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09/27/2022
A generalized framework for direct discontinuous Galerkin methods for nonlinear diffusion equations
In this study, we propose a unified, general framework for the direct di...
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07/09/2022
Cell-average based neural network method for high dimensional parabolic differential equations
In this paper, we introduce cell-average based neural network (CANN) met...
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07/02/2021
Cell-average based neural network method for hyperbolic and parabolic partial differential equations
Motivated by finite volume scheme, a cell-average based neural network m...
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04/20/2021
A new direct discontinuous Galerkin method with interface correction for two-dimensional compressible Navier-Stokes equations
We propose a new formula for the nonlinear viscous numerical flux and ex...
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01/10/2021