% Key papers for Neural PDE solvers (scime atlas, https://atlas.scime.ai). Authors are not included: add them from the paper pages.

@inproceedings{icml2018_pde_36912,
  title = {{PDE-Net: Learning PDEs from Data}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2018},
  url = {https://icml.cc/virtual/2018/poster/1934},
}

@inproceedings{icml2020_combining_38022,
  title = {{Combining Differentiable PDE Solvers and Graph Neural Networks for Fluid Flow Prediction}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2020},
  url = {https://icml.cc/virtual/2020/poster/6802},
}

@inproceedings{neurips2020_solver_60849,
  title = {{Solver-in-the-Loop: Learning from Differentiable Physics to Interact with Iterative PDE-Solvers}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2020},
  url = {https://nips.cc/virtual/2020/poster/17160},
}

@inproceedings{iclr2022_message_31800,
  title = {{Message Passing Neural PDE Solvers}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2022},
  url = {https://iclr.cc/virtual/2022/poster/7134},
}

@inproceedings{iclr2019_learning_29187,
  title = {{Learning Neural PDE Solvers with Convergence Guarantees}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2019},
  url = {https://iclr.cc/virtual/2019/poster/948},
}

@inproceedings{iclr2020_learning_29540,
  title = {{Learning to Control PDEs with Differentiable Physics}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2020},
  url = {https://openreview.net/forum?id=HyeSin4FPB},
}

@inproceedings{icml2019_learning_37505,
  title = {{Learning to Optimize Multigrid PDE Solvers}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2019},
  url = {https://icml.cc/virtual/2019/poster/3877},
}

@inproceedings{neurips2024_diffusionpde_74609,
  title = {{DiffusionPDE: Generative PDE-Solving under Partial Observation}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2024},
  url = {https://neurips.cc/virtual/2024/poster/92980},
}

@inproceedings{aaai2020_robust_100247,
  title = {{Robust Low-Rank Discovery of Data-Driven Partial Differential Equations}},
  booktitle = {AAAI Conference on Artificial Intelligence (AAAI)},
  year = {2020},
  url = {https://ojs.aaai.org/index.php/AAAI/article/view/5420},
}

@inproceedings{neurips2023_pde_68095,
  title = {{PDE-Refiner: Achieving Accurate Long Rollouts with Neural PDE Solvers}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2023},
  url = {https://nips.cc/virtual/2023/poster/71688},
}

@inproceedings{icml2023_learning_42433,
  title = {{Learning Physical Models that Can Respect Conservation Laws}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2023},
  url = {https://icml.cc/virtual/2023/poster/25254},
}

@inproceedings{iclr2023_clifford_33178,
  title = {{Clifford Neural Layers for PDE Modeling}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2023},
  url = {https://iclr.cc/virtual/2023/poster/11825},
}

@inproceedings{aaai2021_low_949,
  title = {{Low-Rank Registration Based Manifolds for Convection-Dominated PDEs}},
  booktitle = {AAAI Conference on Artificial Intelligence (AAAI)},
  year = {2021},
  url = {https://aaai.org/papers/00399-low-rank-registration-based-manifolds-for-convection-dominated-pdes/},
}

@inproceedings{aaai2023_dmis_3390,
  title = {{DMIS: Dynamic Mesh-Based Importance Sampling for Training Physics-Informed Neural Networks}},
  booktitle = {AAAI Conference on Artificial Intelligence (AAAI)},
  year = {2023},
  url = {https://ojs.aaai.org/index.php/AAAI/article/view/25669},
}

@inproceedings{neurips2022_meta_64864,
  title = {{Meta-Auto-Decoder for Solving Parametric Partial Differential Equations}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2022},
  url = {https://nips.cc/virtual/2022/poster/53638},
}

@inproceedings{neurips2022_learning_66437,
  title = {{Learning to Accelerate Partial Differential Equations via Latent Global Evolution}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2022},
  url = {https://nips.cc/virtual/2022/poster/55007},
}

@inproceedings{icml2023_solving_41943,
  title = {{Solving High-Dimensional PDEs with Latent Spectral Models}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2023},
  url = {https://icml.cc/virtual/2023/poster/25165},
}

@inproceedings{iclr2022_discovering_31352,
  title = {{Discovering Nonlinear PDEs from Scarce Data with Physics-encoded Learning}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2022},
  url = {https://iclr.cc/virtual/2022/poster/6855},
}

@inproceedings{neurips2024_poseidon_71533,
  title = {{Poseidon: Efficient Foundation Models for PDEs}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2024},
  url = {https://neurips.cc/virtual/2024/poster/95731},
}

@inproceedings{icml2024_transolver_44701,
  title = {{Transolver: A Fast Transformer Solver for PDEs on General Geometries}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2024},
  url = {https://icml.cc/virtual/2024/poster/33751},
}

