A Hybrid Finite Volume Method for Advection Equations and Its Applications in Population Dynamics

DOI10.1002/num.22134zbMath1371.65094arXiv1506.00197OpenAlexW2964111118MaRDI QIDQ5349265

Chang Yang, Leon Matar Tine

Publication date: 24 August 2017

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00197

zbMATH Keywords

stabilitynumerical examplespopulation dynamicsanti-diffusive methoddiscontinuity detectormass preservationlong term asymptotic behaviorRunge-Kutta time discretization: finite volume schemetransport type-equation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial value problems for first-order hyperbolic equations (35L03)

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