Koopman neural operator as a mesh-free solver of non-linear partial
differential equations

Koopman neural operator as a mesh-free solver of non-linear partial differential equations

24 January 2023

Papers citing "Koopman neural operator as a mesh-free solver of non-linear partial differential equations"

15 / 15 papers shown

Title
MeshONet: A Generalizable and Efficient Operator Learning Method for Structured Mesh Generation Jing Xiao Xinhai Chen Qingling Wang Jie Liu AI4CE 26 0 0 21 Jan 2025
LE-PDE++: Mamba for accelerating PDEs Simulations Aoming Liang Zhaoyang Mu Qi liu Ruipeng Li Mingming Ge Dixia Fan AI4CE 27 0 0 04 Nov 2024
Deep Koopman-layered Model with Universal Property Based on Toeplitz Matrices Yuka Hashimoto Tomoharu Iwata 23 0 0 03 Oct 2024
$M$^{2}$M: Learning controllable Multi of experts and multi-scale operators are the Partial Differential Equations need$ M $^{2}$ M: Learning controllable Multi of experts and multi-scale operators are the Partial Differential Equations need Aoming Liang Zhaoyang Mu Pengxiao Lin Cong Wang Mingming Ge Ling Shao Dixia Fan Hao Tang AI4CE 26 0 0 01 Oct 2024
MetMamba: Regional Weather Forecasting with Spatial-Temporal Mamba Model Haoyu Qin Yungang Chen Qianchuan Jiang Pengchao Sun Xiancai Ye Chao Lin Mamba AI4CE 23 1 0 12 Aug 2024
PIC2O-Sim: A Physics-Inspired Causality-Aware Dynamic Convolutional Neural Operator for Ultra-Fast Photonic Device FDTD Simulation Pingchuan Ma Haoyu Yang Zhengqi Gao Duane S. Boning Jiaqi Gu 21 3 0 24 Jun 2024
CoNO: Complex Neural Operator for Continous Dynamical Physical Systems Karn Tiwari N. M. A. Krishnan P. PrathoshA 18 0 0 01 Jun 2024
Harnessing the Power of Neural Operators with Automatically Encoded Conservation Laws Ning Liu Yiming Fan Xianyi Zeng Milan Klöwer Lu Zhang Yue Yu AI4CE 11 8 0 18 Dec 2023
Improved Operator Learning by Orthogonal Attention Zipeng Xiao Zhongkai Hao Bokai Lin Zhijie Deng Hang Su 11 11 0 19 Oct 2023
CFDBench: A Large-Scale Benchmark for Machine Learning Methods in Fluid Dynamics Yining Luo Yingfa Chen Zhen Zhang AI4CE 13 1 0 13 Sep 2023
Capturing the Diffusive Behavior of the Multiscale Linear Transport Equations by Asymptotic-Preserving Convolutional DeepONets Keke Wu Xiongbin Yan Shi Jin Zheng Ma 12 6 0 28 Jun 2023
Koopa: Learning Non-stationary Time Series Dynamics with Koopman Predictors Yong Liu Chenyu Li Jianmin Wang Mingsheng Long AI4TS 12 101 0 30 May 2023
Solving High-Dimensional PDEs with Latent Spectral Models Haixu Wu Tengge Hu Huakun Luo Jianmin Wang Mingsheng Long AI4CE 57 36 0 30 Jan 2023
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries Zong-Yi Li Daniel Zhengyu Huang Burigede Liu Anima Anandkumar AI4CE 108 243 0 11 Jul 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 203 2,254 0 18 Oct 2020