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 ...
SIAM Journal on Numerical Analysis, Vol. 53, No. 1 (2015), pp. 17-42 (26 pages) This work considers a general structure of the additively partitioned Runge–Kutta methods by allowing for different ...
This is a preview. Log in through your library . Abstract In this paper we consider the development of Implicit-Explicit (IMEX) Runge-Kutta schemes for hyperbolic systems with multiscale relaxation.
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