An asymptotic-preserving scheme for linear kinetic equation with fractional diffusion limit

Journal of Computational Physics ◽

10.1016/j.jcp.2016.02.034 ◽

2016 ◽

Vol 312 ◽

pp. 157-174 ◽

Cited By ~ 2

Author(s):

Li Wang ◽

Bokai Yan

Keyword(s):

Kinetic Equation ◽

Fractional Diffusion ◽

Diffusion Limit ◽

Asymptotic Preserving ◽

Asymptotic Preserving Scheme ◽

Linear Kinetic

Download Full-text

A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit

SIAM Journal on Scientific Computing ◽

10.1137/07069479x ◽

2008 ◽

Vol 31 (1) ◽

pp. 334-368 ◽

Cited By ~ 92

Author(s):

Mohammed Lemou ◽

Luc Mieussens

Keyword(s):

Kinetic Equations ◽

Diffusion Limit ◽

Asymptotic Preserving ◽

Asymptotic Preserving Scheme ◽

Linear Kinetic

Download Full-text

An Asymptotic Preserving Scheme for a Stochastic Linear Kinetic Equation in the Diffusion Regime

Springer Proceedings in Mathematics & Statistics - From Particle Systems to Partial Differential Equations ◽

10.1007/978-3-030-69784-6_3 ◽

2021 ◽

pp. 37-50

Author(s):

Nathalie Ayi

Keyword(s):

Kinetic Equation ◽

Diffusion Regime ◽

Asymptotic Preserving ◽

Asymptotic Preserving Scheme ◽

Linear Kinetic

Download Full-text

Analysis of an Asymptotic Preserving Scheme for Stochastic Linear Kinetic Equations in the Diffusion Limit

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/18m1175641 ◽

2019 ◽

Vol 7 (2) ◽

pp. 760-785

Author(s):

Nathalie Ayi ◽

Erwan Faou

Keyword(s):

Kinetic Equations ◽

Diffusion Limit ◽

Asymptotic Preserving ◽

Asymptotic Preserving Scheme ◽

Linear Kinetic

Download Full-text

Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit

SIAM Journal on Numerical Analysis ◽

10.1137/090772770 ◽

2010 ◽

Vol 48 (4) ◽

pp. 1474-1491 ◽

Cited By ~ 27

Author(s):

Jian-Guo Liu ◽

Luc Mieussens

Keyword(s):

Kinetic Equations ◽

Diffusion Limit ◽

Asymptotic Preserving ◽

Asymptotic Preserving Scheme ◽

Linear Kinetic

Download Full-text

Fractional diffusion limit of a linear kinetic equation in a bounded domain

Kinetic and Related Models ◽

10.3934/krm.2017021 ◽

2017 ◽

Vol 10 (3) ◽

pp. 541-551 ◽

Cited By ~ 2

Author(s):

Pedro Aceves-Sánchez ◽

◽

Christian Schmeiser

Keyword(s):

Kinetic Equation ◽

Bounded Domain ◽

Fractional Diffusion ◽

Diffusion Limit ◽

Linear Kinetic

Download Full-text

Fractional Diffusion Limit of a Kinetic Equation with Diffusive Boundary Conditions in the Upper-Half Space

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-019-01442-0 ◽

2019 ◽

Vol 235 (2) ◽

pp. 1245-1288

Author(s):

L. Cesbron ◽

A. Mellet ◽

M. Puel

Keyword(s):

Kinetic Equation ◽

Boundary Conditions ◽

Half Space ◽

Fractional Diffusion ◽

Diffusion Limit ◽

Diffusive Boundary

Download Full-text

An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit

Continuum Mechanics and Thermodynamics ◽

10.1007/s00161-009-0116-2 ◽

2009 ◽

Vol 21 (5) ◽

pp. 401-421 ◽

Cited By ~ 7

Author(s):

Mounir Bennoune ◽

Mohammed Lemou ◽

Luc Mieussens

Keyword(s):

Boltzmann Equation ◽

Diffusion Limit ◽

Asymptotic Preserving ◽

The Boltzmann Equation ◽

Kac Model ◽

Asymptotic Preserving Scheme

Download Full-text

An Asymptotic-Preserving Scheme for the Kinetic Equation with Anisotropic Scattering: Heavy Tail Equilibrium and Degenerate Collision Frequency

SIAM Journal on Scientific Computing ◽

10.1137/17m1138029 ◽

2019 ◽

Vol 41 (1) ◽

pp. A422-A451

Author(s):

Li Wang ◽

Bokai Yan

Keyword(s):

Kinetic Equation ◽

Collision Frequency ◽

Anisotropic Scattering ◽

Heavy Tail ◽

Asymptotic Preserving ◽

Asymptotic Preserving Scheme

Download Full-text

Fractional diffusion limit for a stochastic kinetic equation

Stochastic Processes and their Applications ◽

10.1016/j.spa.2013.11.007 ◽

2014 ◽

Vol 124 (3) ◽

pp. 1335-1367 ◽

Cited By ~ 1

Author(s):

Sylvain De Moor

Keyword(s):

Kinetic Equation ◽

Fractional Diffusion ◽

Diffusion Limit

Download Full-text

Diffusion limit for a linear kinetic equation

Transport Theory and Statistical Physics ◽

10.1080/00411459508205119 ◽

1995 ◽

Vol 24 (1-3) ◽

pp. 41-53 ◽

Cited By ~ 3

Author(s):

J R. Mika ◽

J Banasiak

Keyword(s):

Kinetic Equation ◽

Diffusion Limit ◽

Linear Kinetic

Download Full-text