An asymptotic preserving semi-implicit multiderivative solver

Asymptotic-preserving Boltzmann model equations for binary gas mixture

Physical Review E ◽

10.1103/physreve.93.023102 ◽

2016 ◽

Vol 93 (2) ◽

Cited By ~ 2

Author(s):

Sha Liu ◽

Yihua Liang

Keyword(s):

Gas Mixture ◽

Asymptotic Preserving ◽

Binary Gas Mixture ◽

Model Equations ◽

Boltzmann Model

Download Full-text

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

Download Full-text

Asymptotic Preserving Property of a Semi-implicit Method

Springer Proceedings in Mathematics & Statistics - Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems ◽

10.1007/978-3-319-57394-6_17 ◽

2017 ◽

pp. 155-162

Author(s):

Lei Zhang ◽

Jean-Michel Ghidaglia ◽

Anela Kumbaro

Keyword(s):

Implicit Method ◽

Asymptotic Preserving

Download Full-text

A stochastic asymptotic-preserving scheme for the bipolar semiconductor Boltzmann-Poisson system with random inputs and diffusive scalings

Journal of Computational Physics ◽

10.1016/j.jcp.2018.09.055 ◽

2019 ◽

Vol 376 ◽

pp. 634-659 ◽

Cited By ~ 2

Author(s):

Liu Liu

Keyword(s):

Poisson System ◽

Asymptotic Preserving ◽

Random Inputs ◽

Asymptotic Preserving Scheme ◽

Bipolar Semiconductor

Download Full-text

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

Journal of Computational Physics ◽

10.1016/j.jcp.2016.03.045 ◽

2016 ◽

Vol 315 ◽

pp. 98-123 ◽

Cited By ~ 1

Author(s):

F. Blachère ◽

R. Turpault

Keyword(s):

Conservation Laws ◽

Source Term ◽

Unstructured Meshes ◽

Asymptotic Preserving ◽

Systems Of Conservation Laws ◽

Asymptotic Preserving Scheme

Download Full-text

Asymptotic-Preserving Monte Carlo Method for Large Cylinder Hypersonic Flows

Journal of Thermophysics and Heat Transfer ◽

10.2514/1.t5225 ◽

2018 ◽

Vol 32 (1) ◽

pp. 205-215 ◽

Cited By ~ 1

Author(s):

Bin Zhang ◽

Hao Chen ◽

Linying Li ◽

Xiaoyu Shao

Keyword(s):

Monte Carlo ◽

Monte Carlo Method ◽

Hypersonic Flows ◽

Asymptotic Preserving ◽

Large Cylinder

Download Full-text

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

Download Full-text

Asymptotic preserving HLL schemes

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20586 ◽

2010 ◽

Vol 27 (6) ◽

pp. 1396-1422 ◽

Cited By ~ 24

Author(s):

Christophe Berthon ◽

Rodolphe Turpault

Keyword(s):

Asymptotic Preserving

Download Full-text

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

Download Full-text

Numerical methods for kinetic equations

Acta Numerica ◽

10.1017/s0962492914000063 ◽

2014 ◽

Vol 23 ◽

pp. 369-520 ◽

Cited By ~ 123

Author(s):

G. Dimarco ◽

L. Pareschi

Keyword(s):

Computational Complexity ◽

Numerical Methods ◽

State Of The Art ◽

Kinetic Equations ◽

Numerical Techniques ◽

Asymptotic Preserving ◽

Hybrid Schemes ◽

Velocity Models ◽

Current State ◽

Number Of Particles

In this survey we consider the development and mathematical analysis of numerical methods for kinetic partial differential equations. Kinetic equations represent a way of describing the time evolution of a system consisting of a large number of particles. Due to the high number of dimensions and their intrinsic physical properties, the construction of numerical methods represents a challenge and requires a careful balance between accuracy and computational complexity. Here we review the basic numerical techniques for dealing with such equations, including the case of semi-Lagrangian methods, discrete-velocity models and spectral methods. In addition we give an overview of the current state of the art of numerical methods for kinetic equations. This covers the derivation of fast algorithms, the notion of asymptotic-preserving methods and the construction of hybrid schemes.

Download Full-text