Message Passing Neural PDE Solvers

7 February 2022

Johannes Brandstetter

Papers citing "Message Passing Neural PDE Solvers"

50 / 54 papers shown

Title
CodePDE: An Inference Framework for LLM-driven PDE Solver Generation Shanda Li Tanya Marwah Junhong Shen W. Sun Andrej Risteski Yiming Yang Ameet Talwalkar AI4CE 29 0 0 13 May 2025
Exploring Design Choices for Autoregressive Deep Learning Climate Models Florian Gallusser Simon Hentschel Anna Krause Andreas Hotho AI4Cl 32 0 0 05 May 2025
DISCO: learning to DISCover an evolution Operator for multi-physics-agnostic prediction Rudy Morel Jiequn Han Edouard Oyallon AI4CE 51 0 0 28 Apr 2025
MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation Qi Wang Yuan Mi H. Wang Yi Zhang Ruizhi Chengze Hongsheng Liu J. Wen Hao Sun AI4CE 38 0 0 28 Jan 2025
NeuralDEM -- Real-time Simulation of Industrial Particulate Flows Benedikt Alkin Tobias Kronlachner Samuele Papa Stefan Pirker Thomas Lichtenegger Johannes Brandstetter PINN AI4CE 38 1 1 14 Nov 2024
Unsupervised Representation Learning from Sparse Transformation Analysis Yue Song Thomas Anderson Keller Yisong Yue Pietro Perona Max Welling DRL 29 0 0 07 Oct 2024
Zebra: In-Context and Generative Pretraining for Solving Parametric PDEs Louis Serrano Armand K. Koupai Thomas X. Wang Pierre Erbacher Patrick Gallinari AI4CE 26 3 0 04 Oct 2024
PhyMPGN: Physics-encoded Message Passing Graph Network for spatiotemporal PDE systems Bocheng Zeng Qi Wang M. Yan Y. Liu Ruizhi Chengze Yi Zhang Hongsheng Liu Zidong Wang Hao Sun AI4CE 21 3 0 02 Oct 2024
A domain decomposition-based autoregressive deep learning model for unsteady and nonlinear partial differential equations Sheel Nidhan Haoliang Jiang Lalit Ghule C. Umphrey Rishikesh Ranade Jay Pathak AI4CE 34 0 0 26 Aug 2024
Active Learning for Neural PDE Solvers Daniel Musekamp Marimuthu Kalimuthu David Holzmüller Makoto Takamoto Carlos Fernandez AI4CE 41 4 0 02 Aug 2024
Graph Neural Reaction Diffusion Models Moshe Eliasof Eldad Haber Eran Treister DiffM AI4CE 26 2 0 16 Jun 2024
Flexible SE(2) graph neural networks with applications to PDE surrogates Maria Bånkestad Olof Mogren Aleksis Pirinen 39 1 0 30 May 2024
Learning from Linear Algebra: A Graph Neural Network Approach to Preconditioner Design for Conjugate Gradient Solvers Vladislav Trifonov Alexander Rudikov Oleg Iliev Ivan V. Oseledets Ekaterina A. Muravleva Ekaterina Muravleva 32 2 0 24 May 2024
From Fourier to Neural ODEs: Flow Matching for Modeling Complex Systems Xin Li Jingdong Zhang Qunxi Zhu Chengli Zhao Xue Zhang Xiaojun Duan Wei Lin 35 3 0 19 May 2024
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training Zhongkai Hao Chang Su Songming Liu Julius Berner Chengyang Ying Hang Su A. Anandkumar Jian Song Jun Zhu AI4TS AI4CE 22 21 0 06 Mar 2024
Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators Benedikt Alkin Andreas Fürst Simon Schmid Lukas Gruber Markus Holzleitner Johannes Brandstetter PINN AI4CE 35 8 0 19 Feb 2024
DeepLag: Discovering Deep Lagrangian Dynamics for Intuitive Fluid Prediction Qilong Ma Haixu Wu Lanxiang Xing Jianmin Wang Mingsheng Long AI4CE 19 0 0 04 Feb 2024
Equivariant Graph Neural Operator for Modeling 3D Dynamics Minkai Xu Jiaqi Han Aaron Lou Jean Kossaifi Arvind Ramanathan Kamyar Azizzadenesheli J. Leskovec Stefano Ermon A. Anandkumar AI4CE 24 16 0 19 Jan 2024
Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material Responses S. Jafarzadeh Stewart Silling Ning Liu Zhongqiang Zhang Yue Yu AI4CE 19 15 0 11 Jan 2024
GIT-Net: Generalized Integral Transform for Operator Learning Chao Wang Alexandre H. Thiery AI4CE 16 0 0 05 Dec 2023
Deciphering and integrating invariants for neural operator learning with various physical mechanisms Rui Zhang Qi Meng Zhi-Ming Ma AI4CE 21 7 0 24 Nov 2023
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 18 9 0 08 Oct 2023
LagrangeBench: A Lagrangian Fluid Mechanics Benchmarking Suite Stefania Costantini Gianluca Galletti Fabian Fritz Stefan Adami Nikolaus A. Adams 30 13 0 28 Sep 2023
