PDE Surrogate Modeling

Benchmarks archive 2025-07-28

No benchmark for this task in the archive.

Libraries

Not in the archive: the export carries no per-task library table, so there is nothing to show at snapshot 2025-07-28.

Datasets archive 2025-07-28

4 datasets whose archive record lists this task, ordered by the archive's paper count.

Subtasks archive 2025-07-28

No subtask under this task in the archive's task tree.

Most implemented papers archive 2025-07-28

8 shown of 8 papers with code (9 tagged with this task in all), ordered by repositories listed in the archive, not by stars (the archive holds no stars, so PwC's “Social” and “Latest” sorts cannot be reproduced). Papers without a page here are shown as plain text.

• Erwin: A Tree-based Hierarchical Transformer for Large-scale Physical Systems
  24 Feb 2025 2 repositories listed Syntology ran 1 of 1 samples · 0 unverified · 1 pointer-only (licence)
  Large-scale physical systems defined on irregular grids pose significant scalability challenges for deep learning methods, especially in the presence of long-range interactions and multi-scale coupling.
• Learning to Predict Structural Vibrations
  9 Oct 2023 2 repositories listed Syntology ran 9 of 12 samples · 3 unverified · 12 pointer-only (licence)
  To quantify such trade-offs systematically and foster the development of methods, we present a benchmark on the task of predicting the vibration of harmonically excited plates.
• Learning Neural PDE Solvers with Parameter-Guided Channel Attention
  27 Apr 2023 2 repositories listed
  The experiments also show several advantages of CAPE, such as its increased ability to generalize to unseen PDE parameters without large increases inference time and parameter count.
• Convolutional Neural Operators for robust and accurate learning of PDEs
  2 Feb 2023 2 repositories listed Syntology ran 3 of 3 samples · 0 unverified
  Although very successfully used in conventional machine learning, convolution based neural network architectures -- believed to be inconsistent in function space -- have been largely ignored in the context of learning…
• Towards Multi-spatiotemporal-scale Generalized PDE Modeling
  30 Sep 2022 2 repositories listed
  Finally, we show promising results on generalization to different PDE parameters and time-scales with a single surrogate model.
• Extreme time extrapolation capabilities and thermodynamic consistency of physics-inspired Neural Networks for the 3D microstructure evolution of materials via Cahn-Hilliard flow
  29 Jul 2024 1 repository listed
  A Convolutional Recurrent Neural Network (CRNN) is trained to reproduce the evolution of the spinodal decomposition process in three dimensions as described by the Cahn-Hilliard equation.
• Aero-Nef: Neural Fields for Rapid Aircraft Aerodynamics Simulations
  29 Jul 2024 1 repository listed
  This paper presents a methodology to learn surrogate models of steady state fluid dynamics simulations on meshed domains, based on Implicit Neural Representations (INRs).
• Scalable Transformer for PDE Surrogate Modeling
  27 May 2023 1 repository listed
  These sub-functions are then evaluated and used to compute the instance-based kernel with an axial factorized scheme.

Syntology lines on 3 of the papers shown; no Syntology record for the others (a paper without an arXiv id cannot be joined to the graph, and absence from the graph layer is not a recorded non-run). “Ran” means the sample executed on a synthesized fixture, not that the paper's result was reproduced. Read from the graph 2026-09-24.