The problem of the region of stability of the fourth order-Runge-Kutta method for the solution of systems of differential equations is studied. This region can be characterized by means of linear ...

The main objective of this paper is the study of the order and integration step size effect on the position and velocity of GLONASS satellites computed by the Runge-Kutta method and, consequently, on ...

In this paper the order conditions for Runge-Kutta methods are presented based on Butcher's rooted tree theory. A new Runge-Kutta method of order four (MINRK4) ...

1. Introduction RP1RK4 is a standalone executable program written in C++ that calculates the response of a rigid-plastic single-degree-of-freedom block to an arbitrary base acceleration input via the ...

A standalone executable program that calculates the response of a bilinear single-degree-of-freedom oscillator to an arbitrary base acceleration input via the fourth-order Runge-Kutta formulation.

To solve this problem, this paper proposes an algorithm to determine the best values for parameters in the Runge-Kutta method in order to guarantee the reliability of the results while using the ...