Asymptotic-preserving and well-balanced schemes for the 1D Cattaneo model of chemotaxis movement in both hyperbolic and diffusive regimes
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Publication:663648
DOI10.1016/j.jmaa.2011.10.039zbMath1239.65057OpenAlexW2025784686MaRDI QIDQ663648
Publication date: 27 February 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.10.039
chemotaxis modelingdiscrete velocity kinetic modelnon-conservative productsAP schemequasi-monotone source termWB scheme
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hyperbolic equations and hyperbolic systems (35L99)
Related Items (16)
A well-balanced finite volume scheme for a mixed hyperbolic/parabolic system to model chemotaxis ⋮ Hydrodynamic singular regimes in \(1+1\) kinetic models and spectral numerical methods ⋮ Finite volume scheme with local high order discretization of the hydrostatic equilibrium for the Euler equations with external forces ⋮ Nonlinear flux-limited models for chemotaxis on networks ⋮ Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy ⋮ A survey on well-balanced and asymptotic preserving schemes for hyperbolic models for chemotaxis ⋮ Some examples of kinetic schemes whose diffusion limit is Il'in's exponential-fitting ⋮ Stationarity preserving schemes for multi-dimensional linear systems ⋮ About the kinetic description of fractional diffusion equations modeling chemotaxis ⋮ Numerical High-Field Limits in Two-Stream Kinetic Models and 1D Aggregation Equations ⋮ Confinement by biased velocity jumps: aggregation of \textit{Escherichia coli} ⋮ Kinetic and related macroscopic models for chemotaxis on networks ⋮ Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis ⋮ Numerical Methods for One-Dimensional Aggregation Equations ⋮ High-Order Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations With Nonlocal Free Energy ⋮ A well-balanced scheme able to cope with hydrodynamic limits for linear kinetic models
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