PDE Surrogate Modeling

PDE: Partial Differential Equation

Ask about this topic

Momentum

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

Jul 13Week of Sep 28
View on map

Latest papers 208

All topics
CardsList

  1. Transferability of Learned States in Neural PDE Solvers

    Oct 7, 2026Shunye Wang, Haochen Wen, Shuo Li Liu +3Neural PDE SolversPDE Surrogate Modeling

    University of Chicago · University of Cambridge · Princeton University +2

  2. Conditional Flow Matching for Generation of 3D Multi-variable Instantaneous Urban Microclimate Fields

    Oct 7, 2026Peng Liu, Shaoxiang Qin, Theodore Potsis +3Computational Fluid DynamicsConditional Flow Matching

    Concordia University, Centre for Zero Energy Building Studies, Department of Building, Civil and Environmental Engineering, Montreal H3G 1M8, Canada · McGill University, School of Computer Science, Montreal, H3A 0E9, Canada

  3. Cross-Domain Pretraining for Steady-State Neural CFD Surrogates

    Oct 7, 2026Anthony Zhou, Amir Barati Farimani, Shirley Ho +1Cross-Domain GeneralizationPDE Surrogate Modeling

    Carnegie Mellon University · New York University · Polymathic AI +4

  4. The Symbol of the Surrogate: Measuring Numerical Provenance in Neural PDE Solvers

    Oct 7, 2026Ridham PatelPDE Surrogate Modeling

    Computer Science & Engineering Indian Institute of Technology Gandhinagar Gandhinagar, India

  5. Domain-informed Adaptive Sampling for Generalizable PINNs in Metal Additive Manufacturing via Conditional Flow Matching

    Oct 6, 2026Hyeonsu Lee, Jihoon JeongAdaptive SamplingPhysics-Informed ML

    Wm Michael Barnes ’64 Department of Industrial and Systems Engineering Texas A&M University College Station, TX 77843, USA

  6. Learning PDE solution operators with variable initial conditions via Latent Dynamics Networks

    Oct 6, 2026Stefano Maria Pizzamiglio, Stefano Pagani, Francesco RegazzoniLatent Dynamics ModelingMeta-Learning

    MOX Laboratory, Department of Mathematics, Politecnico di Milano, Italy

  7. Green-Routed Neural Operators:\Physics Determines Where the Network Reads

    Oct 4, 2026Chenhao Si, Ming YanPDE Surrogate ModelingPDE Operator Learning

    School of Data Science The Chinese University of Hong Kong, Shenzhen Shenzhen, China

  8. Component-Level Evaluation of Adaptive PINN Training for CFD-Oriented Crystal Growth Simulation

    Oct 4, 2026Niruta Chapagain, Rohit Raj, Bertwin Kurisinkal Shine +1Neural PDE SolversPDE Surrogate Modeling

    University of Europe for Applied Sciences Potsdam, Germany · Vienna, Austria · Technische Universität Chemnitz Chemnitz, Germany +1

  9. Geometry Meets Physics: Data-Efficient Pre-Training for Unstructured Neural PDE Solvers

    Oct 2, 2026Luis Medrano-Navarro, Giacomo Baldan, Qiang Liu +4Synthetic Data PretrainingNeural PDE Solvers

    Technical University of Munich · University of Stuttgart

  10. Sim+Real: Joint Simulation - Experiment Training Improves Balanced Prediction in Physical Systems

    Oct 1, 2026Mahindra Rautela, Alexander Scheinker, Ayan Biswas +3Sim-to-Real TransferPDE Surrogate Modeling

    Los Alamos National Laboratory, New Mexico, USA

  11. Learning PDE Dynamics between Submanifolds Using Green's Observation Operators

    Oct 1, 2026Jan Tauberschmidt, Jephte Abijuru, Naukshatro Bose +5PDE SolvingPDE Surrogate Modeling

    German Research Center for Artificial Intelligence (DFKI), Kaiserslautern, Germany · Rheinland-Pfälzische Technische Universität (RPTU), Kaiserslautern, Germany · University of Manchester, Manchester, United Kingdom

  12. Scale-Split Neural Operator for Memory- and Data-Efficient 3D Turbulence Prediction

    Sep 30, 2026Shaoxiang Qin, Yucheng Zhao, Zongyi Li +2PDE Surrogate ModelingNeural Operators

    University of Tennessee, Knoxville · McGill University · New York University +1

  13. Warm-starting PDE solvers with any-dimensional machine learning

    Sep 30, 2026Wilson G. Gregory, George A. Kevrekidis, Ben Blum-Smith +1Neural PDE SolversPDE Surrogate Modeling

    Department of Statistics and Irving Institute for Cancer Dynamics, Columbia University · Division of Applied Mathematics, Brown University · Department of Applied Mathematics and Statistics, Johns Hopkins University

  14. Does Text Steer Neural PDE Surrogates? A Controlled Diagnostic with OperatorCLIP

    Sep 29, 2026Aadi Dash, Lennon J. Shikhman, Michael GalarnykPDE Surrogate ModelingNeural Operators

    College of Computing, Georgia Institute of Technology · Department of Mathematics and Systems Engineering, Florida Institute of Technology · Wallace H. Coulter Department of Biomedical Engineering, Georgia Institute of Technology

  15. A Pre-trained Variational Autoencoder for Gyrokinetic Plasma Turbulence Surrogate Modeling

    Sep 29, 2026Minglei Yang, Marshall Nicholson, Diego Del-Castillo-Negrete +2Variational AutoencodersPhysics-Informed Generative Modeling

    Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA · Grand Valley State University, Allendale, MI, 49401, USA · University of Texas at Austin, Austin, TX, 78712, USA

  16. Transolver-σσ: Joint Spectral-Physical Subspace Modeling for Neural PDE Solving

    Sep 29, 2026Haonan Shangguan, Hang Zhou, Haixu Wu +3Fourier Neural OperatorNeural PDE Solvers

    School of Software, BNRist, Tsinghua University · MIT CSAIL

  17. CANTO: CAD-Native Transformer Operators for AI-Aided Engineering

    Sep 29, 2026Daniel Leibovici, Nikola Borislavov Kovachki, Dawon Ahn +8PDE Surrogate ModelingNeural Operators

    NVIDIA

  18. SCOPE: Observation-Conditioned Full-Target Prediction for Sparse PDE Inference

    Sep 29, 2026Ruichen Xu, Siyao Wang, Fang Wan +8PDE Surrogate ModelingPDE Inverse Problems

    Stony Brook University · University of California, Davis · Independent Research +3

  19. PDE-OBS: Controlled Evaluation Across Observation Patterns

    Sep 29, 2026Ruichen Xu, Siyao Wang, Fang Wan +7Benchmark DesignPDE Surrogate Modeling

    Stony Brook University · University of California, Davis · Independent Research +3

  20. PDE-JEPA: Predictive Representation Learning of Latent Dynamics Modeling for Parametric PDEs

    Sep 28, 2026Zhentao Tan, Jianrong Zhang, Ruijie Quan +1Latent Dynamics ModelingJoint-Embedding Predictive Architecture

    Zhejiang University.

  21. CasEm: A Cascade Architecture for Long-Horizon Neural Emulation

    Sep 28, 2026Zhaoyi Li, Jingtao Ding, Shihua LiNeural Surrogate ModelingPDE Surrogate Modeling

    School of Automation, Southeast University · Beijing Zhongguancun Academy · Department of Earth System Science, Tsinghua University

  22. When Known Physics Helps Neural PDE Models: Residual Constraints Out-Regularize Generic Priors for Nonlinear Dynamics

    Sep 27, 2026Zahra Farazpay, Aniruddha BoraPDE Surrogate ModelingPhysics-Informed ML

    Department of Physics Louisiana Tech University Ruston, LA, USA · Department of Computer Science Texas State University San Marcos, TX, USA

  23. The limits of exactness: On the failure of automatic differentiation in physics-informed machine learning

    Sep 27, 2026Ameya D. JagtapAutomatic DifferentiationPDE Surrogate Modeling

    Aerospace Engineering Department, Worcester Polytechnic Institute, Worcester, MA 01609, USA

  24. RD-JEPA: Predictive latent pretraining for few-trajectory transfer across reaction--diffusion equations

    Sep 24, 2026Chenhao Si, Ming YanDynamical SystemsSelf-Supervised Pre-Training

    School of Data Science, The Chinese University of Hong Kong, Shenzhen, Shenzhen, China

  25. Physics and Data Driven Transformer-Mamba Framework for Flow Field

    Sep 24, 2026Zhuo Zhang, Shun Zou, Canqun Yang +1PDE Surrogate ModelingPDE Operator Learning

    College of Computer Science and Technology, National University of Defense Technology, Changsha, China · College of Artificial Intelligence, Nanjing Agricultural University, NanJing, China · National SuperComputer Center in Tianjin, Binhai New Area, Tianjin, China +1

  26. MENO: Memory-Efficient Neural Operator

    Sep 23, 2026Shengyang Xu, Weijun Zhang, Jun Hu +1PDE Surrogate ModelingPDE Operator Learning

    School of Mathematical Sciences, Peking University, Beijing 100871, China · Chongqing Research Institute of Big Data, Peking University, Chongqing 401329, China · National Engineering Laboratory for Big Data Analysis and Applications, Peking University, Beijing 100871, China

  27. Learning Physics from an Imperfect Ancestor

    Sep 21, 2026S. Mohammad Mousavi, Teeratorn Kadeethum, Nikolaos Bouklas +1PDE Surrogate ModelingOOD Generalization

    Sibley School of Mechanical and Aerospace Engineering, Cornell University · AI Lab, Siemens Energy · Department of Civil and Systems Engineering, Johns Hopkins University

  28. How Does Distribution Shift Shape Pretraining Gains in Neural PDE Surrogates?

    Sep 17, 2026Pochinapeddi Sai Bhargav, Nithin Somasekharan, Rohit Sunil Kanchi +2Distribution Shift RobustnessPDE Surrogate Modeling

    Rensselaer Polytechnic Institute Troy, NY 12180 · University of Tennessee Knoxville, TN 37996

  29. Adaptive hybrid coupling with operator inference, the overlapping Schwarz alternating method and reinforcement learning

    Sep 15, 2026Trishit Mondal, Irina Tezaur, Anthony GruberReinforcement LearningPDE Surrogate Modeling

    Worcester Polytechnic Institute

  30. Cross-Anatomy Transfer Versus Sparse Interpolation in Digital-Twin-Oriented Aortic Fluid-Structure Interaction Surrogates

    Sep 14, 2026Ali Nourbakhsh, Mohammad Reza Niroomand, Erfan NourbakhshPDE Surrogate ModelingCross-Domain Generalization

    Department of Mechanical Engineering Isfahan University of Technology Isfahan, Iran · Artificial Intelligence Department University of Isfahan Isfahan, Iran