{
  "annotation_id": "b6911913-5e26-4e38-ae13-0f8ed4747f39",
  "date_created": "2026-03-02T18:00:43.430000Z",
  "date_modified": "2026-03-02T18:00:43.430000Z",
  "file_hash": "04e6388ca7ce874a6bc726eb0685034a5bfea52a371f8e3b2959ec7d2f4f7119",
  "private": false,
  "record": {
    "abstract": "We explore the gap-tooth method for multiscale modeling of systems\nrepresented by microscopic physics-based simulators, when coarse-grained\nevolution equations are not available in closed form. A biased random walk\nparticle simulation, motivated by the viscous Burgers equation, serves as an\nexample. We construct macro-to-micro (lifting) and micro-to-macro (restriction)\noperators, and drive the coarse time-evolution by particle simulations in\nappropriately coupled microdomains (teeth) separated by large spatial gaps. A\nmacroscopically interpolative mechanism for communication between the teeth at\nthe particle level is introduced. The results demonstrate the feasibility of a\nclosure-on-demand approach to solving hydrodynamics problems.",
    "arxiv_id": "physics/0303010",
    "authors": [
      "C. William Gear",
      "Ju Li",
      "Ioannis G. Kevrekidis"
    ],
    "categories": [
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1016/j.physleta.2003.07.004",
    "title": "The Gap-Tooth Method in Particle Simulations",
    "url": "https://arxiv.org/abs/physics/0303010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ec72faf5-96a5-4b3b-b85f-f8261f2a2de4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}