New Runge-Kutta algorithms are developed which determine the solution of a system of ordinary differential equations at any point within a given integration step, as well as at the end of each step.

I have been interested in the derivation of new and better Runge-Kutta algorithms for some time. In particular, I showed that the design of Runge-Kutta pairs by E. Fehlberg could be improved to ...

The research of the institute focuses on the construction, analysis and implementation of efficient numerical methods and algorithms for solving practical and complex problems arising from various ...