Learning to correct spectral methods for simulating turbulent flows

1 July 2022

Gideon Dresdner

Dmitrii Kochkov

Peter C. Norgaard

Leonardo Zepeda-Núnez

Papers citing "Learning to correct spectral methods for simulating turbulent flows"

28 / 28 papers shown

Title
Integral regularization PINNs for evolution equations Xiaodong Feng Haojiong Shangguan Tao Tang Xiaoliang Wan PINN 68 0 0 31 Mar 2025
Thermalizer: Stable autoregressive neural emulation of spatiotemporal chaos Chris Pedersen L. Zanna Joan Bruna 45 1 0 24 Mar 2025
MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation Qi Wang Yuan Mi Haoran Wang Yi Zhang Ruizhi Chengze Hongsheng Liu J. Wen Hao Sun AI4CE 43 0 0 28 Jan 2025
P $^2$ C $^2$ Net: PDE-Preserved Coarse Correction Network for efficient prediction of spatiotemporal dynamics Qi Wang Pu Ren Hao Zhou Xin-Yang Liu Z. Deng ... Zidong Wang Jian-Xun Wang Ji-Rong_Wen Hao Sun Yang Liu 58 5 0 29 Oct 2024
Active Learning for Neural PDE Solvers Daniel Musekamp Marimuthu Kalimuthu David Holzmüller Makoto Takamoto Carlos Fernandez AI4CE 54 4 0 02 Aug 2024
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations N. McGreivy Ammar Hakim AI4CE 34 43 0 09 Jul 2024
PAPM: A Physics-aware Proxy Model for Process Systems Pengwei Liu Zhongkai Hao Xingyu Ren Hangjie Yuan Jiayang Ren Dong Ni AI4CE PINN 45 0 0 07 Jul 2024
Solving partial differential equations with sampled neural networks Chinmay Datar Taniya Kapoor Abhishek Chandra Qing Sun Iryna Burak Erik Lien Bolager Anna Veselovska Massimo Fornasier Felix Dietrich 35 1 0 31 May 2024
Spectral-Refiner: Accurate Fine-Tuning of Spatiotemporal Fourier Neural Operator for Turbulent Flows Shuhao Cao Francesco Brarda Ruipeng Li Yuanzhe Xi 44 1 0 27 May 2024
SineNet: Learning Temporal Dynamics in Time-Dependent Partial Differential Equations Xuan Zhang Jacob Helwig Yu-Ching Lin Yaochen Xie Cong Fu Stephan Wojtowytsch Shuiwang Ji AI4CE 37 6 0 28 Mar 2024
Probabilistic Forecasting with Stochastic Interpolants and Föllmer Processes Yifan Chen Mark Goldstein Mengjian Hua M. S. Albergo Nicholas M. Boffi Eric Vanden-Eijnden AI4TS 33 16 0 20 Mar 2024
Generative Learning for Forecasting the Dynamics of Complex Systems Han Gao Sebastian Kaltenbach Petros Koumoutsakos AI4TS AI4CE 32 6 0 27 Feb 2024
Rolling Diffusion Models David Ruhe Jonathan Heek Tim Salimans Emiel Hoogeboom DiffM 35 33 0 12 Feb 2024
DySLIM: Dynamics Stable Learning by Invariant Measure for Chaotic Systems Yair Schiff Zhong Yi Wan Jeffrey B. Parker Stephan Hoyer Volodymyr Kuleshov Fei Sha Leonardo Zepeda-Núnez 36 12 0 06 Feb 2024
Neural Spectral Methods: Self-supervised learning in the spectral domain Yiheng Du N. Chalapathi Aditi Krishnapriyan 22 6 0 08 Dec 2023
Deep Equilibrium Based Neural Operators for Steady-State PDEs Tanya Marwah Ashwini Pokle J. Zico Kolter Zachary Chase Lipton Jianfeng Lu Andrej Risteski 25 8 0 30 Nov 2023
Gradient-free online learning of subgrid-scale dynamics with neural emulators Hugo Frezat Ronan Fablet G. Balarac Julien Le Sommer 21 4 0 30 Oct 2023
TSONN: Time-stepping-oriented neural network for solving partial differential equations W. Cao Weiwei Zhang AI4TS 18 1 0 25 Oct 2023
Multiple Physics Pretraining for Physical Surrogate Models Michael McCabe Bruno Régaldo-Saint Blancard Liam Parker Ruben Ohana M. Cranmer ... Francois Lanusse Mariel Pettee Tiberiu Teşileanu Kyunghyun Cho Shirley Ho PINN AI4CE 34 52 0 04 Oct 2023
Towards Long-Term predictions of Turbulence using Neural Operators Fernando González Franccois-Xavier Demoulin Simon Bernard AI4CE 22 0 0 25 Jul 2023
Neural Ideal Large Eddy Simulation: Modeling Turbulence with Neural Stochastic Differential Equations Anudhyan Boral Z. Y. Wan Leonardo Zepeda-Núnez James Lottes Qing Wang Yi-fan Chen John R. Anderson Fei Sha AI4CE PINN 27 11 0 01 Jun 2023
Debias Coarsely, Sample Conditionally: Statistical Downscaling through Optimal Transport and Probabilistic Diffusion Models Z. Y. Wan Ricardo Baptista Yi-fan Chen John R. Anderson Anudhyan Boral Fei Sha Leonardo Zepeda-Núnez DiffM 41 24 0 24 May 2023
Invariant preservation in machine learned PDE solvers via error correction N. McGreivy Ammar Hakim AI4CE PINN 29 8 0 28 Mar 2023
A Neural PDE Solver with Temporal Stencil Modeling Zhiqing Sun Yiming Yang Shinjae Yoo DiffM AI4CE 24 14 0 16 Feb 2023
Algorithmically Designed Artificial Neural Networks (ADANNs): Higher order deep operator learning for parametric partial differential equations Arnulf Jentzen Adrian Riekert Philippe von Wurstemberger 29 1 0 07 Feb 2023
Evolve Smoothly, Fit Consistently: Learning Smooth Latent Dynamics For Advection-Dominated Systems Z. Y. Wan Leonardo Zepeda-Núnez Anudhyan Boral Fei Sha BDL AI4CE 11 13 0 25 Jan 2023
On Fast Simulation of Dynamical System with Neural Vector Enhanced Numerical Solver Zhongzhan Huang Senwei Liang Hong Zhang Haizhao Yang Liang Lin AI4CE 38 8 0 07 Aug 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 220 2,287 0 18 Oct 2020