Convergence Analysis for Spectral Approximation to a Scalar Transport Equation with a Random Wave Speed

DOI10.4208/jcm.1206-m4012zbMath1289.65012OpenAlexW2141055184MaRDI QIDQ2858409

Tao Tang, Tao Zhou

Publication date: 19 November 2013

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/90e37c64908523bbe851882421858840d8d757aa

zbMATH Keywords

error boundsspectral convergencestochastic collocationanalytic regularityscalar transport equationsstochastic Galerkin

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

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The discrete stochastic Galerkin method for hyperbolic equations with non-smooth and random coefficients ⋮ Hypocoercivity and Uniform Regularity for the Vlasov--Poisson--Fokker--Planck System with Uncertainty and Multiple Scales ⋮ Uniform spectral convergence of the stochastic Galerkin method for the linear semiconductor Boltzmann equation with random inputs and diffusive scaling ⋮ Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations

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