High‐order asymptotic‐preserving schemes for linear systems: Application to the Goldstein–Taylor equations

Christophe Chalons; Rodolphe Turpault

doi:10.1002/num.22363

High‐order asymptotic‐preserving schemes for linear systems: Application to the Goldstein–Taylor equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22363 ◽

2019 ◽

Vol 35 (4) ◽

pp. 1538-1561

Author(s):

Christophe Chalons ◽

Rodolphe Turpault

Keyword(s):

Linear Systems ◽

High Order ◽

Asymptotic Preserving ◽

Asymptotic Preserving Schemes

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Very high-order asymptotic-preserving schemes for hyperbolic systems of conservation laws with parabolic degeneracy on unstructured meshes

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.02.003 ◽

2021 ◽

Vol 87 ◽

pp. 41-49

Author(s):

Florian Blachère ◽

Christophe Chalons ◽

Rodolphe Turpault

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Unstructured Meshes ◽

High Order ◽

Asymptotic Preserving ◽

Asymptotic Preserving Schemes ◽

Systems Of Conservation Laws ◽

Very High ◽

Parabolic Degeneracy

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High order asymptotic-preserving schemes for the Boltzmann equation

Comptes Rendus Mathematique ◽

10.1016/j.crma.2012.05.010 ◽

2012 ◽

Vol 350 (9-10) ◽

pp. 481-486 ◽

Cited By ~ 13

Author(s):

Giacomo Dimarco ◽

Lorenzo Pareschi

Keyword(s):

Boltzmann Equation ◽

High Order ◽

Asymptotic Preserving ◽

Asymptotic Preserving Schemes ◽

The Boltzmann Equation

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Complete Eigenstructure Assignment in High-order Descriptor Linear Systems via Proportional plus Derivative State Feedback

2006 6th World Congress on Intelligent Control and Automation ◽

10.1109/wcica.2006.1712390 ◽

2006 ◽

Cited By ~ 2

Author(s):

Guang-Ren Duan ◽

Hai-Hua Yu

Keyword(s):

Linear Systems ◽

State Feedback ◽

High Order ◽

Eigenstructure Assignment ◽

Descriptor Linear Systems

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High-order sliding mode observer for fractional commensurate linear systems with unknown input

Automatica ◽

10.1016/j.automatica.2017.04.035 ◽

2017 ◽

Vol 82 ◽

pp. 209-217 ◽

Cited By ~ 29

Author(s):

Zehor Belkhatir ◽

Taous Meriem Laleg-Kirati

Keyword(s):

Linear Systems ◽

Sliding Mode ◽

High Order ◽

Sliding Mode Observer ◽

Unknown Input

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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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High-Order Asymptotic-Preserving Methods for Fully Nonlinear Relaxation Problems

SIAM Journal on Scientific Computing ◽

10.1137/120893136 ◽

2014 ◽

Vol 36 (2) ◽

pp. A377-A395 ◽

Cited By ~ 25

Author(s):

Sebastiano Boscarino ◽

Philippe G. LeFloch ◽

Giovanni Russo

Keyword(s):

High Order ◽

Asymptotic Preserving ◽

Fully Nonlinear ◽

Nonlinear Relaxation

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State-constrained robust stabilisation for a class of high-order switched non-linear systems

IET Control Theory and Applications ◽

10.1049/iet-cta.2014.0898 ◽

2015 ◽

Vol 9 (12) ◽

pp. 1901-1908 ◽

Cited By ~ 24

Author(s):

Ben Niu ◽

Zhengrong Xiang

Keyword(s):

Linear Systems ◽

High Order ◽

Non Linear ◽

Non Linear Systems

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Hybrid Genetic Programming for Optimal Approximation of High Order and Sparse Linear Systems

Lecture Notes in Computer Science - Simulated Evolution and Learning ◽

10.1007/978-3-540-89694-4_47 ◽

2008 ◽

pp. 462-472

Author(s):

Jing Liu ◽

Wenlong Fu ◽

Weicai Zhong

Keyword(s):

Genetic Programming ◽

Linear Systems ◽

High Order ◽

Optimal Approximation ◽

Sparse Linear Systems

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High-Order and TVD Schemes for Non-Linear Systems

Riemann Solvers and Numerical Methods for Fluid Dynamics ◽

10.1007/978-3-662-03490-3_14 ◽

1997 ◽

pp. 459-495

Author(s):

Eleuterio F. Toro

Keyword(s):

Linear Systems ◽

High Order ◽

Tvd Schemes ◽

Non Linear ◽

Non Linear Systems

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High order asymptotic preserving nodal discontinuous Galerkin IMEX schemes for the BGK equation

Journal of Computational Physics ◽

10.1016/j.jcp.2014.12.021 ◽

2015 ◽

Vol 284 ◽

pp. 70-94 ◽

Cited By ~ 8

Author(s):

Tao Xiong ◽

Juhi Jang ◽

Fengyan Li ◽

Jing-Mei Qiu

Keyword(s):

Discontinuous Galerkin ◽

High Order ◽

Asymptotic Preserving ◽

Bgk Equation ◽

Imex Schemes

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