A High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using Projective Integration

Pauline Lafitte; Annelies Lejon; Giovanni Samaey

doi:10.1137/140966708

A High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using Projective Integration

SIAM Journal on Numerical Analysis ◽

10.1137/140966708 ◽

2016 ◽

Vol 54 (1) ◽

pp. 1-33 ◽

Cited By ~ 9

Author(s):

Pauline Lafitte ◽

Annelies Lejon ◽

Giovanni Samaey

Keyword(s):

Kinetic Equations ◽

High Order ◽

Asymptotic Preserving ◽

Asymptotic Preserving Scheme

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Erratum: A High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using Projective Integration

SIAM Journal on Numerical Analysis ◽

10.1137/17m1111358 ◽

2018 ◽

Vol 56 (2) ◽

pp. 1183-1185

Author(s):

Pauline Lafitte ◽

Annelies Lejon ◽

Giovanni Samaey

Keyword(s):

Kinetic Equations ◽

High Order ◽

Asymptotic Preserving ◽

Asymptotic Preserving Scheme

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A High Order Stochastic Asymptotic Preserving Scheme for Chemotaxis Kinetic Models with Random Inputs

Multiscale Modeling and Simulation ◽

10.1137/17m1150840 ◽

2018 ◽

Vol 16 (4) ◽

pp. 1884-1915

Author(s):

Shi Jin ◽

Hanqing Lu ◽

Lorenzo Pareschi

Keyword(s):

Kinetic Models ◽

High Order ◽

Asymptotic Preserving ◽

Random Inputs ◽

Asymptotic Preserving Scheme

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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

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An admissibility and asymptotic preserving scheme for systems of conservation laws with source term on 2D unstructured meshes with high-order MOOD reconstruction

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.01.012 ◽

2017 ◽

Vol 317 ◽

pp. 836-867 ◽

Cited By ~ 4

Author(s):

F. Blachère ◽

R. Turpault

Keyword(s):

Conservation Laws ◽

Source Term ◽

Unstructured Meshes ◽

High Order ◽

Asymptotic Preserving ◽

Systems Of Conservation Laws ◽

Asymptotic Preserving Scheme

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High-Order Asymptotic-Preserving Projective Integration Schemes for Kinetic Equations

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications - ENUMATH 2013 ◽

10.1007/978-3-319-10705-9_38 ◽

2014 ◽

pp. 387-395 ◽

Cited By ~ 1

Author(s):

Pauline Lafitte ◽

Annelies Lejon ◽

Ward Melis ◽

Dirk Roose ◽

Giovanni Samaey

Keyword(s):

Kinetic Equations ◽

High Order ◽

Asymptotic Preserving ◽

Integration Schemes

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A Successive Penalty-Based Asymptotic-Preserving Scheme for Kinetic Equations

SIAM Journal on Scientific Computing ◽

10.1137/110857982 ◽

2013 ◽

Vol 35 (1) ◽

pp. A150-A172 ◽

Cited By ~ 12

Author(s):

Bokai Yan ◽

Shi Jin

Keyword(s):

Kinetic Equations ◽

Asymptotic Preserving ◽

Asymptotic Preserving Scheme

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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

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High order asymptotic preserving DG-IMEX schemes for discrete-velocity kinetic equations in a diffusive scaling

Journal of Computational Physics ◽

10.1016/j.jcp.2014.10.025 ◽

2015 ◽

Vol 281 ◽

pp. 199-224 ◽

Cited By ~ 10

Author(s):

Juhi Jang ◽

Fengyan Li ◽

Jing-Mei Qiu ◽

Tao Xiong

Keyword(s):

Kinetic Equations ◽

High Order ◽

Asymptotic Preserving ◽

Discrete Velocity ◽

Imex Schemes

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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

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An asymptotic preserving scheme for hydrodynamics radiative transfer models

Numerische Mathematik ◽

10.1007/s00211-007-0094-x ◽

2007 ◽

Vol 108 (2) ◽

pp. 199-221 ◽

Cited By ~ 33

Author(s):

Christophe Buet ◽

Stéphane Cordier

Keyword(s):

Radiative Transfer ◽

Asymptotic Preserving ◽

Radiative Transfer Models ◽

Asymptotic Preserving Scheme ◽

Transfer Models

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