume schemesRadon measureconvection equationapproximation of the transport of measurescompression estimatesdiscrete Sobolev inequalitiesLipschitz flowsweak BV estimates

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for first-order hyperbolic systems (35L45) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (5)

Numerical methods for piecewise deterministic Markov processes with boundary ⋮ A note on the Sobolev and Gagliardo-Nirenberg inequality when \(p > N \) ⋮ Convergence order of upwind type schemes for transport equations with discontinuous coefficients ⋮ On the $$L^2$$ Stability of Finite Volumes for Stationary First Order Systems ⋮ A directional Lipschitz extension lemma, with applications to uniqueness and Lagrangianity for the continuity equation

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