RungeKuttasarjat
Runge-Kutta methods, often referred to as Runge-Kutta series, are a family of iterative methods used to approximate solutions of ordinary differential equations (ODEs). These methods are named after the German mathematicians Carl David Tolmé Runge and Martin Wilhelm Kutta, who developed and popularized them in the early 20th century. The Runge-Kutta methods are particularly valued for their balance between accuracy and computational efficiency.
The basic idea behind Runge-Kutta methods is to use a weighted average of several estimates of the
Runge-Kutta methods can be extended to higher orders, but the computational cost increases with each additional
Runge-Kutta methods are widely used in various fields, including physics, engineering, and computer science, for solving
In summary, Runge-Kutta methods are a powerful and versatile tool for approximating solutions of ordinary differential