A criterion for asymptotic preserving schemes of kinetic equations to be uniformly stationary preserving
From MaRDI portal
Publication:2063742
DOI10.3934/krm.2021026zbMath1476.65205OpenAlexW3195295681MaRDI QIDQ2063742
Publication date: 3 January 2022
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/krm.2021026
Boltzmann equationpenalization methodasymptotic preservingneutron transport equationchemotaxis kinetic modelparity based schemesstationary preservingUGKS
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Boltzmann equations (35Q20)
Related Items
A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers ⋮ Small collaboration: Modeling phenomena from nature by hyperbolic partial differential equations. Abstracts from the small collaboration held April 11--17, 2021 (hybrid meeting)
Cites Work
- Unnamed Item
- On the asymptotic preserving property of the unified gas kinetic scheme for the diffusion limit of linear kinetic models
- Drift-diffusion limits of kinetic models for chemotaxis: a generalization
- Models of dispersal in biological systems
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
- Biased random walk models for chemotaxis and related diffusion approximations
- The Boltzmann equation and its applications
- An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations
- An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II
- Asymptotic-preserving and well-balanced schemes for radiative transfer and the Rosseland approximation
- Kinetic models for chemotaxis and their drift-diffusion limits
- A fast spectral algorithm for the quantum Boltzmann collision operator
- A well-balanced scheme for kinetic models of chemotaxis derived from one-dimensional local forward-backward problems
- A uniformly second order numerical method for the one-dimensional discrete-ordinate transport equation and its diffusion limit with interface
- On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws
- A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
- A unified gas-kinetic scheme for continuum and rarefied flows
- The Diffusion Limit of Transport Equations II: Chemotaxis Equations
- Solving the Boltzmann Equation in N log2N
- Space Localization and Well-Balanced Schemes for Discrete Kinetic Models in Diffusive Regimes
- Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
- Asymptotic-preserving well-balanced scheme for the electronic M1 model in the diffusive limit: Particular cases
- Equilibrium schemes for scalar conservation laws with stiff sources
- An Asymptotic Preserving Scheme for the Diffusive Limit of Kinetic Systems for Chemotaxis
- Implicit-Explicit Linear Multistep Methods for Stiff Kinetic Equations
- A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method
