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09/18/2023
Deep smoothness WENO scheme for two-dimensional hyperbolic conservation laws: A deep learning approach for learning smoothness indicators
In this paper, we introduce an improved version of the fifth-order weigh...
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02/03/2023
PINN Training using Biobjective Optimization: The Trade-off between Data Loss and Residual Loss
Physics informed neural networks (PINNs) have proven to be an efficient ...
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08/02/2022
Stochastic Primal-Dual Three Operator Splitting with Arbitrary Sampling and Preconditioning
In this work we propose a stochastic primal-dual preconditioned three-op...
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03/06/2021
Enhanced fifth order WENO Shock-Capturing Schemes with Deep Learning
In this paper we enhance the well-known fifth order WENO shock-capturing...
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02/08/2021
Higher Strong Order Methods for Itô SDEs on Matrix Lie Groups
In this paper we present a general procedure for designing higher strong...
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02/20/2020