🛠️ Invention or technique

Runge–Kutta method

Método de Runge-Kutta

Date
1895-1901 · confidence medium
Place
Hanover, Germany
Credited to
Carl Runge and Martin Kutta
Field
Knowledge & symbols

What it is

Runge proposed in 1895 a family of iterative methods for numerically solving differential equations without needing their higher-order derivatives, and Kutta generalized and systematized it in 1901, producing the fourth-order variant most used today.

What it led to

  • Standard numerical simulation in engineering, physics and meteorology
  • Integrators used in modern scientific software (rocket control, weather forecasting)

Links

Sources✓ verified 2026-09-28