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A bi-fidelity method for the multiscale Boltzmann equation with random parameters - MaRDI portal

A bi-fidelity method for the multiscale Boltzmann equation with random parameters (Q2222790)

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English	A bi-fidelity method for the multiscale Boltzmann equation with random parameters	scientific article

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scholarly article

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A bi-fidelity method for the multiscale Boltzmann equation with random parameters (English)

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Journal of Computational Physics

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publication date

27 January 2021

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full work available at URL

https://arxiv.org/abs/1905.09023

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zbMATH Keywords

Boltzmann equation

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uncertainty

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bifidelity models

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multiple scales

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stochastic collocation

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MaRDI profile type

MaRDI publication profile

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A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

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Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation

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Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics

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Sparse high order FEM for elliptic sPDEs

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From the Boltzmann equation to the incompressible Navier-Stokes equations on the torus: a quantitative error estimate

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The fluid dynamic limit of the nonlinear boltzmann equation

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The Boltzmann equation and its applications

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Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients

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Approximation of high-dimensional parametric PDEs

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Numerical Passage from Kinetic to Fluid Equations

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Spectral convergence of the stochastic Galerkin approximation to the Boltzmann equation with multiple scales and large random perturbation in the collision kernel

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A smooth transition model between kinetic and hydrodynamic equations

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Greedy algorithms for reduced bases in Banach spaces

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Exponential Runge–Kutta Methods for Stiff Kinetic Equations

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Numerical methods for kinetic equations

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Multi-scale control variate methods for uncertainty quantification in kinetic equations

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Uncertainty quantification for kinetic models in socio-economic and life sciences

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On the Cauchy problem for Boltzmann equations: Global existence and weak stability

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A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources

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A Fast Spectral Method for the Boltzmann Collision Operator with General Collision Kernels

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Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations

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Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states

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Multilevel Monte Carlo Path Simulation

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Stochastic finite element methods for partial differential equations with random input data

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Local Hilbert expansion for the Boltzmann equation

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Practical error bounds for a non-intrusive bi-fidelity approach to parametric/stochastic model reduction

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Uncertainty quantification for kinetic equations

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On stochastic Galerkin approximation of the nonlinear Boltzmann equation with uncertainty in the fluid regime

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Stochastic galerkin and collocation methods for quantifying uncertainty in differential equations: a review

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Remarks on the Acoustic Limit for the Boltzmann Equation

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Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations

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Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations

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Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings

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Predicting the output from a complex computer code when fast approximations are available

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An Asymptotic Preserving Numerical Scheme for Kinetic Equations in the Low Mach Number Limit

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A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit

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Uniform Regularity for Linear Kinetic Equations with Random Input Based on Hypocoercivity

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Uniform spectral convergence of the stochastic Galerkin method for the linear semiconductor Boltzmann equation with random inputs and diffusive scaling

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A stochastic asymptotic-preserving scheme for the bipolar semiconductor Boltzmann-Poisson system with random inputs and diffusive scalings

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Hypocoercivity Based Sensitivity Analysis and Spectral Convergence of the Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs

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Fast algorithms for computing the Boltzmann collision operator

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A Stochastic Collocation Algorithm with Multifidelity Models

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Stochastic Collocation Methods on Unstructured Grids in High Dimensions via Interpolation

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A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

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Corrigendum to: ``Multi-fidelity non-intrusive polynomial chaos based on regression''

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Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator

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Multifidelity importance sampling

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Optimal Model Management for Multifidelity Monte Carlo Estimation

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Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling

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A Stochastic Galerkin Method for the Boltzmann Equation with Multi-Dimensional Random Inputs Using Sparse Wavelet Bases

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Uniform regularity in the random space and spectral accuracy of the stochastic Galerkin method for a kinetic-fluid two-phase flow model with random initial inputs in the light particle regime

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AN ADAPTIVE MULTIFIDELITY PC-BASED ENSEMBLE KALMAN INVERSION FOR INVERSE PROBLEMS

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Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems

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Computational Aspects of Stochastic Collocation with Multifidelity Models

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JCP.2019.108914

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Sitelinks

Mathematics(1 entry)

mardi Publication:2222790

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