PDE Surrogate Modeling

PDE: Partial Differential Equation

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32 papers in the last four weeks, up 146% on the four weeks before. 0.3% of all new papers.

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  1. Temperature Field Reconstruction of Tungsten Monoblock Divertor on EAST using Physics-aware Neural Operator Transformer

    Jun 30, 2026Zikang Yan, Xiao Wang, Qingquan Yang +6PDE Surrogate ModelingPhysics-Informed Neural Operators

    School of Computer Science and Technology, Anhui University, Hefei, China · Institute of Plasma Physics, Chinese Academy of Sciences, Hefei, China · Tongling University, Tongling 244000, China +2

  2. Randomized neural operator for parametric PDEs with fast training and conformal uncertainty quantification

    Jun 28, 2026Zirui Deng, Jingbo Sun, Deyu Meng +1Uncertainty QuantificationPDE Surrogate Modeling

    School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, China

  3. PCGD: Physics-Guided Conditional Graph Diffusion for TCAD Device Simulation

    Jun 28, 2026Yihan Zhang, Zhiteng Zhang, Kun Chen +1PDE Surrogate ModelingPhysics-Informed ML

  4. A Trainable-by-Parts Operator Learning Framework: Bridging DeepONet and Karhunen-Loeve Expansions for Large-Scale Applications

    Jun 26, 2026Christian Munoz, Alexandre TartakovskyPDE Surrogate ModelingOperator Learning

    Civil Engineering Department University of Illinois Urbana-Champaign Urbana, IL 61801 · Pacific Northwest National Laboratory,Jun Richland, WA 99352

  5. Physics-Informed Neural Network with Transfer Learning for State Estimation in Lithium-Ion Batteries using the Single Particle Model with Electrolyte

    Jun 26, 2026Gift Modekwe, Qiugang LuPDE Surrogate ModelingTransfer Learning

    Department of Chemical Engineering, Texas Tech University, Lubbock, TX 79409, USA

  6. Error-Conditioned Neural Solvers

    Jun 25, 2026Haina Jiang, Liam Wang, Peng-Chen Chen +4Neural PDE SolversPDE Surrogate Modeling

    University of Michigan · KAIST AI · Los Alamos National Laboratory

  7. A Physics-Informed Fourier-Wavelet Transformer for Multiscale Computational Fluid Dynamics Surrogate Modeling

    Jun 23, 2026Somyajit Chakraborty, Ming Pan, Xizhong ChenSurrogate ModelingPDE Surrogate Modeling

    Shanghai Jiao Tong University, Department of Chemistry and Chemical Engineering 800 Dongchuan Road, Minhang District, Shanghai, 200240, China

  8. Prediction of Viscoelastic Droplet Impact Dynamics Using a Vision Transformer-Based Approach

    Jun 22, 2026Diego A. de Aguiar, Cassio M. OishiPDE Surrogate ModelingVideo Prediction

    Departamento de Matem´atica e Computa¸c˜ao, Faculdade de Ciˆencias e Tecnologia, Universidade Estadual Paulista “J´ulio de Mesquita Filho”, Presidente Prudente, Brazil

  9. Attention mechanism for scalable mesh-based neural surrogates of free-surface fluids

    Jun 22, 2026Federico Lanteri, Massimiliano CremonesiNeural Surrogate ModelingSelf-Attention

    Department of Civil and Environmental Engineering, Politecnico di Milano Piazza Leonardo da Vinci, 32, 20133, Milano, Italy

  10. One-Step Flow Matching for Generative Modeling of Path-Dependent Physical Fields

    Jun 22, 2026Yijing Zhou, Jasmin JelovicaFlow MatchingStructural Mechanics

    aDepartment of Mechanical Engineering, The University of British Columbia, Vancouver, Canada · bDepartment of Civil Engineering, The University of British Columbia, Vancouver, Canada

  11. Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations

    Jun 18, 2026Christian Jimenez-Beltran, Aretha L. Teckentrup, Antonio Vergari +1Neural Surrogate ModelingUncertainty Quantification

    School of Mathematics and Maxwell Institute for Mathematical Sciences University of Edinburgh · School of Informatics University of Edinburgh

