{
  "annotation_id": "5e026502-a2b1-4a13-81bf-3e6e4c88d242",
  "date_created": "2026-03-02T18:02:50.570000Z",
  "date_modified": "2026-03-02T18:02:50.570000Z",
  "file_hash": "87e40651fa613233072dee902ac3d11a2ff00dbcadc38e2a40e2222024dbf3a2",
  "private": false,
  "record": {
    "abstract": "Recent advances in nonlinear dynamical systems theory provide a new insight\ninto numerical properties of discrete algorithms developed to solve nonlinear\ninitial value problems. Basic features like accuracy and stability are well\npointed out through diagrams or maps of computed asymptotic solutions in a\nsuitable parametric space. Applying this methodology to a nonlinear test\nequation, we compared some numerical features of the well known second-order\nCrank-Nicolson solver with those of a recent proposed version which is\nfourth-order accurate. The approach gives some useful indication on the\ncapabilities of familiar and innovative ODE integrators when applied to\nnonlinear problems.",
    "arxiv_id": "solv-int/9509011",
    "authors": [
      "S. Sello"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Nonlinear Behaviour of Time-Stepping Algorithms for Initial Value   Problems",
    "url": "https://arxiv.org/abs/solv-int/9509011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3ad133d0-237d-480d-b077-d683f9e0abfd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}