{
  "annotation_id": "e9511aec-36c1-4184-b55d-4e8eba093dcb",
  "date_created": "2026-03-02T18:01:24.033000Z",
  "date_modified": "2026-03-02T18:01:24.033000Z",
  "file_hash": "79b980b1469e44c748fcd39a988999c5cabddcefa7344bab473fa040a39ab201",
  "private": false,
  "record": {
    "abstract": "In this paper we present applications of methods from wavelet analysis to\npolynomial approximations for a number of accelerator physics problems.\nAccording to variational approach in the general case we have the solution as a\nmultiresolution (multiscales) expansion in the base of compactly supported\nwavelet basis. We give extension of our results to the cases of periodic\norbital particle motion and arbitrary variable coefficients. Then we consider\nmore flexible variational method which is based on biorthogonal wavelet\napproach. Also we consider different variational approach, which is applied to\neach scale.",
    "arxiv_id": "physics/9902062",
    "authors": [
      "Antonina N. Fedorova",
      "Michael G. Zeitlin",
      "Zohreh Parsa"
    ],
    "categories": [
      "physics.acc-ph",
      "chao-dyn",
      "math-ph",
      "math.MP",
      "nlin.CD",
      "physics.comp-ph"
    ],
    "doi": "10.1063/1.58425",
    "journal_ref": "AIP Conf.Proc. 468 (1999) 48-68",
    "title": "Variational Approach in Wavelet Framework to Polynomial Approximations   of Nonlinear Accelerator Problems",
    "url": "https://arxiv.org/abs/physics/9902062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "13772272-2502-41a0-bbf1-338e2a83e495",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}