An introduction to Monte Carlo method for the Boltzmann equation

ESAIM Proceedings ◽

10.1051/proc:2001004 ◽

2001 ◽

Vol 10 ◽

pp. 35-75 ◽

Author(s):

Lorenzo Pareschi ◽

Giovanni Russo

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Method ◽

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 ◽

Author(s):

Hans Kosina ◽

Mihail Nedjalkov ◽

Siegfried Selberherr

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Method ◽

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) ◽

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 ◽

Author(s):

M. Nedjalkov ◽

P. Vitanov

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Method ◽

The Boltzmann Equation ◽

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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 ◽

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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A new algorithm for the simulation of the boltzmann equation using the direct simulation monte-carlo method

Journal of Mechanical Science and Technology ◽

10.1007/s12206-009-0803-8 ◽

2009 ◽

Vol 23 (10) ◽

pp. 2861-2870 ◽

Author(s):

A. A. Ganjaei ◽

S. S. Nourazar

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Method ◽

Direct Simulation Monte Carlo ◽

Direct Simulation ◽

The Boltzmann Equation ◽

Simulation Monte Carlo

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A Quasi-Monte Carlo Method for the Boltzmann Equation

Mathematics of Computation ◽

10.2307/2008398 ◽

1991 ◽

Vol 56 (194) ◽

pp. 621 ◽

Author(s):

Christian Lecot

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Method ◽

Quasi Monte Carlo ◽

The Boltzmann Equation

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The moment guided Monte Carlo method for the Boltzmann equation

Kinetic and Related Models ◽

10.3934/krm.2013.6.291 ◽

2013 ◽

Vol 6 (2) ◽

pp. 291-315 ◽

Author(s):

Giacomo Dimarco ◽

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Method ◽

The Boltzmann Equation ◽

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A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation

Journal of Statistical Physics ◽

10.1007/bf01055714 ◽

1992 ◽

Vol 66 (3-4) ◽

pp. 1011-1044 ◽

Author(s):

Wolfgang Wagner

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Method ◽

Direct Simulation Monte Carlo ◽

Direct Simulation ◽

Convergence Proof ◽

The Boltzmann Equation ◽

Simulation Monte Carlo

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A Monte Carlo method for small signal analysis of the Boltzmann equation

Journal of Applied Physics ◽

10.1063/1.373070 ◽

2000 ◽

Vol 87 (9) ◽

pp. 4308-4314 ◽

Author(s):

H. Kosina ◽

M. Nedjalkov ◽

S. Selberherr

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Method ◽

Signal Analysis ◽

Small Signal ◽

Small Signal Analysis ◽

The Boltzmann Equation

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