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A numerical method for transport equations with discontinuous flux functions: application to mathematical modeling of cell dynamics. (English) Zbl 1285.65057

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