{
  "annotation_id": "14070517-a1b5-424c-bb34-3ebebdae5fbf",
  "date_created": "2026-03-02T18:00:53.747000Z",
  "date_modified": "2026-03-02T18:00:53.747000Z",
  "file_hash": "096217d8efff3a5857ef12ac26ffe5595bde8175b38c25defca7671bb80c30c5",
  "private": false,
  "record": {
    "abstract": "We present an exact mathematical transformation which converts a wide class\nof advection-diffusion equations into a form allowing simple and direct spatial\ndiscretization in all dimensions, and thus the construction of accurate and\nmore efficient numerical algorithms. These discretized forms can also be viewed\nas master equations which provides an alternative mesoscopic interpretation of\nadvection-diffusion processes in terms of diffusion with spatially varying\nhopping rates.",
    "arxiv_id": "physics/0412074",
    "authors": [
      "R. Grima",
      "T. J. Newman"
    ],
    "categories": [
      "physics.comp-ph",
      "cond-mat.stat-mech",
      "physics.geo-ph"
    ],
    "doi": "10.1103/PhysRevE.70.036703",
    "journal_ref": "Physical Review E 70, #036703 (2004)",
    "title": "Accurate discretization of advection-diffusion equations",
    "url": "https://arxiv.org/abs/physics/0412074"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d06e3a6a-bd3a-492e-a24e-e2809b436892",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}