Fast spectral methods for the Fokker-Planck-Landau collision operator.
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Publication:5926784
DOI10.1006/jcph.2000.6612zbMath1052.82545OpenAlexW2015470839MaRDI QIDQ5926784
Lorenzo Pareschi, Giuseppe Toscani, Giovanni Russo
Publication date: 2000
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.2000.6612
Spectral methods applied to problems in fluid mechanics (76M22) Numerical methods for discrete and fast Fourier transforms (65T50) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)
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Cites Work
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- Discretization methods for one-dimensional Fokker-Planck operators
- Conservative finite-difference schemes for the Fokker-Planck equation not violating the law of an increasing entropy
- High order explicit methods for parabolic equations
- Conservative and entropy decaying numerical scheme for the isotropic Fokker-Planck-Landau equation
- On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
- Difference schemes for the time evolution of three-dimensional kinetic equations
- The completely conservative difference schemes for the nonlinear Landau-Fokker-Planck equation
- Implicit and conservative difference scheme for the Fokker-Planck equation
- An entropy scheme for the Fokker-Planck collision operator of plasma kinetic theory
- Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck-Landau equation
- Multipole expansions for the Fokker-Planck-Landau operator
- Higher order approximation methods for the Boltzmann equation
- Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit
- A practical difference scheme for Fokker-Planck equations
- A Fourier spectral method for homogeneous boltzmann equations
- Fokker-Planck Equation for an Inverse-Square Force
- On asymptotics of the Boltzmann equation when the collisions become grazing
- THE FOKKER-PLANCK ASYMPTOTICS OF THE BOLTZMANN COLLISION OPERATOR IN THE COULOMB CASE
- Numerical Analysis of Conservative and Entropy Schemes for the Fokker--Planck--Landau Equation
- Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator
- On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness
- Méthode spectrale rapide pour l'équation de Fokker–Planck–Landau
- On the Construction and Comparison of Difference Schemes
- ON THE CONNECTION BETWEEN A SOLUTION OF THE BOLTZMANN EQUATION AND A SOLUTION OF THE LANDAU-FOKKER-PLANCK EQUATION