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06/20/2022
Nonlinear inhomogeneous Fokker-Planck models: energetic-variational structures and long time behavior
Inspired by the modeling of grain growth in polycrystalline materials, w...
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08/26/2021
Non-Dissipative and Structure-Preserving Emulators via Spherical Optimization
Approximating a function with a finite series, e.g., involving polynomia...
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06/27/2021
A stochastic model of grain boundary dynamics: A Fokker-Planck perspective
Many technologically useful materials are polycrystals composed of small...
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05/15/2021
Grain Growth and the Effect of Different Time Scales
Many technologically useful materials are polycrystals composed of a myr...
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04/22/2021
Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Two-Dimensional Shallow Water Equations
Stochastic Galerkin formulations of the two-dimensional shallow water sy...
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11/12/2020
Adaptive Central-Upwind Scheme on Triangular Grids for the Saint-Venant System
In this work, we develop a robust adaptive well-balanced and positivity-...
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08/18/2020