Solving Irregular and Data-enriched Differential Equations using Deep Neural Networks

10 May 2019

Papers citing "Solving Irregular and Data-enriched Differential Equations using Deep Neural Networks"

6 / 6 papers shown

Title
Overview frequency principle/spectral bias in deep learning Z. Xu Yaoyu Zhang Yaoyu Zhang FaML 90 73 0 19 Jan 2022
NeuFENet: Neural Finite Element Solutions with Theoretical Bounds for Parametric PDEs Biswajit Khara Aditya Balu Ameya Joshi Soumik Sarkar Chinmay Hegde A. Krishnamurthy Baskar Ganapathysubramanian 106 20 0 04 Oct 2021
Distributed Multigrid Neural Solvers on Megavoxel Domains Aditya Balu Sergio Botelho Biswajit Khara Vinay Rao Chinmay Hegde Soumik Sarkar Santi S. Adavani A. Krishnamurthy Baskar Ganapathysubramanian AI4CE 110 11 0 29 Apr 2021
Large-scale Neural Solvers for Partial Differential Equations Patrick Stiller Friedrich Bethke M. Böhme R. Pausch Sunna Torge A. Debus J. Vorberger Michael Bussmann Nico Hoffmann AI4CE 73 26 0 08 Sep 2020
PPINN: Parareal Physics-Informed Neural Network for time-dependent PDEs Xuhui Meng Zhen Li Dongkun Zhang George Karniadakis PINN AI4CE 90 456 0 23 Sep 2019
Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning Yufei Wang Ziju Shen Zichao Long Bin Dong AI4CE PINN 77 40 0 27 May 2019