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 ...
Highly Continuous Interpolants for One-Step Ode Solvers and their Application to Runge-Kutta Methods
SIAM Journal on Numerical Analysis, Vol. 34, No. 1 (Feb., 1997), pp. 22-47 (26 pages) We suggest a general method for the construction of highly continuous interpolants for one-step methods applied to ...
This is a preview. Log in through your library . Abstract Some results about the A-stability of Runge-Kutta collocation methods based on the zeros and extrema of the ultraspherical or Gegenbauer ...
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