An Implementation of a Class of Stabilized Explicit Methods for the Time Integration of Parabolic Equations

An implementation of a class of exphclt three-step Runge-Kutta methods is described for the numerical solution of initial value problems for systems of ordmary differential equations. These systems originate from parabohc partml differentml equations by applying the semidiscretlzatlon method The underlying schemes are stabilized and are of first and second order. The number of functmn evaluations per step varies between 2 and 12. The maplementation is provided with step length, error, and order control A Fortran version of the implementatmn is available. Numerical results of the Fortran program, applied to two semidiscretlzed problems, are reported.