Runge-Kutta Method
The Runge-Kutta Method is a family of explicit numerical techniques for solving ordinary differential equations (ODEs) developed independently by Carl Runge in 1895 and Martin Kutta in 1901. The fourth-order variant (RK4) is one of the most widely used algorithms in computational science and engineering for time-stepping problems.
Source record
Citations copied verbatim from the method’s source record. No claim-level verification is inferred from them.
- Runge, C. (1895). Ueber die numerische Auflösung von Differentialgleichungen. Mathematische Annalen, 46(2), 167–178. · DOI 10.1007/BF01446807
- Kutta, M. W. (1901). Beitrag zur näherungsweisen Integration totaler Differentialgleichungen. Zeitschrift für Mathematik und Physik, 46, 435–453. · URL
- Butcher, J. C. (2008). Numerical Methods for Ordinary Differential Equations (2nd ed.). Wiley. · DOI 10.1002/9780470753767
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