Published February 18, 2026 | Version v1

Preconditioning and Numerical Stability in Neural Network Training for Parametric PDEs (Python code)

  • 1. Institut für Geometrie und Praktische Mathematik, RWTH Aachen University
  • 2. Mathematics Department, University of South Carolina

Description

This repository contains a PyTorch implementation for the paper Preconditioning and Numerical Stability in Neural Network Training for Parametric PDEs, by Markus Bachmayr, Wolfgang Dahmen, Chenguang Duan, and Mathias Oster.

 

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Additional details

Related works

Is supplement to
Preprint: arXiv:2601.23185 (arXiv)

Funding

Deutsche Forschungsgemeinschaft
SFB 1481 442047500
European Research Council
COCOA 101170147
U.S. National Science Foundation
FRG DMS-2245097
U.S. National Science Foundation
DMS-2513112
U.S. National Science Foundation
RTG DMS-2038080

Dates

Available
2026-02

Software

Programming language
Python