High order approximation of probabilistic shock profiles in hyperbolic conservation laws with uncertain initial data

DOI10.1051/m2an/2012060zbMath1266.65008OpenAlexW2151045369MaRDI QIDQ5299857

Publication date: 24 June 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2012060

zbMATH Keywords

hyperbolic conservation laws uncertainty quantification probabilistic shock profile stochastic Galerkin finite volume schemes

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical solutions to stochastic differential and integral equations (65C30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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