Dual precision software for checking explicit Runge-Kutta methods

P.W. Sharp and J.H. Verner


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 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.

Rungek-Kutta, explicit, coefficients, dual precision

Math Review Classification
Primary AMS: 65L06; CR: G.1.7

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15 pages

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