Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: space-homogeneous case
From MaRDI portal
Publication:2123857
DOI10.1016/j.jcp.2020.109822OpenAlexW3011092311MaRDI QIDQ2123857
Lorenzo Pareschi, Mattia Zanella
Publication date: 14 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.06716
Boltzmann equationkinetic equationsuncertainty quantificationdirect simulation Monte Carlo methodsstochastic Galerkin methods
Related Items (9)
Efficient uncertain \(k_{\mathrm{eff}}\) computations with the Monte Carlo resolution of generalised polynomial chaos based reduced models ⋮ Efficient uncertainty propagation for photonics: combining implicit semi-analog Monte Carlo (ISMC) and Monte Carlo generalised polynomial chaos (MC-gPC) ⋮ Stochastic Galerkin methods for the Boltzmann-Poisson system ⋮ Monte Carlo stochastic Galerkin methods for non-Maxwellian kinetic models of multiagent systems with uncertainties ⋮ Numerical Analysis of the Monte-Carlo Noise for the Resolution of the Deterministic and Uncertain Linear Boltzmann Equation (Comparison of Non-Intrusive gPC and MC-gPC) ⋮ Stochastic Galerkin particle methods for kinetic equations of plasmas with uncertainties ⋮ Uncertainty Quantification for the BGK Model of the Boltzmann Equation Using Multilevel Variance Reduced Monte Carlo Methods ⋮ Multivariate error modeling and uncertainty quantification using importance (re-)weighting for Monte Carlo simulations in particle transport ⋮ Multigroup-like MC resolution of generalised polynomial chaos reduced models of the uncertain linear Boltzmann equation (+discussion on hybrid intrusive/non-intrusive uncertainty propagation)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mathematics of granular materials
- A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation
- The Boltzmann equation and its applications
- A stochastic Galerkin method for the Fokker-Planck-Landau equation with random uncertainties
- Modeling and computational methods for kinetic equations
- A gPC-intrusive Monte-Carlo scheme for the resolution of the uncertain linear Boltzmann equation
- Multi-scale control variate methods for uncertainty quantification in kinetic equations
- On stochastic Galerkin approximation of the nonlinear Boltzmann equation with uncertainty in the fluid regime
- A bi-fidelity method for the multiscale Boltzmann equation with random parameters
- Monte Carlo gPC methods for diffusive kinetic flocking models with uncertainties
- A stochastic Galerkin method for the Boltzmann equation with uncertainty
- An introduction to Monte Carlo method for the Boltzmann equation
- Time Relaxed Monte Carlo Methods for the Boltzmann Equation
- General Kinetic Models for Vehicular Traffic Flows and Monte-Carlo Methods
- Particle, kinetic, and hydrodynamic models of swarming
- A Stochastic Galerkin Method for the Boltzmann Equation with Multi-Dimensional Random Inputs Using Sparse Wavelet Bases
- On a simulation scheme for the Boltzmann equation
- On simulation methods for the Boltzmann equation
- A Convergence Proof for Nanbu’s Simulation Method for the Full Boltzmann Equation
- Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator
- Hypocoercivity and Uniform Regularity for the Vlasov--Poisson--Fokker--Planck System with Uncertainty and Multiple Scales
- Numerical methods for kinetic equations
- Hypocoercivity Based Sensitivity Analysis and Spectral Convergence of the Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs
- Particle Based gPC Methods for Mean-Field Models of Swarming with Uncertainty
- Multiscale Variance Reduction Methods Based on Multiple Control Variates for Kinetic Equations with Uncertainties
- An Asymptotic-Preserving Stochastic Galerkin Method for the Semiconductor Boltzmann Equation with Random Inputs and Diffusive Scalings
This page was built for publication: Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: space-homogeneous case