@inproceedings{aaai2024_an_5185,
  title = {{An Interpretable Approach to the Solutions of High-Dimensional Partial Differential Equations}},
  booktitle = {AAAI Conference on Artificial Intelligence (AAAI)},
  year = {2024},
  url = {https://ojs.aaai.org/index.php/AAAI/article/view/30050},
}

@inproceedings{neurips2024_newton_71246,
  title = {{Newton Informed Neural Operator for Solving Nonlinear Partial Differential Equations}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2024},
  url = {https://neurips.cc/virtual/2024/poster/95997},
}

@inproceedings{neurips2024_apebench_73471,
  title = {{APEBench: A Benchmark for Autoregressive Neural Emulators of PDEs}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2024},
  url = {https://neurips.cc/virtual/2024/poster/97550},
}

@inproceedings{aaai2025_interpretable_9594,
  title = {{Interpretable Solutions for Multi-Physics PDEs Using T-NNGP}},
  booktitle = {AAAI Conference on Artificial Intelligence (AAAI)},
  year = {2025},
  url = {https://ojs.aaai.org/index.php/AAAI/article/view/33556},
}

@inproceedings{aaai2024_pde_6890,
  title = {{PDE+: Enhancing Generalization via PDE with Adaptive Distributional Diffusion}},
  booktitle = {AAAI Conference on Artificial Intelligence (AAAI)},
  year = {2024},
  url = {https://ojs.aaai.org/index.php/AAAI/article/view/29600},
}

@inproceedings{aaai2024_shop_7227,
  title = {{SHoP: A Deep Learning Framework for Solving High-Order Partial Differential Equations}},
  booktitle = {AAAI Conference on Artificial Intelligence (AAAI)},
  year = {2024},
  url = {https://ojs.aaai.org/index.php/AAAI/article/view/29535},
}

@inproceedings{aaai2024_uncertainty_7676,
  title = {{Uncertainty Quantification for Forward and Inverse Problems of PDEs via Latent Global Evolution}},
  booktitle = {AAAI Conference on Artificial Intelligence (AAAI)},
  year = {2024},
  url = {https://ojs.aaai.org/index.php/AAAI/article/view/27785},
}

@inproceedings{icml2024_towards_43914,
  title = {{Towards General Neural Surrogate Solvers with Specialized Neural Accelerators}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2024},
  url = {https://icml.cc/virtual/2024/poster/34538},
}

@inproceedings{neurips2024_p_73777,
  title = {{P\$^2\$C\$^2\$Net: PDE-Preserved Coarse Correction Network for efficient prediction of spatiotemporal dynamics}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2024},
  url = {https://neurips.cc/virtual/2024/poster/93729},
}

@inproceedings{aaai2024_snn_7230,
  title = {{SNN-PDE: Learning Dynamic PDEs from Data with Simplicial Neural Networks}},
  booktitle = {AAAI Conference on Artificial Intelligence (AAAI)},
  year = {2024},
  url = {https://ojs.aaai.org/index.php/AAAI/article/view/29038},
}

@inproceedings{icml2025_unisolver_48711,
  title = {{Unisolver: PDE-Conditional Transformers Towards Universal Neural PDE Solvers}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2025},
  url = {https://icml.cc/virtual/2025/poster/43911},
}

@inproceedings{icml2025_toward_48722,
  title = {{Toward Efficient Kernel-Based Solvers for Nonlinear PDEs}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2025},
  url = {https://icml.cc/virtual/2025/poster/43900},
}

@inproceedings{neurips2024_physics_71394,
  title = {{Physics-informed Neural Networks for Functional Differential Equations: Cylindrical Approximation and Its Convergence Guarantees}},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year = {2024},
  url = {https://neurips.cc/virtual/2024/poster/95857},
}

@inproceedings{aaai2025_how_9461,
  title = {{How to Re-enable PDE Loss for Physical Systems Modeling Under Partial Observation}},
  booktitle = {AAAI Conference on Artificial Intelligence (AAAI)},
  year = {2025},
  url = {https://ojs.aaai.org/index.php/AAAI/article/view/31994},
}

@inproceedings{iclr2024_sinenet_34210,
  title = {{SineNet: Learning Temporal Dynamics in Time-Dependent Partial Differential Equations}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2024},
  url = {https://iclr.cc/virtual/2024/poster/18865},
}

@inproceedings{iclr2024_better_34986,
  title = {{Better Neural PDE Solvers Through Data-Free Mesh Movers}},
  booktitle = {International Conference on Learning Representations (ICLR)},
  year = {2024},
  url = {https://iclr.cc/virtual/2024/poster/18088},
}

@inproceedings{icml2025_transolver_46387,
  title = {{Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries}},
  booktitle = {International Conference on Machine Learning (ICML)},
  year = {2025},
  url = {https://icml.cc/virtual/2025/poster/46177},
}