English

Fast Neural Network based Solving of Partial Differential Equations

Machine Learning 2022-05-31 v2 Numerical Analysis Numerical Analysis

Abstract

We present a novel method for using Neural Networks (NNs) for finding solutions to a class of Partial Differential Equations (PDEs). Our method builds on recent advances in Neural Radiance Field research (NeRFs) and allows for a NN to converge to a PDE solution much faster than classic Physically Informed Neural Network (PINNs) approaches.

Keywords

Cite

@article{arxiv.2205.08978,
  title  = {Fast Neural Network based Solving of Partial Differential Equations},
  author = {Jaroslaw Rzepecki and Daniel Bates and Chris Doran},
  journal= {arXiv preprint arXiv:2205.08978},
  year   = {2022}
}
R2 v1 2026-06-24T11:21:10.146Z