Asymptotic Preserving and Uniformly Unconditionally Stable Finite Difference Schemes for Kinetic Transport Equations
DOI10.1137/22m1533815zbMath1526.65041arXiv2211.04738OpenAlexW4387816554MaRDI QIDQ6066418
Guo-liang Zhang, Hongqiang Zhu, Tao Xiong
Publication date: 16 November 2023
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.04738
semi-Lagrangianunconditionally stableasymptotic preservingkinetic transport equationsdiffusive scaling
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Electromagnetic theory (general) (78A25) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for stiff equations (65L04) Transport equations (35Q49)
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