Runge–Kutta Method

Available identifiers

family of implicit and explicit methods used in temporal discretization for the approximate solutions of differential equations

These methods, which include the Euler method, were developed around 1900 by the German mathematicians Carl Runge and Wilhelm Kutta.

Defining Formula: $\begin{matrix} c_{1} & a_{11} & a_{12} & \dots & a_{1 s} \\ c_{2} & a_{21} & a_{22} & \dots & a_{2 s} \\ ⋮ & ⋮ & ⋮ & ⋱ & ⋮ \\ c_{s} & a_{s 1} & a_{s 2} & \dots & a_{s s} \\ b_{1} & b_{2} & \dots & b_{s} \end{matrix}$

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