Computational uncertainty quantification for some strongly degenerate parabolic convection-diffusion equations

DOI10.1016/j.cam.2018.09.006zbMath1462.65124OpenAlexW2890144937MaRDI QIDQ1757392

Ilja Kröker, Raimund Bürger

Publication date: 4 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2018.09.006

zbMATH Keywords

finite volume methoduncertainty quantificationpolynomial chaostraffic modellinghybrid stochastic Galerkinclarifier-thickener model

Mathematics Subject Classification ID

Diffusion (76R50) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs with randomness, stochastic partial differential equations (35R60) 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) Traffic and pedestrian flow models (76A30)

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Particular solutions to one-dimensional Cauchy problems for scalar parabolic-hyperbolic conservation laws and their applications ⋮ Gaussian active learning on multi-resolution arbitrary polynomial chaos emulator: concept for bias correction, assessment of surrogate reliability and its application to the carbon dioxide benchmark ⋮ High order hybrid asymptotic augmented finite volume methods for nonlinear degenerate wave equations ⋮ Global sensitivity analysis using multi-resolution polynomial chaos expansion for coupled Stokes-Darcy flow problems ⋮ Traveling waves to one-dimensional Cauchy problems for scalar parabolic-hyperbolic conservation laws ⋮ Similarity solution and heat transfer characteristics for a class of nonlinear convection-diffusion equation with initial value conditions

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