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06/28/2023
Separable Physics-Informed Neural Networks
Physics-informed neural networks (PINNs) have recently emerged as promis...
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02/17/2023
On the convergence result of the gradient-push algorithm on directed graphs with constant stepsize
Gradient-push algorithm has been widely used for decentralized optimizat...
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11/16/2022
Convergence analysis of unsupervised Legendre-Galerkin neural networks for linear second-order elliptic PDEs
In this paper, we perform the convergence analysis of unsupervised Legen...
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11/16/2022
Separable PINN: Mitigating the Curse of Dimensionality in Physics-Informed Neural Networks
Physics-informed neural networks (PINNs) have emerged as new data-driven...
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07/26/2022
PIXEL: Physics-Informed Cell Representations for Fast and Accurate PDE Solvers
With the increases in computational power and advances in machine learni...
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07/26/2020
Conservative semi-Lagrangian schemes for kinetic equations Part I: Reconstruction
In this paper, we propose and analyse a reconstruction technique which e...
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07/26/2020
Conservative semi-Lagrangian schemes for kinetic equations Part II: Applications
In this paper, we present a new class of conservative semi-Lagrangian sc...
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02/29/2020
