{
  "id": "2205.08978",
  "version": "v1",
  "published": "2022-05-18T15:02:01.000Z",
  "updated": "2022-05-18T15:02:01.000Z",
  "title": "Fast Neural Network based Solving of Partial Differential Equations",
  "authors": [
    "Jaroslaw Rzepecki",
    "Chris Doran"
  ],
  "categories": [
    "cs.LG",
    "cs.NA",
    "math.NA"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-18T15:02:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partial differential equations",
      "fast neural network",
      "neural radiance field research",
      "classic physically informed neural network",
      "method builds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}