P. J. Prince

P. J. Prince is the co-originator, with John R. Dormand, of the Dormand-Prince method, an embedded Runge-Kutta method for solving ordinary differential equations. The method has seven stages but uses only six function evaluations per step because of the First Same As Last property, in which the last stage is evaluated at the same point as the first stage of the next step. Dormand and Prince chose the coefficients of their method to minimize the error of the fifth-order solution, so the method suits local extrapolation. It is the default method in the ode45 solver of MATLAB and GNU Octave and an option in the SciPy and Julia ODE libraries.