  12. Comparative Study of Neural Surrogate Architectures for Autoregressive Prediction of Internal Battery States

    Jun 18, 2026Gihyun Lee, Thorben Menne, Simon Olma +2Neural Surrogate ModelingPDE Surrogate Modeling

    Technische Universität Berlin, Berlin, Germany · IAV GmbH, Berlin, Germany

  13. Advances in Scientific Machine Learning for Coupled Fluid Flow and Transport

    Jun 17, 2026Gabriel F. Barros, Rômulo M. Silva, Alvaro L. G. A. CoutinhoPDE Surrogate ModelingReduced-Order Modeling

    COPPE −Federal University of Rio de Janeiro - UFRJ, Rio de Janeiro, Brazil

  14. Starter-Iterator Neural Operator: A Unified Architecture for High-Fidelity Forward and Inverse PDE Problems

    Jun 16, 2026Kuilin Qin, Lianfang Wang, Xu Sun +4PDE Surrogate ModelingPDE Operator Learning

  15. Geometry-Aware Post-Hoc Uncertainty Quantification in Operator Learning

    Jun 16, 2026Oriol Vendrell-Gallart, Nima Negarandeh, Ramin BostanabadUncertainty QuantificationPDE Surrogate Modeling

    Department of Mechanical and Aerospace Engineering University of California, Irvine Irvine, CA 92617

  16. Operator Boosting Produces Pareto-Efficient PDE Surrogates

    Jun 16, 2026Lennon J. ShikhmanPDE Surrogate ModelingDeep Operator Networks

    Georgia Institute of Technology College of Computing Atlanta, Georgia, USA

  17. Towards Fast GNN Surrogates for CO2 Migration in Complex Geological Formations

    Jun 15, 2026Rodrigo S. Luna, Thiago H. N. Coelho, Luiz S. L. Neto +8Graph Neural NetworksPDE Surrogate Modeling

    Systems and Computer Engineering and High Performance Computing Center, NACAD - COPPE, Federal University of Rio de Janeiro · Civil Engineering and High Performance Computing Center, NACAD - COPPE, Federal University of Rio de Janeiro · Mechanical Engineering and High Performance Computing Center, NACAD - COPPE, Federal University of Rio de Janeiro +1

  18. MR-GVNO: A Geometry-Aware Variational Physics-Informed Neural Operator for Mindlin-Reissner Plates on Irregular Domains

    Jun 15, 2026Siqi Wang, Daobo Sun, Yizheng Wang +4PDE Surrogate ModelingPDE Operator Learning

    Institute of Computational Mechanics × AI & College of Intelligent Robotics and Advanced Manufacturing, Fudan University, Shanghai 200433, China · School of Aerospace Engineering, Xiamen University, Xiamen 361102, China · Department of Engineering Mechanics, Tsinghua University, Beijing, 100084, China +2

  19. PhysGuard: Fisher-Guided Gradient Projection for Sim-to-Real Neural PDE Surrogates

    Jun 15, 2026Changjian Zhou, Junfeng Fang, Negin Yousefpour +3Synthetic-to-Real Domain AdaptationPDE Surrogate Modeling

    Faculty of Engineering and IT, University of Melbourne · School of Computing, National University of Singapore · Artificial Intelligence Research Institute, IFLYTEK Co., Ltd.

  20. Learning Interface Breakup: A Geometry-Conditioned Latent Surrogate for Spray Formation

    Jun 15, 2026Julius H Ramlau, Friedrich Hastedt, Tolga Birdal +3PDE Surrogate ModelingAdaptive Mesh Refinement

    Department of Chemical Engineering, Imperial College London, London, United Kingdom · CMAC, CEDAR, an EPSRC Center for Doctoral Training in Cyber-Physical Systems for Medicines Development and Manufacturing, Imperial College London, London, United Kingdom · Sargent Centre for Process Systems Engineering, Imperial College London, London, United Kingdom +2

  21. Physics-conforming Latent Twins

    Jun 13, 2026Matthias Chung, Yutong Bu, Deepanshu VermaNeural Surrogate ModelingSurrogate Modeling

