Fast evaluation of the Boltzmann collision operator using data driven reduced order models
type: Item
instance of: scholarly article
title: Fast evaluation of the Boltzmann collision operator using data driven reduced order models
author: Yanyan Li
published in: Journal of Computational Physics
publication date: 2022-10-11T00:00:00Z
Mathematics Subject Classification ID: 76Pxx
Mathematics Subject Classification ID: 82Cxx
Mathematics Subject Classification ID: 65Mxx
zbMATH DE Number: 7599591
zbMATH Keywords: Boltzmann kinetic equation
zbMATH Keywords: reduced order models
zbMATH Keywords: dynamics of non-continuum gas
Wikidata QID: Q114163208
MaRDI profile type: Publication
full work available at URL: j.jcp.2022.111526
OpenAlex ID: W4292136514
cites work: Deterministic solution of the spatially homogeneous Boltzmann equation using discontinuous Galerkin discretizations in the velocity space
cites work: A deterministic-stochastic method for computing the Boltzmann collision integral in \(\mathcal{O}(MN)\) operations
cites work: An ultra-sparse approximation of kinetic solutions to spatially homogeneous flows of non-continuum gas
cites work: Evaluating high order discontinuous Galerkin discretization of the Boltzmann collision integral in \(\mathcal{O}(N^2)\) operations using the discrete Fourier transform
cites work: Nonlinear model order reduction based on local reduced-order bases
cites work: Fast local reduced basis updates for the efficient reduction of nonlinear systems with hyper-reduction
cites work: A deterministic method for solving the Boltzmann equation with parallel computations
cites work: Direct methods for solving the Boltzmann equation and study of nonequilibrium flows
cites work: Discrete kinetic models in the fluid dynamic limit
cites work: A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
cites work: Numerical solution of the Boltzmann equation using a fully conservative difference scheme based on the fast fourier transform
cites work: Q4347514
cites work: Fast deterministic method of solving the Boltzmann equation for hard spheres
cites work: Tensor methods for the Boltzmann-BGK equation
cites work: Burnett spectral method for the spatially homogeneous Boltzmann equation
cites work: Approximation of the linearized Boltzmann collision operator for hard-sphere and inverse-power-law models
cites work: Q4492758
cites work: Numerical methods for kinetic equations
cites work: An efficient numerical method for solving the Boltzmann equation in multidimensions
cites work: Solving the Boltzmann Equation in N log2N
cites work: Hyperbolic cross approximation for the spatially homogeneous Boltzmann equation
cites work: Shock and Boundary Structure Formation by Spectral-Lagrangian Methods for the Inhomogeneous Boltzmann Transport Equation
cites work: A Fast Spectral Method for the Boltzmann Collision Operator with General Collision Kernels
cites work: Galerkin-Petrov approach for the Boltzmann equation
cites work: Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states
cites work: Tensor-Product Discretization for the Spatially Inhomogeneous and Transient Boltzmann Equation in Two Dimensions
cites work: Fast numerical method for the Boltzmann equation on non-uniform grids
cites work: A Petrov-Galerkin spectral method for the inelastic Boltzmann equation using mapped Chebyshev functions
cites work: Numerical solution of the Boltzmann equation on the uniform grid
cites work: A discontinuous Galerkin fast spectral method for the full Boltzmann equation with general collision kernels
cites work: Fully conservative spectral Galerkin-Petrov method for the inhomogeneous Boltzmann equation
cites work: A weak formulation of the Boltzmann equation based on the Fourier transform
cites work: Solution of the Boltzmann equation for unsteady flows with shock waves in narrow channels
cites work: Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation
cites work: A numerical model of the Boltzmann equation related to the discontinuous Galerkin method
cites work: Monte Carlo solution of the Boltzmann equation via a discrete velocity model
cites work: Fast algorithms for computing the Boltzmann collision operator
cites work: Fast methods for the Boltzmann collision integral
cites work: Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation
cites work: A spectral-Lagrangian Boltzmann solver for a multi-energy level gas
cites work: A new consistent discrete-velocity model for the Boltzmann equation
cites work: A Fourier spectral method for homogeneous boltzmann equations
cites work: Q5310943
cites work: Method for solving the Boltzmann kinetic equation for polyatomic gases
cites work: Approximation of the Boltzmann collision operator based on Hermite spectral method
cites work: Deterministic numerical solutions of the Boltzmann equation using the fast spectral method
cites work: A fast spectral method for the Boltzmann equation for monatomic gas mixtures
cites work: A Conservative Discontinuous Galerkin Solver for the Space Homogeneous Boltzmann Equation for Binary Interactions
DOI: 10.1016/J.JCP.2022.111526
description: scientific article; zbMATH DE number 7599591