{
  "id": "2207.06145",
  "version": "v1",
  "published": "2022-07-13T12:10:59.000Z",
  "updated": "2022-07-13T12:10:59.000Z",
  "title": "On the matching of eigensolutions to parametric partial differential equations",
  "authors": [
    "Moataz M. Alghamdi",
    "Fleurianne Bertrand",
    "Francesca Bonizzoni",
    "Abdul Halim",
    "Gopal Priyadarshi",
    "Daniele Boffi"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "In this paper a novel numerical approximation of parametric eigenvalue problems is presented. We motivate our study with the analysis of a POD reduced order model for a simple one dimensional example. In particular, we introduce a new algorithm capable to track the matching of eigenvalues when the parameters vary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-13T12:10:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "parametric partial differential equations",
      "eigensolutions",
      "parametric eigenvalue problems",
      "pod reduced order model",
      "parameters vary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}