    Department of Mathematics, Emory University, 400 Dowman Drive, Atlanta, 30322, GA, USA · School of Mathematical and Statistical Sciences, Clemson University, 220 Parkway Drive, Clemson, 29634, SC, USA

  22. Separable Neural Architectures as Physical World Models: from Mathematical Theory to Applications

    Jun 12, 2026Reza T Batley, Andrew Kichline, Sourav SahaNeural PDE SolversPDE Solving

    Kevin T. Crofton Department of Aerospace and Ocean Engineering, Virginia Polytechnic Institute and State University, 1600 Innovation Drive, Blacksburg, 24060, VA, United States

  23. A Hybrid GNN-FEM Framework for Phase-Field Fracture Simulation. Physics-Preserving Hybridization for Generalizable Surrogate Modeling

    Jun 12, 2026Hyeonbin Moon, Yongjin Choi, Seunghwa RyuStructural MechanicsPDE Surrogate Modeling

    Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology (KAIST), Daejeon, 34141, Republic of Korea · KAIST InnoCORE PRISM-AI Center, Korea Advanced Institute of Science and Technology (KAIST), Daejeon, 34141, Republic of Korea · Department of AX, College of AI, Korea Advanced Institute of Science and Technology (KAIST), Daejeon, 34141, Republic of Korea

  24. Structure-Preserving Neural Surrogates with Tractable Uncertainty Quantification

    Jun 10, 2026Handi Zhang, Adrienne M. Propp, Brooks Kinch +2Uncertainty QuantificationPDE Surrogate Modeling

    Applied Mathematics and Computational Science, University of Pennsylvania, Philadelphia, PA, USA · Institute for Computational and Mathematical Engineering, Stanford University, Stanford, CA, USA · Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA, USA +1

  25. First-Order Trajectory Matching: Fast Ensemble Predictions of Chaotic, Turbulent, Stochastic Systems

    Jun 9, 2026Shreya Jha, Timo Schorlepp, Nicholas Geissler +2Dynamical SystemsSurrogate Modeling

    Courant Institute of Mathematical Sciences, New York University

  26. Least-Action-Guided Diffusion for Physical Extrapolation

    Jun 9, 2026Zhongxin Yang, Yuanwei Bin, Xiang I. A. Yang +1Physics-Informed Diffusion ModelsPhysics-Informed Generative Modeling

    College of Engineering, Peking University, Beijing 100871, China · Ningbo Institute for Digital Twin, Eastern Institute of Technology, Ningbo 315200, Zhejiang, China · Eastern Institute for Advanced Study, Eastern Institute of Technology, Ningbo 315200, Zhejiang, China +2

  27. Physics-Constrained Neural Surrogate for Domain Growth Prediction in Systems with Conserved Kinetics

    Jun 9, 2026Vijay Yadav, Pallvi Pandey, Madhu Priya +2Dynamical SystemsPDE Surrogate Modeling

    Department of Physics, Indian Institute of Technology Jodhpur, Jodhpur, Rajasthan 342 030, India · Department of Physics, Birla Institute of Technology Mesra, Ranchi, Jharkhand 835 215, India · Department of Physics, Central University of Rajasthan, Ajmer, Rajasthan 305 817, India

  28. Input-schema identifiability limits in physics-informed surrogates for mechanics-governed flow

    Jun 8, 2026Daniel Cieslak, Andrzej CzyzewskiPDE Surrogate ModelingPhysics-Informed ML

    Gdańsk University of Technology, Gdańsk, Poland

  29. Learning Where to Simulate: Generative Active Sampling for Online PDE Surrogate Training

    Jun 8, 2026Pierre Cesar, Sofya Dymchenko, Abhishek Purandare +1PDE Surrogate ModelingActive Learning

    DATAMOVE · Univ. Grenoble Alpes, Inria, CNRS, Grenoble INP, LIG, Grenoble, France

  30. Conformal Prediction for Neural Operators: Distribution-Free Uncertainty Quantification in Physics Simulation

    Jun 7, 2026Michael ChinUncertainty QuantificationPDE Surrogate Modeling

    Independent Researcher