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math.NA2021★ 3 cited
Deep neural networks for geometric multigrid methods
Nils Margenberg, Robert Jendersie, Thomas Richter +1
We investigate scaling and efficiency of the deep neural network multigrid method (DNN-MG). DNN-MG is a novel neural network-based technique for the simulation of the Navier-Stokes…
math.NA2020
A Local Spectral Exterior Calculus for the Sphere and Application to the Shallow Water Equations
Clauson Carvalho da Silva, Christian Lessig, Boyko Dodov +2
We introduce , a local spectral exterior calculus for the two-sphere . provides a discretization of Cartan's exterior calculus on formed by…