{
  "abstract": "We present an iteration algorithm for vacuum and Einstein scalar-field equations in double-null gauge, which transform the non-linear PDE into systems of ODE. The numerical realization combines characteristic constraint solves, LGL spectral elements, pole-free spherical operators, Galerkin projection, and independent first-order residual and consistency checks.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08421",
  "author_total": 1,
  "authors": [
    {
      "name": "Shengrong Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4m2h4vzpj12pq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08421",
  "fulltext_url": null,
  "id": "4m2h4vzpj12pq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08421",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "arxiv",
      "physics.comp-ph"
    ],
    [
      "openalex",
      "3103|Relativity and Gravitational Theory"
    ]
  ],
  "openalex": "W7212036012",
  "pdf_url": "https://arxiv.org/pdf/2609.08421",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4m2h4vzpj12pq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:49Z",
      "native_id": "2609.08421",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08421"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Picard Iteration for the Characteristic Initial Value Problem in Einstein Equations",
  "title_text": "Picard Iteration for the Characteristic Initial Value Problem in Einstein Equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/4m2h4vzpj12pq",
  "venue": "arXiv",
  "versions": []
}