Asymptotic Preserving Implicit-Explicit Runge--Kutta Methods for Nonlinear Kinetic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/12087606x ◽

2013 ◽

Vol 51 (2) ◽

pp. 1064-1087 ◽

Author(s):

Giacomo Dimarco ◽

Lorenzo Pareschi

Keyword(s):

Kinetic Equations ◽

Asymptotic Preserving ◽

Runge Kutta ◽

Nonlinear Kinetic Equations ◽

Nonlinear Kinetic

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Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations

Journal of Computational Physics ◽

10.1016/j.jcp.2019.01.018 ◽

2019 ◽

Vol 382 ◽

pp. 264-290 ◽

Author(s):

Irene M. Gamba ◽

Shi Jin ◽

Liu Liu

Keyword(s):

Kinetic Equations ◽

Numerical Schemes ◽

Asymptotic Preserving ◽

Nonlinear Kinetic Equations ◽

Nonlinear Kinetic

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Modifications of weighted Monte Carlo algorithms for nonlinear kinetic equations

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542507120123 ◽

2007 ◽

Vol 47 (12) ◽

pp. 2023-2033 ◽

Author(s):

M. A. Korotchenko ◽

G. A. Mikhailov ◽

S. V. Rogasinsky

Keyword(s):

Monte Carlo ◽

Kinetic Equations ◽

Monte Carlo Algorithms ◽

Nonlinear Kinetic Equations ◽

Nonlinear Kinetic

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A Second-Order Asymptotic-Preserving and Positivity-Preserving Exponential Runge--Kutta Method for a Class of Stiff Kinetic Equations

Multiscale Modeling and Simulation ◽

10.1137/18m1226774 ◽

2019 ◽

Vol 17 (4) ◽

pp. 1123-1146 ◽

Author(s):

Jingwei Hu ◽

Ruiwen Shu

Keyword(s):

Kinetic Equations ◽

Second Order ◽

Kutta Method ◽

Positivity Preserving ◽

Asymptotic Preserving ◽

Runge Kutta Method ◽

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Stochastic interacting particle systems and nonlinear kinetic equations

The Annals of Applied Probability ◽

10.1214/aoap/1060202829 ◽

2003 ◽

Vol 13 (3) ◽

pp. 845-889 ◽

Author(s):

Wolfgang Wagner ◽

Andreas Eibeck

Keyword(s):

Interacting Particle Systems ◽

Kinetic Equations ◽

Particle Systems ◽

Interacting Particle ◽

Stochastic Interacting Particle Systems ◽

Nonlinear Kinetic Equations ◽

Nonlinear Kinetic

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Initial boundary value problems in irregular domains for nonlinear kinetic equations of Boltzmann type

Transport Theory and Statistical Physics ◽

10.1080/00411459908205652 ◽

1999 ◽

Vol 28 (2) ◽

pp. 105-134 ◽

Author(s):

A. Heintz

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Kinetic Equations ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Irregular Domains ◽

Initial Boundary Value ◽

Nonlinear Kinetic Equations ◽

Nonlinear Kinetic

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On the asymptotic behaviour of solutions of nonlinear kinetic equations

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf01764119 ◽

1991 ◽

Vol 160 (1) ◽

pp. 41-62 ◽

Author(s):

Mirosław Lachowicz

Keyword(s):

Asymptotic Behaviour ◽

Kinetic Equations ◽

Asymptotic Behaviour Of Solutions ◽

Nonlinear Kinetic Equations ◽

Nonlinear Kinetic

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ASYMPTOTIC ANALYSIS OF NONLINEAR KINETIC EQUATIONS: THE HYDRODYNAMIC LIMIT

Series on Advances in Mathematics for Applied Sciences - Lecture Notes on Mathematical Theory of the Boltzmann Equation ◽

10.1142/9789812831170_0002 ◽

1995 ◽

pp. 65-148 ◽

Author(s):

M. Lachowicz

Keyword(s):

Asymptotic Analysis ◽

Hydrodynamic Limit ◽

Kinetic Equations ◽

Nonlinear Kinetic Equations ◽

Nonlinear Kinetic

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Weighted modification of the majorizing frequency method as applied to solving nonlinear kinetic equations

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542512090023 ◽

2012 ◽

Vol 52 (9) ◽

pp. 1321-1330

Author(s):

O. V. Bloshchitsyna ◽

S. V. Rogasinsky

Keyword(s):

Kinetic Equations ◽

Frequency Method ◽

Nonlinear Kinetic Equations ◽

Nonlinear Kinetic

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On the relation between linear and nonlinear kinetic equations

Physica A Statistical Mechanics and its Applications ◽

10.1016/0378-4371(76)90124-2 ◽

1976 ◽

Vol 85 (1) ◽

pp. 147-159 ◽

Author(s):

T. Shimizu

Keyword(s):

Kinetic Equations ◽

Linear And Nonlinear ◽

Nonlinear Kinetic Equations ◽

Nonlinear Kinetic

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Initial state dependence of nonlinear kinetic equations: The classical electron gas

Journal of Statistical Physics ◽

10.1007/bf01020604 ◽

1985 ◽

Vol 41 (1-2) ◽

pp. 75-93 ◽

Author(s):

M. C. Marchetti ◽

E. G. D. Cohen ◽

J. R. Dorfman ◽

T. R. Kirkpatrick

Keyword(s):

Electron Gas ◽

Kinetic Equations ◽

State Dependence ◽

Initial State ◽

Classical Electron ◽

Classical Electron Gas ◽

Nonlinear Kinetic Equations ◽

Nonlinear Kinetic

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