{
  "annotation_id": "f78a2a6c-1e07-4b9c-a446-93a47691fc46",
  "date_created": "2026-03-02T18:01:21.564000Z",
  "date_modified": "2026-03-02T18:01:21.564000Z",
  "file_hash": "b12fd85548d6e16fc9eeab6628cfa19f47dae78634239dcb03b1eb67d915c988",
  "private": false,
  "record": {
    "abstract": "An analytical-numeric calculation method of extremely complicated integrals\nis presented. These integrals appear often in magnet soliton theory. The\nappropriate analytical continuation and a corresponding integration contour\nallow to reduce the calculation of wide class of integrals to a numeric search\nof integrand denominator roots (in a complex plane) and a subsequent residue\ncalculations. The acceleration of series convergence of residue sum allows to\nreach the high relative accuracy limited only by roundoff error in case when\n$10\\div 15$ terms are taken into account. The circumscribed algorithm is\nrealized in the C program and tested on the example allowing analytical\nsolution. The program was also used to calculate some typical integrals that\ncan not be expressed through elementary functions. In this case the control of\ncalculation accuracy was made by means of one-dimensional numerical integration\nprocedure.",
    "arxiv_id": "physics/9812003",
    "authors": [
      "A. A. Zhmudsky"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "title": "One class of integrals evaluation in magnet solitons theory",
    "url": "https://arxiv.org/abs/physics/9812003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d55e006a-2f4b-4cec-ac10-d39a3f84c032",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}