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 ...

There are three interesting properties of methods for (stiff) ordinary differential equations: order, stability and efficiency of implementation. This paper constructs Runge-Kutta methods of orders 5 ...