{
  "annotation_id": "b87186a9-cd07-4ce9-9fbc-4833593fedca",
  "date_created": "2026-03-02T18:01:11.464000Z",
  "date_modified": "2026-03-02T18:01:11.464000Z",
  "file_hash": "dcf7bb41056959bd9b7d89a4bd25bd67f2cf80d30f07fe793a9cc9efe1582aba",
  "private": false,
  "record": {
    "abstract": "Three pseudospectral algorithms are described (Euler, leapfrog and trapez)\nfor solving numerically the time dependent nonlinear Schroedinger equation in\none, two or three dimensions. Numerical stability regions in the parameter\nspace are determined for the cubic nonlinearity, which can be easily extended\nto other nonlinearities. For the first two algorithms, maximal timesteps for\nstability are calculated in terms of the maximal Fourier harmonics admitted by\nthe spectral method used to calculate space derivatives. The formulas are\ndirectly applicable if the discrete Fourier transform is used, i.e. for\nperiodic boundary conditions. These formulas were used in the relevant\nnumerical programs developed in our group.",
    "arxiv_id": "physics/0608274",
    "authors": [
      "A. A. Skorupski"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "title": "Pseudospectral Algorithms for Solving Nonlinear Schroedinger Equation in   3D",
    "url": "https://arxiv.org/abs/physics/0608274"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1ae6a218-ea43-46b6-a104-78a426e158ef",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}