We cite from the abstract: “
This centenary history of Runge-Kutta methods contains an appreciation of the early work of Runge, Heun, Kutta, and Nyström and a survey of some significant developments of these methods over the last hundred years. In particular, the order conditions
will be outlined,
the introduction and practical implementation of implicit Runge-Kutta methods, the use of linear and nonlinear stability analysis
the theory and applications of the composition of methods
Runge-Kutta methods for Hamiltonian systems
”. Of great interest are also the comments on an early article of Coriolis (1837), and the picture of the historically first order star.