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. Neural surrogates for crystal growth dynamics with variable supersaturation: explicit vs. implicit conditioning

    Apr 23, 2026Matteo Rigoni, Daniele Lanzoni, Francesco Montalenti +1Neural Surrogate ModelingConvolutional RNNs

    Dept. of Materials Science, University of Milano-Bicocca, 20125 Milano, Italy · Dept. of Physics, University of Genova, 16146 Genova, Italy

  2. A Deep U-Net Framework for Flood Hazard Mapping Using Hydraulic Simulations of the Wupper Catchment

    Apr 22, 2026Christian Lammers, Fernando Arévalo, Leonie Märker-Neuhaus +3Neural Surrogate ModelingU-Net

    Institute for Computing and Information Sciences Radboud University Nijmegen, Netherlands · Wupper Association (Wupperverband) Wuppertal, Germany

  3. FlowForge: A Staged Local Rollout Engine for Flow-Field Prediction

    Apr 21, 2026Xiaowen Zhang, Ziming Zhou, Fengnian Zhao +1Efficient InferencePDE Surrogate Modeling

    Shanghai Jiao Tong University · University of Michigan

  4. Faster by Design: Interactive Aerodynamics via Neural Surrogates Trained on Expert-Validated CFD

    Apr 20, 2026Nicholas Thumiger, Andrea Bartezzaghi, Mattia Rigotti +5PDE Surrogate ModelingNeural Operators

    IBM Research · Dallara Automobili

  5. Late Fusion Neural Operators for Extrapolation Across Parameter Space in Partial Differential Equations

    Apr 17, 2026Eva van Tegelen, Taniya Kapoor, George A. K. van Voorn +2Surrogate ModelingPDE Surrogate Modeling

    Artificial Intelligence Group, Wageningen University and Research, Netherlands · Mathematical and Statistical Methods, Wageningen University and Research, Netherlands

  6. FLARE: A Data-Efficient Surrogate for Predicting Displacement Fields in Directed Energy Deposition

    Apr 17, 2026Kittipong Thiamchaiboonthawee, Ghadi Nehme, Ram Mohan Telikicherla +5Neural Surrogate ModelingImplicit Neural Representations

    Massachusetts Institute of Technology, Cambridge, MA, USA · GE Vernova Advanced Research Center, Niskayuna, NY, USA

  7. PINNACLE: An Open-Source Computational Framework for Classical and Quantum PINNs

    Apr 17, 2026Shimon Pisnoy, Hemanth Chandravamsi, Ziv Chen +4Neural PDE SolversPDE Surrogate Modeling

    †Faculty of Mechanical Engineering, Technion Israel Institute of Technology, Haifa, Israel. · ‡Corresponding author. · §The Andrew and Erna Viterbi Faculty of Electrical & Computer Engineering, Technion Israel Institute of Technology, Haifa, Israel. +2

  8. A Structure-Preserving Graph Neural Solver for Parametric Hyperbolic Conservation Laws

    Apr 17, 2026Jiamin Jiang, Shanglin Lv, Jingrun ChenGraph Neural NetworksNeural PDE Solvers

    School of Artificial Intelligence and Data Science and Suzhou Institute for Advanced Research, University of Science and Technology of China, and Suzhou Big Data & AI Research and Engineering Center, China · School of Mathematical Sciences, University of Science and Technology of China, China · School of Mathematical Sciences and Suzhou Institute for Advanced Research, University of Science and Technology of China, and Suzhou Big Data & AI Research and Engineering Center, China

  9. G-PARC: Graph-Physics Aware Recurrent Convolutional Neural Networks for Spatiotemporal Dynamics on Unstructured Meshes

    Apr 16, 2026Jack T. Beerman, Tyler J. Abele, Mehdi Taghizadeh +6Neural PDE SolversPDE Surrogate Modeling

    School of Data Science, University of Virginia, Charlottesville, VA 22903, United States · Department of Engineering Systems and Environment, University of Virginia, Charlottesville, VA 22903, United States · Department of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, VA 22903, United States +1

  10. Physics-Informed Machine Learning for Pouch Cell Temperature Estimation

    Apr 16, 2026Zheng LiuNeural Surrogate ModelingPDE Surrogate Modeling

    Department of Industrial and Manufacturing Systems Engineering University of Michigan-Dearborn Dearborn, USA

  11. Pretrained Video Models as Differentiable Physics Simulators for Urban Wind Flows

    Mar 22, 2026Janne Perini, Rafael Bischof, Moab Arar +4Video Diffusion ModelsPDE Surrogate Modeling

    1Computational Design Lab, ETH Zurich, Switzerland · 2Tel Aviv University, Israel · 3Architecture and Building Systems, ETH Zurich, Switzerland +2

  12. Neural Galerkin Normalizing Flow for Transition Probability Density Functions of Diffusion Models

    Mar 19, 2026Riccardo Saporiti, Fabio NobileNormalizing FlowsNeural PDE Solvers

    CSQI, École Polytechnique Féderale de Lausanne, Switzerland

  13. A convolutional autoencoder and neural ODE surrogate modeling framework applied to transient counterflow flames

    Mar 16, 2026Mert Yakup Baykan, Weitao Liu, Mohammad Rafi Malik +4AutoencodersPDE Surrogate Modeling

    Department of Aerospace Engineering, KAIST, Daejeon, Republic of Korea · Clean Energy Research Platform (CERP), KAUST, Thuwal, Saudi Arabia · Institute for Reactive Flows (IRST), University of Stuttgart, Pfaffenwaldring 31, 70569 Stuttgart, Germany

  14. Deep Invertible Autoencoders for Dimensionality Reduction of Dynamical Systems

    Mar 13, 2026Nicolò Botteghi, Silke Glas, Christoph BruneAutoencodersPDE Surrogate Modeling

