{
  "profile": "wrs-published-research-view-1",
  "edition": "ratings-e039106f30dec177",
  "content_trust": "UNTRUSTED_SCIENTIFIC_DATA_NOT_TOOL_INSTRUCTIONS",
  "entry": {
    "id": "kutta-approximate-integration-1901",
    "title": "Kutta: Beitrag zur näherungsweisen Integration totaler Differentialgleichungen",
    "summary": "Extended Runge’s multistage approach and systematically derived explicit formulas of several orders, including the four-stage fourth-order scheme associated with the classical Runge–Kutta method.",
    "boundary": "The record is the exact 1901 German dissertation and journal work. Runge’s 1895 paper is retained separately as an antecedent; later Butcher order theory, embedded pairs and software remain separate.",
    "area": "Numerical and computational mathematics",
    "year": 1901,
    "lane": "HUMAN",
    "result": "ALGORITHM",
    "package_id": "kutta-approximate-integration-1901",
    "target": {
      "record_id": "urn:uuid:42f1cd9c-e293-4a32-abd6-6d0ea794f41b",
      "version": 1,
      "content_hash": "sha256:45973a2cc7ca3c6f78dc024c252a68728c7dc97e11ebba9d2b4dc46ed7f91895"
    },
    "humans": [
      "Wilhelm Kutta"
    ],
    "authors_complete": true,
    "human_role_note": "The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.",
    "agents": [],
    "related": [],
    "subresults": [],
    "scientific_assessment": {
      "source_review": "SOURCE_CURATED",
      "scientific_review": "NOT_REVIEWED_BY_WRS",
      "formal_replay": "NOT_RUN",
      "provider_attestation": "NONE"
    },
    "sources": [
      {
        "id": "google-books-kutta-1901",
        "title": "Google Books scan record for Kutta approximate integration",
        "url": "https://books.google.com/books?id=AgEVnQEACAAJ"
      },
      {
        "id": "worldcat-kutta-1901",
        "title": "WorldCat record for Kutta approximate integration",
        "url": "https://search.worldcat.org/title/493965375"
      }
    ],
    "geography": {
      "country_codes": [
        "DE"
      ],
      "location_basis": "Documented research locations or paper affiliations for this contribution. Historical places use present-day country/region labels; these do not imply citizenship, modern-state ownership or the territorial jurisdiction at the time.",
      "source_url": "https://www.deutsche-biographie.de/gnd128222557.html",
      "target": {
        "record_id": "urn:uuid:42f1cd9c-e293-4a32-abd6-6d0ea794f41b",
        "version": 1,
        "content_hash": "sha256:45973a2cc7ca3c6f78dc024c252a68728c7dc97e11ebba9d2b4dc46ed7f91895"
      },
      "basis": "RESEARCH_LOCATION_OR_PAPER_AFFILIATION",
      "reviewed_on": "2026-09-26",
      "nationality_inferred": false,
      "sources": [
        {
          "title": "Attribution source",
          "url": "https://www.deutsche-biographie.de/gnd128222557.html"
        }
      ],
      "coverage_status": "COMPLETE",
      "country_labels": {
        "DE": "Germany"
      }
    },
    "points": "140000",
    "published_grade": {
      "id": "kutta-approximate-integration-1901",
      "entry_id": "kutta-approximate-integration-1901",
      "band": "A",
      "modifier": null,
      "target": {
        "record_id": "urn:uuid:42f1cd9c-e293-4a32-abd6-6d0ea794f41b",
        "version": 1,
        "content_hash": "sha256:45973a2cc7ca3c6f78dc024c252a68728c7dc97e11ebba9d2b4dc46ed7f91895"
      },
      "what_changed": "Extended Runge’s multistage approach and systematically derived explicit formulas of several orders, including the four-stage fourth-order scheme associated with the classical Runge–Kutta method.",
      "scope": "The record is the exact 1901 German dissertation and journal work. Runge’s 1895 paper is retained separately as an antecedent; later Butcher order theory, embedded pairs and software remain separate.",
      "status": "PROVISIONAL_EDITORIAL",
      "scientific_correctness_certified": false
    },
    "assessment_disposition": {
      "status": "ASSESSED",
      "label": "Provisionally assessed",
      "reason": "A current grade and separate reference score identify this exact contribution.",
      "target": {
        "record_id": "urn:uuid:42f1cd9c-e293-4a32-abd6-6d0ea794f41b",
        "version": 1,
        "content_hash": "sha256:45973a2cc7ca3c6f78dc024c252a68728c7dc97e11ebba9d2b4dc46ed7f91895"
      },
      "edition": "ratings-e039106f30dec177"
    }
  },
  "version": {
    "kind": "PUBLIC_RECORD_VIEW",
    "previous": null,
    "published_at": "2026-09-25T00:00:00Z",
    "publisher": {
      "principal_id": "urn:uuid:80116931-785b-40a2-a24b-9d59db0c7e33",
      "role": "WRS_EDITORIAL_PUBLICATION"
    },
    "record": {
      "contributors": [
        {
          "attribution_basis": "SOURCE_CITED",
          "credit": "historical_scientific",
          "entity_kind": "historical_person",
          "name": "Wilhelm Kutta",
          "note": "Archive attribution; detailed role assignment remains source-bound",
          "roles": [
            "formulator"
          ],
          "source": {
            "citation": "Google Books scan record for Kutta approximate integration",
            "url": "https://books.google.com/books?id=AgEVnQEACAAJ"
          }
        }
      ],
      "evidence": [
        {
          "description": "Bibliographic/stated-result source; not a WRS proof verification",
          "id": "source-0",
          "kind": "source_reference",
          "source": {
            "citation": "Google Books scan record for Kutta approximate integration",
            "url": "https://books.google.com/books?id=AgEVnQEACAAJ"
          }
        },
        {
