Uniform Spectral Convergence of the Stochastic Galerkin Method for ...

Title:Uniform Spectral Convergence of the Stochastic Galerkin Method for the Linear Semiconductor Boltzmann Equation with Random Inputs and ...

Uniform spectral convergence of the stochastic Galerkin method for ...

Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a ...

Uniform spectral convergence of the stochastic Galerkin method for ...

The main goal of this paper is to extend the results of [14] to the case of anisotropic scattering. Namely, we first obtain the uniform regularity in the random ...

Uniform spectral convergence of the stochastic Galerkin method for ...

Key words. linear transport equation, random inputs, diffusion limit, uncertainty quantification, stochastic Galerkin method, polyno- mial chaos ...

SPECTRAL CONVERGENCE OF THE STOCHASTIC GALERKIN ...

The new analysis relies on the establishment of a spectral gap for the numerical collision operator. 1. Introduction. Kinetic equations are usually derived from ...

Uniform Spectral Convergence of the Stochastic Galerkin Method for ...

Request PDF | Uniform Spectral Convergence of the Stochastic Galerkin Method for the Linear Semiconductor Boltzmann Equation with Random Inputs and ...

Spectral convergence of the stochastic galerkin approximation to the ...

Spectral convergence of the stochastic galerkin approximation to the boltzmann equation with multiple scales and large random perturbation in the collision ...

Convergence of the spectral Galerkin method for the stochastic ...

We study the convergence of the spectral Galerkin method in solving the stochastic reaction–diffusion–advection equation under different Lipschitz ...

[PDF] Spectral convergence of the stochastic galerkin approximation ...

Spectral convergence of the stochastic galerkin approximation to the boltzmann equation with multiple scales and large random perturbation in the collision ...

UNIFORM SPECTRAL CONVERGENCE OF THE STOCHASTIC ...

Abstract: In this paper, we study the generalized polynomial chaos (gPC) based stochastic Galerkin method for the linear semiconductor Boltzmann equation ...

Spectral Convergence of the Stochastic Galerkin Approximation to ...

... Model. Simult., 16, 1085-1114, 2018], spectral convergence ... Uniform regularity in the random space and spectral accuracy of the stochastic Galerkin method ...

[PDF] A stochastic Galerkin method for the Boltzmann equation with ...

... which then lead to the uniform spectral convergence of the stochastic Galerkin method for the problem under study. Expand. 13 Citations · PDF. Add to Library.

arXiv:1810.12992v2 [math.AP] 28 Jan 2019

Liu, Uniform spectral convergence of the stochastic Galerkin method for the linear semicon- ductor Boltzmann equation with random inputs and ...

An Asymptotic-Preserving Stochastic Galerkin Method for the ...

In this paper, we develop a generalized polynomial chaos approach based stochastic Galerkin (gPC-SG) method for the linear semiconductor Boltzmann equation ...

On the multi-species Boltzmann equation with uncertainty and its ...

Recommended for you · Spectral convergence of the stochastic galerkin approximation to the boltzmann equation with multiple scales and large random perturbation ...

A stochastic Galerkin method for the Boltzmann equation with ...

We show that a simple singular value decomposition of gPC related coefficients combined with the fast Fourier-spectral method (in velocity space) ...

On the convergence of the stochastic Galerkin method for random ...

Mots clés : equations with random data, stochastic Galerkin method, generalized polynomial chaos, spectral methods. BibTeX; RIS; EndNote. @article{M2AN_2013__ ...

NSF Award Search: Award # 1522184 - Multiscale Computational ...

Shi Jin, Jian-Guo Liu and Zheng Ma "Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with ...

DG-IMEX Stochastic Galerkin schemes for Linear Transport ...

Ma, Uniform spectral convergence of the stochastic galerkin method for the linear transport equations with random inputs in diffusive regime and a micro ...

Stochastic Galerkin Method for Discrete-Velocity Boltzmann

Ma, Uniform spectral convergence of the stochastic Galerkin. 1 method for the linear transport equations with random inputs in di↵usive ...