Abstract:
Coefficients of an explicit Runge-Kutta method which might be used for
initial-value ordinary differential equations, delay differential equations or
Volterra integral equations, often require many digits for their representation.
This can make manual checking of the coefficients unreliable.
We present a dual precision Fortran 77 package for checking the coefficients of an explicit Runge-Kutta method consisting of k formulae. In some
instances when a coefficient is wrong, the output from the package can be
used to deduce which coefficient is likely to be wrong