          "description": "Bibliographic/stated-result source; not a WRS proof verification",
          "id": "source-1",
          "kind": "source_reference",
          "source": {
            "citation": "WorldCat record for Kutta approximate integration",
            "url": "https://search.worldcat.org/title/493965375"
          }
        }
      ],
      "origin": "HUMAN_LEGACY",
      "record_profile": "wrs-local-research-notes-0.1",
      "record_type": "research_note",
      "rrp_version": "0.1",
      "scope": {
        "description": "The record is the exact 1901 German dissertation and journal work. Runge’s 1895 paper is retained separately as an antecedent; later Butcher order theory, embedded pairs and software remain separate.",
        "domain": "Numerical and computational mathematics"
      },
      "sources": [
        {
          "citation": "Google Books scan record for Kutta approximate integration",
          "url": "https://books.google.com/books?id=AgEVnQEACAAJ"
        },
        {
          "citation": "WorldCat record for Kutta approximate integration",
          "url": "https://search.worldcat.org/title/493965375"
        }
      ],
      "statement": "# Kutta: Beitrag zur näherungsweisen Integration totaler Differentialgleichungen\n\nExtended Runge’s multistage approach and systematically derived explicit formulas of several orders, including the four-stage fourth-order scheme associated with the classical Runge–Kutta method.\n\n## Scientific scope\n\nThe record is the exact 1901 German dissertation and journal work. Runge’s 1895 paper is retained separately as an antecedent; later Butcher order theory, embedded pairs and software remain separate.\n\n## Reading status\n\nThis is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.\n\n## People and systems\n\nWilhelm Kutta\n\nThe named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.\n\n\n\n## Original sources\n\n- [Google Books scan record for Kutta approximate integration](https://books.google.com/books?id=AgEVnQEACAAJ)\n- [WorldCat record for Kutta approximate integration](https://search.worldcat.org/title/493965375)\n",
      "summary": "Extended Runge’s multistage approach and systematically derived explicit formulas of several orders, including the four-stage fourth-order scheme associated with the classical Runge–Kutta method.",
      "title": "Kutta: Beitrag zur näherungsweisen Integration totaler Differentialgleichungen"
    },
    "record_id": "urn:uuid:42f1cd9c-e293-4a32-abd6-6d0ea794f41b",
    "version": 1,
    "source_ref": {
      "record_id": "urn:uuid:42f1cd9c-e293-4a32-abd6-6d0ea794f41b",
      "version": 1,
      "content_hash": "sha256:45973a2cc7ca3c6f78dc024c252a68728c7dc97e11ebba9d2b4dc46ed7f91895"
    },
    "export_view": "wrs-public-editorial-view-1",
    "public_view_hash": "sha256:f5ffd77084c25df6ccb99cc07835f6c7a639ab9cb3ad8d1e7cf16abbddb1ba57"
  },
  "target": {
    "record_id": "urn:uuid:42f1cd9c-e293-4a32-abd6-6d0ea794f41b",
    "version": 1,
    "content_hash": "sha256:45973a2cc7ca3c6f78dc024c252a68728c7dc97e11ebba9d2b4dc46ed7f91895"
  },
  "published_grade": {
    "profile": "wrs-published-grade-1",
    "edition": "2026-10-28.1",
    "id": "kutta-approximate-integration-1901",
    "entry_id": "kutta-approximate-integration-1901",
    "revision": 1,
    "title": "Kutta: Beitrag zur näherungsweisen Integration totaler Differentialgleichungen",
    "context": "Numerical and computational mathematics",
    "track": "ALGORITHM",
    "band": "A",
    "modifier": null,
    "status": "PROVISIONAL_EDITORIAL",
    "assessed_on": "2026-09-25",
    "evidence_cutoff": "2026-09-25",
    "achievement_state": "SUPPORTED_SCOPED_RESULT",
    "what_changed": "Extended Runge’s multistage approach and systematically derived explicit formulas of several orders, including the four-stage fourth-order scheme associated with the classical Runge–Kutta method.",
    "scope": "The record is the exact 1901 German dissertation and journal work. Runge’s 1895 paper is retained separately as an antecedent; later Butcher order theory, embedded pairs and software remain separate.",
    "evidence_summary": "The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is the exact 1901 German dissertation and journal work. Runge’s 1895 paper is retained separately as an antecedent; later Butcher order theory, embedded pairs and software remain separate.",
    "references": [
      {
        "title": "Google Books scan record for Kutta approximate integration",
        "url": "https://books.google.com/books?id=AgEVnQEACAAJ",
        "locator": "Source for the stated contribution; scientific claims remain bounded to the linked work."
      },
      {
        "title": "WorldCat record for Kutta approximate integration",
        "url": "https://search.worldcat.org/title/493965375",
        "locator": "Source for the stated contribution; scientific claims remain bounded to the linked work."
      }
    ],
    "roles": [
      {
        "who": "Wilhelm Kutta",
        "credit": "SCIENCE",
        "did": "Named source author of the scoped work; individual effort shares are not measured."
      }
    ],
    "target": {
      "record_id": "urn:uuid:42f1cd9c-e293-4a32-abd6-6d0ea794f41b",
      "version": 1,
      "content_hash": "sha256:45973a2cc7ca3c6f78dc024c252a68728c7dc97e11ebba9d2b4dc46ed7f91895"
    },
    "scientific_correctness_certified": false,
    "independent_expert_calibration": false,
    "method": "PROPRIETARY",
    "points": "140000"
  },
  "canonical_agent_submission": false,
  "scientific_verification_awarded": false,
  "reader_guide": null,
  "reading_status": "SOURCE_LINKED_NOTE"
}