Composing Partial Differential Equations with Physics-Aware Neural
Networks

Composing Partial Differential Equations with Physics-Aware Neural Networks

23 November 2021

Matthias Karlbauer

Martin Volker Butz

Papers citing "Composing Partial Differential Equations with Physics-Aware Neural Networks"

15 / 15 papers shown

Title
Inferring Underwater Topography with FINN Coşku Can Horuz Matthias Karlbauer T. Praditia S. Oladyshkin Wolfgang Nowak Sebastian Otte AI4CE 19 0 0 20 Aug 2024
PAPM: A Physics-aware Proxy Model for Process Systems Pengwei Liu Zhongkai Hao Xingyu Ren Hangjie Yuan Jiayang Ren Dong Ni AI4CE PINN 27 0 0 07 Jul 2024
JAX-SPH: A Differentiable Smoothed Particle Hydrodynamics Framework Artur P. Toshev Harish D. Ramachandran Jonas A. Erbesdobler Gianluca Galletti Johannes Brandstetter Nikolaus A. Adams 41 2 0 07 Mar 2024
PARCv2: Physics-aware Recurrent Convolutional Neural Networks for Spatiotemporal Dynamics Modeling Phong C. H. Nguyen Xinlun Cheng Shahab Azarfar P. Seshadri Y. Nguyen Munho Kim Sanghun Choi H. Udaykumar Stephen Seung-Yeob Baek AI4CE PINN 25 1 0 19 Feb 2024
Neural SPH: Improved Neural Modeling of Lagrangian Fluid Dynamics Artur P. Toshev Jonas A. Erbesdobler Nikolaus A. Adams Johannes Brandstetter AI4CE 38 2 0 09 Feb 2024
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology Qingsong Xu Yilei Shi Jonathan Bamber Ye Tuo Ralf Ludwig Xiao Xiang Zhu AI4CE 15 9 0 08 Oct 2023
GNRK: Graph Neural Runge-Kutta method for solving partial differential equations Hoyun Choi Sungyeop Lee B. Kahng Junghyo Jo AI4CE 21 1 0 01 Oct 2023
Machine learning of hidden variables in multiscale fluid simulation A. Joglekar A. Thomas AI4CE 42 8 0 19 Jun 2023
Inductive biases in deep learning models for weather prediction Jannik Thümmel Matthias Karlbauer S. Otte C. Zarfl Georg Martius ... Thomas Scholten Ulrich Friedrich V. Wulfmeyer B. Goswami Martin Volker Butz AI4CE 28 4 0 06 Apr 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation Rui Zhang Qi Meng Rongchan Zhu Yue Wang Wenlei Shi Shihua Zhang Zhi-Ming Ma Tie-Yan Liu DiffM AI4CE 44 4 0 10 Feb 2023
PDEBENCH: An Extensive Benchmark for Scientific Machine Learning M. Takamoto T. Praditia Raphael Leiteritz Dan MacKinlay Francesco Alesiani Dirk Pflüger Mathias Niepert AI4CE 14 129 0 13 Oct 2022
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 197 2,254 0 18 Oct 2020
Disentangling Physical Dynamics from Unknown Factors for Unsupervised Video Prediction Vincent Le Guen Nicolas Thome AI4CE PINN 78 284 0 03 Mar 2020
Building machines that adapt and compute like brains Brenden Lake J. Tenenbaum AI4CE FedML NAI AILaw 243 893 0 11 Nov 2017
Convolutional LSTM Network: A Machine Learning Approach for Precipitation Nowcasting Xingjian Shi Zhourong Chen Hao Wang Dit-Yan Yeung W. Wong W. Woo 195 7,816 0 13 Jun 2015