{
  "annotation_id": "f17364c8-0853-4ae4-a141-d837e05221f0",
  "date_created": "2026-03-02T18:00:53.777000Z",
  "date_modified": "2026-03-02T18:00:53.777000Z",
  "file_hash": "75af22639c01f90ce9d3e424911e525745bc4ede882ad824153bddb8b72543c8",
  "private": false,
  "record": {
    "abstract": "Several recently developed multisymplectic schemes for Hamiltonian PDEs have\nbeen shown to preserve associated local conservation laws and constraints very\nwell in long time numerical simulations. Backward error analysis for PDEs, or\nthe method of modified equations, is a useful technique for studying the\nqualitative behavior of a discretization and provides insight into the\npreservation properties of the scheme. In this paper we initiate a backward\nerror analysis for PDE discretizations, in particular of multisymplectic box\nschemes for the nonlinear Schrodinger equation. We show that the associated\nmodified differential equations are also multisymplectic and derive the\nmodified conservation laws which are satisfied to higher order by the numerical\nsolution. Higher order preservation of the modified local conservation laws is\nverified numerically.",
    "arxiv_id": "physics/0412081",
    "authors": [
      "Alvaro L. Islas",
      "Constance M. Schober"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "title": "Backward error analysis for multisymplectic discretizations of   Hamiltonian PDEs",
    "url": "https://arxiv.org/abs/physics/0412081"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d41205a9-0bf6-4a5a-b43a-27c42a20281f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}