Time Splitting Error in DSMC Schemes for the Spatially Homogeneous Inelastic Boltzmann Equation

Sergej Rjasanow; Wolfgang Wagner

doi:10.1137/050643842

Time Splitting Error in DSMC Schemes for the Spatially Homogeneous Inelastic Boltzmann Equation

SIAM Journal on Numerical Analysis ◽

10.1137/050643842 ◽

2007 ◽

Vol 45 (1) ◽

pp. 54-67 ◽

Cited By ~ 4

Author(s):

Sergej Rjasanow ◽

Wolfgang Wagner

Keyword(s):

Boltzmann Equation ◽

Inelastic Boltzmann Equation ◽

Time Splitting ◽

Spatially Homogeneous

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On Stability and Strong Convergence for the Spatially Homogeneous Boltzmann Equation for Fermi-Dirac Particles

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-003-0247-8 ◽

2003 ◽

Vol 168 (1) ◽

pp. 1-34 ◽

Cited By ~ 10

Author(s):

Xuguang Lu ◽

Bernt Wennberg

Keyword(s):

Boltzmann Equation ◽

Strong Convergence ◽

Homogeneous Boltzmann Equation ◽

Dirac Particles ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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A method for constructing a solution of the spatially homogeneous boltzmann equation for a mixture of gases

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(88)90244-3 ◽

1988 ◽

Vol 28 (1) ◽

pp. 196-198 ◽

Cited By ~ 1

Author(s):

V.A. Voronina

Keyword(s):

Boltzmann Equation ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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Shubin Regularity for the Radially Symmetric Spatially Homogeneous Boltzmann Equation with Debye-Yukawa Potential

Acta Mathematica Scientia ◽

10.1007/s10473-019-0602-y ◽

2019 ◽

Vol 39 (6) ◽

pp. 1487-1507

Author(s):

Léo Glangetas ◽

Haoguang Li

Keyword(s):

Boltzmann Equation ◽

Yukawa Potential ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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Burnett spectral method for the spatially homogeneous Boltzmann equation

Computers & Fluids ◽

10.1016/j.compfluid.2020.104456 ◽

2020 ◽

Vol 200 ◽

pp. 104456 ◽

Cited By ~ 1

Author(s):

Zhenning Cai ◽

Yuwei Fan ◽

Yanli Wang

Keyword(s):

Boltzmann Equation ◽

Spectral Method ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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Stochastic differential equation corresponding to the spatially homogeneous Boltzmann equation of Maxwellian and non-cutoff type

Stochastic Processes ◽

10.1142/9789812778550_0021 ◽

2002 ◽

pp. 292-310

Author(s):

Hiroshi TANAKA

Keyword(s):

Differential Equation ◽

Boltzmann Equation ◽

Stochastic Differential Equation ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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SOME PROBABILISTIC PROBLEMS IN THE SPATIALLY HOMOGENEOUS BOLTZMANN EQUATION

Stochastic Processes ◽

10.1142/9789812778550_0014 ◽

2002 ◽

pp. 172-181

Author(s):

Hiroshi Tanaka

Keyword(s):

Boltzmann Equation ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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Solutions of the Boltzmann Equation for the Spatially Homogeneous Mixture of Maxwellian Gases

Communications in Theoretical Physics ◽

10.1088/0253-6102/6/1/17 ◽

1986 ◽

Vol 6 (1) ◽

pp. 17-28 ◽

Cited By ~ 2

Author(s):

Lu Yan-nan ◽

Xiong Yin-tao

Keyword(s):

Boltzmann Equation ◽

Homogeneous Mixture ◽

The Boltzmann Equation ◽

Spatially Homogeneous

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Propagation of L estimates for the spatially homogeneous relativistic Boltzmann equation

Journal of Differential Equations ◽

10.1016/j.jde.2020.09.027 ◽

2021 ◽

Vol 272 ◽

pp. 105-126

Author(s):

Jin Woo Jang ◽

Seok-Bae Yun

Keyword(s):

Boltzmann Equation ◽

Relativistic Boltzmann Equation ◽

Spatially Homogeneous

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Spatially Homogeneous Boltzmann Equation for Relativistic Particles

SIAM Journal on Mathematical Analysis ◽

10.1137/130923531 ◽

2014 ◽

Vol 46 (1) ◽

pp. 917-938 ◽

Cited By ~ 4

Author(s):

Robert M. Strain ◽

Seok-Bae Yun

Keyword(s):

Boltzmann Equation ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation ◽

Relativistic Particles

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Differentiability of spatially homogeneous solutions of the Boltzmann equation in the non maxwellian case

Communications in Mathematical Physics ◽

10.1007/bf01607952 ◽

1974 ◽

Vol 38 (4) ◽

pp. 331-340 ◽

Cited By ~ 26

Author(s):

Gabriella Di Blasio

Keyword(s):

Boltzmann Equation ◽

Homogeneous Solutions ◽

The Boltzmann Equation ◽

Spatially Homogeneous

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