A fast Fourier spectral method for the homogeneous Boltzmann equation with non-cutoff collision kernels

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109806 ◽

2020 ◽

Vol 423 ◽

pp. 109806

Author(s):

Jingwei Hu ◽

Kunlun Qi

Keyword(s):

Boltzmann Equation ◽

Spectral Method ◽

Fourier Spectral Method ◽

Homogeneous Boltzmann Equation ◽

Collision Kernels

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On the homogeneous Boltzmann equation with soft-potential collision kernels

Kinetic and Related Models ◽

10.3934/krm.2015.8.309 ◽

2015 ◽

Vol 8 (2) ◽

pp. 309-333

Author(s):

Yong-Kum Cho

Keyword(s):

Boltzmann Equation ◽

Soft Potential ◽

Homogeneous Boltzmann Equation ◽

Collision Kernels

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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 ◽

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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A Polynomial Spectral Method for the Spatially Homogeneous Boltzmann Equation

SIAM Journal on Scientific Computing ◽

10.1137/17m1160240 ◽

2019 ◽

Vol 41 (1) ◽

pp. B27-B49 ◽

Author(s):

Gerhard Kitzler ◽

Joachim Schöberl

Keyword(s):

Boltzmann Equation ◽

Spectral Method ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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A discontinuous Galerkin fast spectral method for the full Boltzmann equation with general collision kernels

Journal of Computational Physics ◽

10.1016/j.jcp.2018.11.001 ◽

2019 ◽

Vol 378 ◽

pp. 178-208 ◽

Author(s):

Shashank Jaiswal ◽

Alina A. Alexeenko ◽

Jingwei Hu

Keyword(s):

Boltzmann Equation ◽

Spectral Method ◽

Discontinuous Galerkin ◽

Collision Kernels

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A New Stability and Convergence Proof of the Fourier--Galerkin Spectral Method for the Spatially Homogeneous Boltzmann Equation

SIAM Journal on Numerical Analysis ◽

10.1137/20m1351813 ◽

2021 ◽

Vol 59 (2) ◽

pp. 613-633

Author(s):

Jingwei Hu ◽

Kunlun Qi ◽

Tong Yang

Keyword(s):

Boltzmann Equation ◽

Spectral Method ◽

Stability And Convergence ◽

Homogeneous Boltzmann Equation ◽

Convergence Proof ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation ◽

Galerkin Spectral Method

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Fourier-spectral-method implementation of deformation in the phase-field crystal model: Further development

10.1063/5.0022984 ◽

2020 ◽

Author(s):

Nirand Pisutha-Arnond

Keyword(s):

Spectral Method ◽

Phase Field ◽

Fourier Spectral Method ◽

Crystal Model ◽

Further Development ◽

Phase Field Crystal

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Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation

Advances in Computational Mathematics ◽

10.1007/s10444-020-09789-9 ◽

2020 ◽

Vol 46 (3) ◽

Author(s):

Xiaoli Li ◽

Jie Shen

Keyword(s):

Spectral Method ◽

Error Estimates ◽

Phase Field ◽

Fourier Spectral Method ◽

Phase Field Crystal

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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 ◽

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 ◽

Author(s):

V.A. Voronina

Keyword(s):

Boltzmann Equation ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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A Conservative Discontinuous Galerkin Solver for the Space Homogeneous Boltzmann Equation for Binary Interactions

SIAM Journal on Numerical Analysis ◽

10.1137/16m1104792 ◽

2018 ◽

Vol 56 (5) ◽

pp. 3040-3070 ◽

Author(s):

Chenglong Zhang ◽

Irene M. Gamba

Keyword(s):

Boltzmann Equation ◽

Discontinuous Galerkin ◽

Homogeneous Boltzmann Equation

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