Multigroup-like MC resolution of generalised polynomial chaos reduced models of the uncertain linear Boltzmann equation (+discussion on hybrid intrusive/non-intrusive uncertainty propagation)
From MaRDI portal
Publication:2112538
DOI10.1016/j.jcp.2022.111825OpenAlexW4221155429MaRDI QIDQ2112538
Publication date: 11 January 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111825
Stochastic analysis (60Hxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Probabilistic methods, stochastic differential equations (65Cxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A novel weakly-intrusive non-linear multiresolution framework for uncertainty quantification in hyperbolic partial differential equations
- Grid and basis adaptive polynomial chaos techniques for sensitivity and uncertainty analysis
- Uncertainty propagation using Wiener-Haar expansions
- Multi-resolution analysis of Wiener-type uncertainty propagation schemes
- A gPC-based approach to uncertain transonic aerodynamics
- Asymptotic diffusion limit of cell temperature discretisation schemes for thermal radiation transport
- A new implicit Monte-Carlo scheme for photonics (without teleportation error and without tilts)
- Multi-element probabilistic collocation method in high dimensions
- Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach
- Robust and accurate filtered spherical harmonics expansions for radiative transfer
- Propagation of probabilistic uncertainty in complex physical systems using a stochastic finite element approach
- An efficient, robust, domain-decomposition algorithm for particle Monte Carlo
- Monte-Carlo methods for the transport and diffusion equations
- Comparison of implicit and symbolic implicit Monte Carlo line transport with frequency weight vector extension
- Efficient model reduction in nonlinear dynamics using the Karhunen-Loève expansion and dual-weighted-residual methods
- Asymptotic diffusion limit of the symbolic Monte-Carlo method for the transport equation.
- Kinetic models of collective decision-making in the presence of equality bias
- An unsplit Monte-Carlo solver for the resolution of the linear Boltzmann equation coupled to (stiff) Bateman equations
- Spectral convergence of the generalized polynomial chaos reduced model obtained from the uncertain linear Boltzmann equation
- Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty
- Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: space-homogeneous case
- Intrusive acceleration strategies for uncertainty quantification for hyperbolic systems of conservation laws
- Efficient uncertain \(k_{\mathrm{eff}}\) computations with the Monte Carlo resolution of generalised polynomial chaos based reduced models
- Multi-frequency implicit semi-analog Monte-Carlo (ISMC) radiative transfer solver in two-dimensions (without teleportation)
- Efficient uncertainty propagation for photonics: combining implicit semi-analog Monte Carlo (ISMC) and Monte Carlo generalised polynomial chaos (MC-gPC)
- A gPC-intrusive Monte-Carlo scheme for the resolution of the uncertain linear Boltzmann equation
- Monte Carlo gPC methods for diffusive kinetic flocking models with uncertainties
- A hyperbolicity-preserving discontinuous stochastic Galerkin scheme for uncertain hyperbolic systems of equations
- A stochastic particle-mesh scheme for uncertainty propagation in vortical flows
- Beyond Wiener-Askey expansions: handling arbitrary PDFs
- Karhunen-Loève approximation of random fields by generalized fast multipole methods
- An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport
- The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
- On the convergence of generalized polynomial chaos expansions
- Probabilistic collocation used in a Two-Step approached for efficient uncertainty quantification in computational fluid dynamics
- Uncertainty Propagation; Intrusive Kinetic Formulations of Scalar Conservation Laws
- On a Monte Carlo method for neutron transport criticality computations
- Stochastic finite element: a non intrusive approach by regression
- A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- Asymptotic analysis of transport processes
- Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws
- Canceling Teleportation Error in Legacy IMC Code for Photonics (Without Tilts, With Simple Minimal Modifications)
- Basics and Trends in Sensitivity Analysis
- POLYNOMIAL-CHAOS-BASED KRIGING
- Reducing the Spatial Discretization Error of Thermal Emission in Implicit Monte Carlo Simulations
- 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)
- Particle Based gPC Methods for Mean-Field Models of Swarming with Uncertainty
- To Be or Not to Be Intrusive? The Solution of Parametric and Stochastic Equations---the “Plain Vanilla” Galerkin Case
- Maximum-principle-satisfying second-order Intrusive Polynomial Moment scheme
- Comparison of Surrogate-Based Uncertainty Quantification Methods for Computationally Expensive Simulators
- Sensitivity analysis of large-eddy simulations to subgrid-scale-model parametric uncertainty using polynomial chaos
- High-Order Collocation Methods for Differential Equations with Random Inputs
- A stochastic projection method for fluid flow. I: Basic formulation
This page was built for publication: Multigroup-like MC resolution of generalised polynomial chaos reduced models of the uncertain linear Boltzmann equation (+discussion on hybrid intrusive/non-intrusive uncertainty propagation)
