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2202.03376
Cited By
Message Passing Neural PDE Solvers
7 February 2022
Johannes Brandstetter
Daniel E. Worrall
Max Welling
AI4CE
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Papers citing
"Message Passing Neural PDE Solvers"
50 / 55 papers shown
Title
CodePDE: An Inference Framework for LLM-driven PDE Solver Generation
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DISCO: learning to DISCover an evolution Operator for multi-physics-agnostic prediction
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Jiequn Han
Edouard Oyallon
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Machine learning for modelling unstructured grid data in computational physics: a review
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Marc Bocquet
Weiping Ding
Tobias S. Finn
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...
Yong Zeng
Mingrui Zhang
Hao Zhou
Kewei Zhu
Rossella Arcucci
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104
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13 Feb 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
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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
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DRL
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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
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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
26
3
0
02 Oct 2024
A domain decomposition-based autoregressive deep learning model for unsteady and nonlinear partial differential equations
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Haoliang Jiang
Lalit Ghule
C. Umphrey
Rishikesh Ranade
Jay Pathak
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Active Learning for Neural PDE Solvers
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Marimuthu Kalimuthu
David Holzmüller
Makoto Takamoto
Carlos Fernandez
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41
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02 Aug 2024
Graph Neural Reaction Diffusion Models
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Eldad Haber
Eran Treister
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Flexible SE(2) graph neural networks with applications to PDE surrogates
Maria Bånkestad
Olof Mogren
Aleksis Pirinen
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Learning from Linear Algebra: A Graph Neural Network Approach to Preconditioner Design for Conjugate Gradient Solvers
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Alexander Rudikov
Oleg Iliev
Ivan V. Oseledets
Ekaterina A. Muravleva
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From Fourier to Neural ODEs: Flow Matching for Modeling Complex Systems
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Jingdong Zhang
Qunxi Zhu
Chengli Zhao
Xue Zhang
Xiaojun Duan
Wei Lin
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19 May 2024
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training
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Chang Su
Songming Liu
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Chengyang Ying
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Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators
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19 Feb 2024
DeepLag: Discovering Deep Lagrangian Dynamics for Intuitive Fluid Prediction
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Haixu Wu
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Jianmin Wang
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Jiaqi Han
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Jean Kossaifi
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Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material Responses
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Ning Liu
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Yue Yu
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GIT-Net: Generalized Integral Transform for Operator Learning
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19
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Deciphering and integrating invariants for neural operator learning with various physical mechanisms
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Qi Meng
Zhi-Ming Ma
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26
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Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology
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Yilei Shi
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LagrangeBench: A Lagrangian Fluid Mechanics Benchmarking Suite
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Fabian Fritz
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Nikolaus A. Adams
38
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Efficient Neural PDE-Solvers using Quantization Aware Training
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Yuki M. Asano
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Fast Dynamic 1D Simulation of Divertor Plasmas with Neural PDE Surrogates
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G. Derks
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Vlado Menkovski
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16
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Stability of implicit neural networks for long-term forecasting in dynamical systems
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Physics Informed Token Transformer for Solving Partial Differential Equations
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Zijie Li
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On the Relationships between Graph Neural Networks for the Simulation of Physical Systems and Classical Numerical Methods
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31 Mar 2023
Machine Learning for Partial Differential Equations
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CONFIDE: Contextual Finite Differences Modelling of PDEs
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Orly Avner
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34
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MetaPhysiCa: OOD Robustness in Physics-informed Machine Learning
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NeuralStagger: Accelerating Physics-constrained Neural PDE Solver with Spatial-temporal Decomposition
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Qi Meng
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Tie-Yan Liu
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Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation
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Qi Meng
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DiffM
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44
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Learning PDE Solution Operator for Continuous Modeling of Time-Series
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Solving Inverse Physics Problems with Score Matching
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S. Vegetti
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Continuous Depth Recurrent Neural Differential Equations
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A Physics-informed Diffusion Model for High-fidelity Flow Field Reconstruction
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Kiwon Um
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Neural Network Approximations of PDEs Beyond Linearity: A Representational Perspective
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Tunable Complexity Benchmarks for Evaluating Physics-Informed Neural Networks on Coupled Ordinary Differential Equations
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A. Timm
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Guaranteed Conservation of Momentum for Learning Particle-based Fluid Dynamics
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