{
  "annotation_id": "953c23ef-28a5-4b8b-9470-6d9c8943d228",
  "date_created": "2026-03-02T18:00:50.141000Z",
  "date_modified": "2026-03-02T18:00:50.141000Z",
  "file_hash": "01c238c08861049b1fddff00687ce47bc1edbd8c1bf2914885d7011dee55f749",
  "private": false,
  "record": {
    "abstract": "Elementary integration methods for waveguides are compared. One using\nnon-local loading rules based on Heaviside step functions, one using input side\nintegration and one using integration of the output of traveling velocity\nwaves. We show that most approaches can be made consistent with the wave\nequation in principle, under proper circumstances. Of all methods studied the\nHeaviside method is the only method shown to not suffer from undesirable\nnumerical difficulties and amendable to standard waveguide loop filtering\npractices, yet it gives incorrect results for Neumann boundary conditions. We\nalso discuss localized velocity excitations, time-limited input-side\nexcitations and the relation of loop filters to wave variable type.",
    "arxiv_id": "physics/0407102",
    "authors": [
      "Georg Essl"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "title": "Elementary Integration Methods for Velocity Excitations in Displacement   Digital Waveguides",
    "url": "https://arxiv.org/abs/physics/0407102"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "17fb50db-406f-4287-8e45-2ed10b216e65",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}