Cover Image

CodePDE: An Inference Framework for LLM-driven PDE Solver Generation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Li, Shanda, Marwah, Tanya, Shen, Junhong, Sun, Weiwei, Risteski, Andrej, Yang, Yiming, Talwalkar, Ameet
Format:	Preprint
Published:	2025
Subjects:	Machine Learning Artificial Intelligence Computation and Language Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

UPS: Efficiently Building Foundation Models for PDE Solving via Cross-Modal Adaptation
by: Shen, Junhong, et al.
Published: (2024)

Pre-Generating Multi-Difficulty PDE Data for Few-Shot Neural PDE Solvers
by: Choudhary, Naman, et al.
Published: (2025)

Nodal Hybrid Neural Solvers for Parametric PDE Systems
by: Liu, Yun, et al.
Published: (2025)

Learning to Relax: Setting Solver Parameters Across a Sequence of Linear System Instances
by: Khodak, Mikhail, et al.
Published: (2023)

Unisolver: PDE-Conditional Transformers Towards Universal Neural PDE Solvers
by: Zhou, Hang, et al.
Published: (2024)

Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers
by: Pförtner, Marvin, et al.
Published: (2022)

Learning Neural PDE Solvers with Convergence Guarantees
by: Hsieh, Jun-Ting, et al.
Published: (2019)

Quantifying Training Difficulty and Accelerating Convergence in Neural Network-Based PDE Solvers
by: Chen, Chuqi, et al.
Published: (2024)

Blending Neural Operators and Relaxation Methods in PDE Numerical Solvers
by: Zhang, Enrui, et al.
Published: (2022)

FrontierCO: Real-World and Large-Scale Evaluation of Machine Learning Solvers for Combinatorial Optimization
by: Feng, Shengyu, et al.
Published: (2025)

Convergence Guarantees for Gradient-Based Training of Neural PDE Solvers: From Linear to Nonlinear PDEs
by: Zhao, Wei, et al.
Published: (2025)

Nodal AMG Coarsening and Interpolation for PDE Systems
by: Brannick, James, et al.
Published: (2025)

A Variational Framework for the Algorithmic Complexity of PDE Solutions
by: Cardona, Juan Esteban Suarez, et al.
Published: (2025)

PDE Solvers Should Be Local: Fast, Stable Rollouts with Learned Local Stencils
by: Cheng, Chun-Wun, et al.
Published: (2025)

Flexible and Efficient Probabilistic PDE Solvers through Gaussian Markov Random Fields
by: Weiland, Tim, et al.
Published: (2025)

Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation
by: Zhang, Rui, et al.
Published: (2023)

Better Neural PDE Solvers Through Data-Free Mesh Movers
by: Hu, Peiyan, et al.
Published: (2023)

Generative downscaling of PDE solvers with physics-guided diffusion models
by: Lu, Yulong, et al.
Published: (2024)

Kernel Learning of PDE Solution Operators
by: Hu, Jianyu, et al.
Published: (2026)

A Variational Framework for Residual-Based Adaptivity in Neural PDE Solvers and Operator Learning
by: Toscano, Juan Diego, et al.
Published: (2025)

DiffusionPDE: Generative PDE-Solving Under Partial Observation
by: Huang, Jiahe, et al.
Published: (2024)

Bulk-Surface Coupled PDE with an Open Boundary
by: Epstein, Charles L., et al.
Published: (2026)

Adjoint Method in PDE-based Image Compression
by: Belhachmi, Zakaria, et al.
Published: (2023)

Adaptive Regularisation for PDE-Constrained Optimal Control
by: Power, Jenny, et al.
Published: (2025)

Approximation and application of minimizing movements for surface PDE
by: Ginder, Elliott, et al.
Published: (2024)

Are Deep Learning Based Hybrid PDE Solvers Reliable? Why Training Paradigms and Update Strategies Matter
by: Wu, Yuhan, et al.
Published: (2026)

Physics-Informed Inference Time Scaling for Solving High-Dimensional PDE via Defect Correction
by: Fan, Zexi, et al.
Published: (2025)

Deep Learning-Enhanced Preconditioning for Efficient Conjugate Gradient Solvers in Large-Scale PDE Systems
by: Li, Rui, et al.
Published: (2024)

End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solver
by: Ma, Shaocong, et al.
Published: (2024)

LieSolver: A PDE-constrained solver for IBVPs using Lie symmetries
by: Klausen, René P., et al.
Published: (2025)

Approximation of PDE solution manifolds: Sparse-grid interpolation and quadrature
by: Dũng, Dinh, et al.
Published: (2026)

A persistent-homology-based Bayesian prior for potential coefficient reconstruction in an elliptic PDE
by: Deng, Zhiliang, et al.
Published: (2025)

Minimal residual discretization of a class of fully nonlinear elliptic PDE
by: Gallistl, Dietmar, et al.
Published: (2024)

Hybrid PDE-Deep Neural Network Model for Calcium Dynamics in Neurons
by: Gurung, Abel, et al.
Published: (2024)

Locally Subspace-Informed Neural Operators for Efficient Multiscale PDE Solving
by: Rudikov, Alexander, et al.
Published: (2025)

On a PDE-based material parameter identification problem with contact constraints
by: Hubmer, Simon, et al.
Published: (2026)

Energy-Dissipative Evolutionary Kolmogorov-Arnold Networks for Complex PDE Systems
by: Lin, Guang, et al.
Published: (2025)

Adaptive anisotropic composite quadratures for residual minimisation in neural PDE approximations
by: Badia, Santiago, et al.
Published: (2026)

PDE-Constrained High-Order Mesh Optimization
by: Kolev, Tzanio, et al.
Published: (2025)

Graph Neural Regularizers for PDE Inverse Problems
by: Lauga, William, et al.
Published: (2025)