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physics.comp-ph2022★ 3 cited
Cross-mode Stabilized Stochastic Shallow Water Systems Using Stochastic Finite Element Methods
Chen Chen, Clint Dawson, Eirik Valseth
The development of surrogate models to study uncertainties in hydrologic systems requires significant effort in the development of sampling strategies and forward model simulations…
physics.comp-ph2010★ 29 cited
Adaptive hierarchic transformations for dynamically -enriched slope-limiting over discontinuous Galerkin systems of generalized equations
C. Michoski, C. Mirabito, C. Dawson +3
We study a family of generalized slope limiters in two dimensions for Runge-Kutta discontinuous Galerkin (RKDG) solutions of advection--diffusion systems. We analyze the numerical…