{
  "annotation_id": "50727106-c2f3-40a5-9319-1527d9bc8f48",
  "date_created": "2026-03-02T18:00:39.708000Z",
  "date_modified": "2026-03-02T18:00:39.708000Z",
  "file_hash": "7266129ae62ff14b40410616f337a876b70f96e20183bf24ee8c6c404f461064",
  "private": false,
  "record": {
    "abstract": "We discuss a numerical algorithm for solving nonlinear integro-differential\nequations, and illustrate our findings for the particular case of Volterra type\nequations. The algorithm combines a perturbation approach meant to render a\nlinearized version of the problem and a spectral method where unknown functions\nare expanded in terms of Chebyshev polynomials (El-gendi\u0027s method). This\napproach is shown to be suitable for the calculation of two-point Green\nfunctions required in next to leading order studies of time-dependent quantum\nfield theory.",
    "arxiv_id": "physics/0202062",
    "authors": [
      "Bogdan Mihaila",
      "Ruth E. Shaw"
    ],
    "categories": [
      "physics.comp-ph",
      "hep-ph"
    ],
    "doi": "10.1088/0305-4470/35/25/311",
    "journal_ref": "J.Phys.A35:5315,2002",
    "title": "Parallel algorithm with spectral convergence for nonlinear   integro-differential equations",
    "url": "https://arxiv.org/abs/physics/0202062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "362841c2-22cd-4765-9bee-c0ffec00e875",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}