    1MOX Laboratory, Department of Mathematics, Politecnico di Milano, Milano, Italy · Department of Applied Mathematics, University of Twente, Enschede, Netherlands

  15. Disentangled Latent Dynamics Manifold Fusion for Solving Parameterized PDEs

    Mar 13, 2026Zhangyong Liang, Huanhuan GaoLatent Dynamics ModelingPDE Solving

    National Center for Applied Mathematics, Tianjin University, Tianjin, 300072, PR China · School of Mechanical and Aerospace Engineering, Jilin University, Changchun, 130025, China

  16. Probabilistic Retrofitting of Learned Simulators

    Mar 2, 2026Cristiana Diaconu, Miles Cranmer, Richard E. Turner +2Surrogate ModelingPDE Surrogate Modeling

    The Polymathic AI Collaboration · University of Cambridge · Alan Turing Institute

  17. Surrogate models for Rock-Fluid Interaction: A Grid-Size-Invariant Approach

    Feb 25, 2026Nathalie C. Pinheiro, Donghu Guo, Hannah P. Menke +4Surrogate ModelingPDE Surrogate Modeling

    Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College London, London, SW7 2AZ UK · Institute of GeoEnergy Engineering, Heriot-Watt University, Edinburgh, EH14 1AS UK · Department of Civil and Environmental Engineering, Imperial College London, London, SW7 2AZ UK +2

  18. Adjoint-based shape optimization of a ship hull using a Conditional Variational Autoencoder (CVAE) assisted propulsion surrogate model

    Feb 16, 2026Moloud Arian Maram, Georgios Bletsos, Thanh Tung Nguyen +3PDE Surrogate ModelingComputational Fluid Dynamics

    J.M. Voith SE & Co. KG, Alexanderstrasse 2, Heidenheim, 89522, Baden-Württemberg, Germany · Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, Am Schwarzenberg-Campus 4, Hamburg, 21073, Germany

  19. Stabilizing Physics-Informed Consistency Models via Structure-Preserving Training

    Feb 10, 2026Che-Chia Chang, Chen-Yang Dai, Te-Sheng Lin +2Physics-Informed Generative ModelingPDE Surrogate Modeling

    Institute of Artificial Intelligence Innovation National Yang Ming Chiao Tung University Hsinchu, Taiwan · Department of Applied Mathematics National Yang Ming Chiao Tung University Hsinchu, Taiwan · Department of Applied Mathematics National Yang Ming Chiao Tung University Hsinchu, Taiwan National Center for Theoretical Sciences National Taiwan University Taipei, Taiwan

  20. Transolver-3: Scaling Up Transformer Solvers to Industrial-Scale Geometries

    Feb 4, 2026Hang Zhou, Haixu Wu, Haonan Shangguan +4Efficient Neural Network InferenceNeural PDE Solvers

    School of Software, BNRist, Tsinghua University, China.

  21. SFO: Learning PDE Operators via Spectral Filtering

    Jan 23, 2026Noam Koren, Rafael Moschopoulos, Kira Radinsky +1PDE Surrogate ModelingPDE Operator Learning

    Department of Computer Science Technion - Israel Institute of Technology · Department of Computer Science Princeton University

  22. PGOT: A Physics-Geometry Operator Transformer for Complex PDEs

    Dec 29, 2025Zhuo Zhang, Xi Yang, Ying Miao +5Neural PDE SolversPDE Surrogate Modeling

    National University of Defense Technology · Peking University · National University of Singapore +2

  23. Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation

    Dec 9, 2025Muhammad Abid, Omer SanPDE Surrogate ModelingPDE Operator Learning

    Department of Mechanical and Aerospace Engineering, University of Tennessee, Knoxville, TN 37996, USA.

  24. Conditional Clifford-Steerable CNNs for PDE Modeling

    Oct 15, 2025Bálint László Szarvas, Maksim ZhdanovDynamic ConvolutionPDE Surrogate Modeling

    University of Amsterdam · 2AMLab.

  25. A Flow-rate-conserving CNN-based Domain Decomposition Method for Blood Flow Simulations

    Sep 19, 2025Simon Klaes, Axel Klawonn, Natalie Kubicki +4PDE SolvingPDE Surrogate Modeling

    Department of Mathematics and Computer Science, University of Cologne, Germany · Center for Data and Simulation Science, University of Cologne, Germany · Institute for Advanced Simulation (IAS-2), Forschungszentrum Jülich, Germany +1

  26. DPG loss functions for learning parameter-to-solution maps by neural networks

    Jun 23, 2025Pablo Cortés Castillo, Wolfgang Dahmen, Jay GopalakrishnanPDE SolvingPDE Surrogate Modeling

  27. Residuals Are Not Enough: Limits of Physics-Informed Pre-Training for Scientific Foundation Models

    Mar 24, 2025Serge Kotchourko, Amin Totounferoush, Michael W. Mahoney +1PDE Surrogate ModelingPhysics-Informed ML

    University of Stuttgart, Germany · ICSI, LBNL, and University of California, Berkeley, USA

  28. Surrogate Modeling of 3D Rayleigh-Benard Convection with Equivariant Autoencoders

    Date pendingFynn Fromme, Hans Harder, Christine Allen-Blanchette +1AutoencodersPDE Surrogate Modeling

    Lamarr Institute for Machine Learning and Artificial Intelligence and Karlsruhe Institute of Technology · Lamarr Institute for Machine Learning and Artificial Intelligence and Department of Computer Science at Paderborn University · Department of Mechanical and Aerospace Engineering Center for Statistics and Machine Learning Princeton University +1