Variance reduction for Monte Carlo solutions of the Boltzmann equation

Lowell L. Baker; Nicolas G. Hadjiconstantinou

doi:10.1063/1.1899210

Variance reduction for Monte Carlo solutions of the Boltzmann equation

Physics of Fluids ◽

10.1063/1.1899210 ◽

2005 ◽

Vol 17 (5) ◽

pp. 051703 ◽

Cited By ~ 83

Author(s):

Lowell L. Baker ◽

Nicolas G. Hadjiconstantinou

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Variance Reduction ◽

The Boltzmann Equation

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A Variance Reduction Approach for Monte Carlo Solutions of the Non-Linear Boltzmann Equation

ASME 3rd International Conference on Microchannels and Minichannels, Part B cont’d ◽

10.1115/icmm2005-75099 ◽

2005 ◽

Author(s):

Lowell L. Baker ◽

Nicolas G. Hadjiconstantinou

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Variance Reduction ◽

Linear Boltzmann Equation ◽

Non Linear ◽

Reduction Approach

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Uncertainty Quantification for the BGK Model of the Boltzmann Equation Using Multilevel Variance Reduced Monte Carlo Methods

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/20m1331846 ◽

2021 ◽

Vol 9 (2) ◽

pp. 650-680

Author(s):

Jingwei Hu ◽

Lorenzo Pareschi ◽

Yubo Wang

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Uncertainty Quantification ◽

Monte Carlo Methods ◽

Bgk Model ◽

The Boltzmann Equation

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A Stable Backward Monte Carlo Method for the Solution of the Boltzmann Equation

Large-Scale Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-540-24588-9_18 ◽

2004 ◽

pp. 170-177 ◽

Cited By ~ 2

Author(s):

Hans Kosina ◽

Mihail Nedjalkov ◽

Siegfried Selberherr

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Method ◽

The Boltzmann Equation

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Monte-Carlo methods for the Boltzmann equation

Modeling and Computational Methods for Kinetic Equations - Modeling and Simulation in Science, Engineering and Technology ◽

10.1007/978-0-8176-8200-2_3 ◽

2004 ◽

pp. 81-115 ◽

Cited By ~ 2

Author(s):

Sergej Rjasanow

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Methods ◽

The Boltzmann Equation

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On two numerical schemes of the Monte Carlo method for solving the Boltzmann equation

Vestnik St Petersburg University Mathematics ◽

10.3103/s1063454110040102 ◽

2010 ◽

Vol 43 (4) ◽

pp. 256-262

Author(s):

N. M. Moskaleva

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Method ◽

Numerical Schemes ◽

The Boltzmann Equation ◽

The Monte Carlo Method

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Solution of stationary boundary value problems for the Boltzmann equation by the Monte Carlo method

Monte Carlo Methods and Applications ◽

10.1515/mcma.1999.5.3.263 ◽

1999 ◽

Vol 5 (3) ◽

Cited By ~ 1

Author(s):

S.V. Rogasinsky

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Method ◽

Boundary Value Problems ◽

Boundary Value ◽

Stationary Boundary ◽

The Boltzmann Equation ◽

The Monte Carlo Method

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Modifications in the one‐particle Monte Carlo method for solving the Boltzmann equation with changed variables

Journal of Applied Physics ◽

10.1063/1.342470 ◽

1988 ◽

Vol 64 (7) ◽

pp. 3532-3537 ◽

Cited By ~ 1

Author(s):

M. Nedjalkov ◽

P. Vitanov

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Method ◽

The Boltzmann Equation ◽

The One

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An asymptotic-preserving Monte Carlo method for the Boltzmann equation

Journal of Computational Physics ◽

10.1016/j.jcp.2014.07.029 ◽

2014 ◽

Vol 276 ◽

pp. 380-404 ◽

Cited By ~ 20

Author(s):

Wei Ren ◽

Hong Liu ◽

Shi Jin

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Method ◽

Asymptotic Preserving ◽

The Boltzmann Equation

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Monte Carlo simulation of the Boltzmann equation in the colour conductivity problem for general repulsive potentials

Molecular Physics ◽

10.1080/00268979609484509 ◽

1996 ◽

Vol 88 (5) ◽

pp. 1249-1261 ◽

Cited By ~ 5

Author(s):

C. MARÍN ◽

J. M. MONTANERO ◽

V. GARZÓ

Keyword(s):

Monte Carlo Simulation ◽

Monte Carlo ◽

Boltzmann Equation ◽

The Boltzmann Equation ◽

Repulsive Potentials ◽

Conductivity Problem

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The Boltzmann equation at the borderline. A decade of Monte Carlo simulations of a quantum kinetic equation

Physics Reports ◽

10.1016/0370-1573(94)90108-2 ◽

1994 ◽

Vol 243 (1-2) ◽

pp. 1-124 ◽

Cited By ~ 235

Author(s):

A. Bonasera ◽

F. Gulminelli ◽

J. Molitoris

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Kinetic Equation ◽

Monte Carlo Simulations ◽

Quantum Kinetic Equation ◽

The Boltzmann Equation

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