TY - JOUR A1 - Böckmann, Christine A1 - Brückner, Axel T1 - 100 years of the Runge-Kutta method : a brief editing for schools BT - Hundred years of the Runge-Kutta method : a brief editing for schools N2 - This paper reports on the historical development of the Runge-Kutta methods beginning with the simple Euler method up to an embedded 13-stage method. Moreover, the design and the use of those methods under error order, stability and computation time conditions is edited for students of numerical analysis at undergraduate level. The second part presents applications in natural sciences, compares different methods and illustrates some of the difficulties of numerical solutions. Y1 - 2001 SN - 0268-3679 ER -