{
  "id": "2209.14170",
  "version": "v1",
  "published": "2022-09-28T15:29:28.000Z",
  "updated": "2022-09-28T15:29:28.000Z",
  "title": "Adjoint System in the Shooting Method to Solve Boundary Value Problems",
  "authors": [
    "Ernest Scheiber"
  ],
  "comment": "11 pages, 1 figure with 6 subfigures",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "An alternative is developed to find the unknown initial values using the adjoint differential system attached to the differential system of the boundary value problem. The method is iterative and it requires to solve an algebraic linear system per iteration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-28T15:29:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65L10",
      "65L99"
    ],
    "keywords": [
      "boundary value problem",
      "adjoint system",
      "shooting method",
      "adjoint differential system",
      "algebraic linear system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}