AWhat 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.
Scientific 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
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.
Contributors
- Wilhelm Kutta · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.
- Google Books scan record for Kutta approximate integration
- WorldCat record for Kutta approximate integration
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
Full scientific record · Browse contribution grades · Request a correction