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math.NA2019
Stochastic Transport with Lévy Noise -- Fully Discrete Numerical Approximation
Andrea Barth, Andreas Stein
Semilinear hyperbolic stochastic partial differential equations (SPDEs) find widespread applications in the natural and engineering sciences. However, the traditional Gaussian sett…
math.NA2019★ 1 cited
Numerical analysis for time-dependent advection-diffusion problems with random discontinuous coefficients
Andrea Barth, Andreas Stein
Subsurface flows are commonly modeled by advection-diffusion equations. Insufficient measurements or uncertain material procurement may be accounted for by random coefficients. To…
math.NA2019★ 1 cited
A Multilevel Monte Carlo Algorithm for Parabolic Advection-Diffusion Problems with Discontinuous Coefficients
Andrea Barth, Andreas Stein
The Richards' equation is a model for flow of water in unsaturated soils. The coefficients of this (nonlinear) partial differential equation describe the permeability of the medium…