A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations
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Publication:5230607
DOI10.1137/18M1196297zbMath1447.65025arXiv1807.06109OpenAlexW2964061021MaRDI QIDQ5230607
M. Paul Laiu, Martin Frank, Cory D. Hauck
Publication date: 28 August 2019
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.06109
finite difference methodsasymptotic-preserving schemesdiffusion limitkinetic transport equationspositive-preserving schemes
Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Transport processes in time-dependent statistical mechanics (82C70) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Nuclear reactor theory; neutron transport (82D75) First-order hyperbolic systems (35L40) Positive solutions to PDEs (35B09) Transport equations (35Q49)
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An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation ⋮ A positive and asymptotic preserving filtered \(P_N\) method for the gray radiative transfer equations ⋮ An asymptotic preserving method for the linear transport equation on general meshes ⋮ An asymptotic-preserving IMEX method for nonlinear radiative transfer equation ⋮ High order asymptotic preserving discontinuous Galerkin methods for gray radiative transfer equations ⋮ Spatial second-order positive and asymptotic preserving unified gas kinetic schemes for radiative transfer equations ⋮ Small collaboration: Advanced numerical methods for nonlinear hyperbolic balance laws and their applications. Abstracts from the small collaboration held August 29 -- September 4, 2021 (hybrid meeting) ⋮ A Nonlinear Moment Model for Radiative Transfer Equation ⋮ A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations
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