Some Experimental Results Concerning the Error Propagation in Runge-Kutta Type Integration Formulas

This report deals with the global error propagation of RUNGE--KUTTA formulas. The problem is approached in two different ways. Section I presents the more conventional approach using the integrated differential equation for the error propagation. In Section II, two-sided (or bilateral) RUNGE-KUTTA formulas are derived. Knowledge of the leading term of the local truncation error is essential for both approaches.