Efficient Neural PDE-Solvers using Quantization Aware Training W.V.S.O. van den Dool Tijmen Blankevoort Max Welling Yuki M. Asano MQ 25 3 0 14 Aug 2023
Fast Dynamic 1D Simulation of Divertor Plasmas with Neural PDE Surrogates Y. Poels G. Derks E. Westerhof Koen Minartz Sven Wiesen Vlado Menkovski 3DGS AI4CE 16 15 0 30 May 2023
Stability of implicit neural networks for long-term forecasting in dynamical systems Léon Migus J. Salomon Patrick Gallinari AI4TS AI4CE 24 1 0 26 May 2023
Physics Informed Token Transformer for Solving Partial Differential Equations Cooper Lorsung Zijie Li Amir Barati Farimani AI4CE 24 15 0 15 May 2023
On the Relationships between Graph Neural Networks for the Simulation of Physical Systems and Classical Numerical Methods Artur P. Toshev Ludger Paehler A. Panizza Nikolaus A. Adams AI4CE PINN 11 5 0 31 Mar 2023
Machine Learning for Partial Differential Equations Steven L. Brunton J. Nathan Kutz AI4CE 24 20 0 30 Mar 2023
CONFIDE: Contextual Finite Differences Modelling of PDEs Ori Linial Orly Avner Dotan Di Castro 34 0 0 28 Mar 2023
MetaPhysiCa: OOD Robustness in Physics-informed Machine Learning S Chandra Mouli M. A. Alam Bruno Ribeiro OOD 10 4 0 06 Mar 2023
NeuralStagger: Accelerating Physics-constrained Neural PDE Solver with Spatial-temporal Decomposition Xinquan Huang Wenlei Shi Qi Meng Yue Wang Xiaotian Gao Jia Zhang Tie-Yan Liu AI4CE 14 8 0 20 Feb 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
Learning PDE Solution Operator for Continuous Modeling of Time-Series Yesom Park Jaemoo Choi Changyeon Yoon Changhoon Song Myung-joo Kang AI4TS AI4CE 8 3 0 02 Feb 2023
Neural Inverse Operators for Solving PDE Inverse Problems Roberto Molinaro Yunan Yang Bjorn Engquist Siddhartha Mishra AI4CE 19 35 0 26 Jan 2023
Solving Inverse Physics Problems with Score Matching Benjamin Holzschuh S. Vegetti Nils Thuerey DiffM 11 8 0 24 Jan 2023
Continuous Depth Recurrent Neural Differential Equations Srinivas Anumasa Geetakrishnasai Gunapati P. K. Srijith AI4TS 14 0 0 28 Dec 2022
A Physics-informed Diffusion Model for High-fidelity Flow Field Reconstruction Dule Shu Zijie Li A. Farimani DiffM AI4CE 30 121 0 26 Nov 2022
Exploring Physical Latent Spaces for High-Resolution Flow Restoration Chloé Paliard Nils Thuerey Kiwon Um AI4CE 13 0 0 21 Nov 2022
Simulation-Based Parallel Training Lucas Meyer Alejandro Ribés Bruno Raffin AI4CE 21 2 0 08 Nov 2022
Neural Network Approximations of PDEs Beyond Linearity: A Representational Perspective Tanya Marwah Zachary Chase Lipton Jianfeng Lu Andrej Risteski 37 10 0 21 Oct 2022
Tunable Complexity Benchmarks for Evaluating Physics-Informed Neural Networks on Coupled Ordinary Differential Equations Alexander New B. Eng A. Timm A. Gearhart 12 4 0 14 Oct 2022
Guaranteed Conservation of Momentum for Learning Particle-based Fluid Dynamics L. Prantl Benjamin Ummenhofer V. Koltun Nils Thuerey AI4CE PINN 19 29 0 12 Oct 2022
Koopman Neural Forecaster for Time Series with Temporal Distribution Shifts Rui Wang Yihe Dong Sercan Ö. Arik Rose Yu AI4TS 28 22 0 07 Oct 2022
Towards Learned Simulators for Cell Migration Koen Minartz Y. Poels Vlado Menkovski 17 1 0 02 Oct 2022
An extensible Benchmarking Graph-Mesh dataset for studying Steady-State Incompressible Navier-Stokes Equations F. Bonnet Jocelyn Ahmed Mazari T. Munzer P. Yser Patrick Gallinari AI4CE 51 10 0 29 Jun 2022
Variational Monte Carlo Approach to Partial Differential Equations with Neural Networks M. Reh M. Gärttner 11 8 0 04 Jun 2022
Transformer for Partial Differential Equations' Operator Learning Zijie Li Kazem Meidani A. Farimani 35 140 0 26 May 2022
Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions Masanobu Horie Naoto Mitsume PINN AI4CE 19 23 0 24 May 2022
Improved Training of Physics-Informed Neural Networks with Model Ensembles Katsiaryna Haitsiukevich Alexander Ilin PINN 22 23 0 11 Apr 2022