Analysis of an Asymptotic Preserving Scheme for Stochastic Linear Kinetic Equations in the Diffusion Limit (Q5237175)

scientific article; zbMATH DE number 7118412

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English	Analysis of an Asymptotic Preserving Scheme for Stochastic Linear Kinetic Equations in the Diffusion Limit	scientific article; zbMATH DE number 7118412

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instance of

scholarly article

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title

Analysis of an Asymptotic Preserving Scheme for Stochastic Linear Kinetic Equations in the Diffusion Limit (English)

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SIAM/ASA Journal on Uncertainty Quantification

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publication date

17 October 2019

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full work available at URL

https://arxiv.org/abs/1803.06130

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zbMATH Keywords

stochastic transport equations

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diffusion limit

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asymptotic preserving scheme

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stability analysis

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MaRDI profile type

MaRDI publication profile

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cites work

Regularity of velocity averages for transport equations on random discrete velocity grids

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The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation

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

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An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit

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An asymptotic preserving scheme based on a micro-macro decomposition for collisional Vlasov equations: diffusion and high-field scaling limits

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Diffusion limit for the radiative transfer equation perturbed by a Wiener process

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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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The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials

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The discrete-ordinate method in diffusive regimes

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Fully-discrete numerical transfer in diffusive regimes

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Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro-macro decomposition-based asymptotic-preserving method

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An Asymptotic-Preserving Stochastic Galerkin Method for the Semiconductor Boltzmann Equation with Random Inputs and Diffusive Scalings

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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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An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit

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Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II

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Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes

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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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Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit

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On the Boltzmann equation with stochastic kinetic transport: global existence of renormalized martingale solutions

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From the BGK model to the Navier–Stokes equations

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Identifiers

DOI

10.1137/18M1175641

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5237175