A Numerical Method for Transport Equations with Discontinuous Flux Functions: Application to Mathematical Modeling of Cell Dynamics

DOI10.1137/120904238zbMath1285.65057OpenAlexW2003651542MaRDI QIDQ5404600

Marie Postel, Frédéric Coquel, Benjamin Aymard, Frédérique Clément

Publication date: 28 March 2014

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

Full work available at URL: https://doi.org/10.1137/120904238

zbMATH Keywords

convergencenumerical examplesdiscontinuous coefficientskinetic equationsfinite volumescell dynamicstransport-like equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs with low regular coefficients and/or low regular data (35R05) Initial-boundary value problems for first-order hyperbolic systems (35L50) Cell movement (chemotaxis, etc.) (92C17) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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