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AN IMPROVED METHOD OF ERROR CONTROL FOR RUNGE-KUTTA NUMERICAL INTEGRATION

Randall K. Walters, Bernard F. Engebos

Abstract

An improved method to control error in the classical Runge-Kutta numerical integration scheme has been uncovered. The method is readily adaptable to the solutions of the differential equations of motion of an unguided rocket. This report presents the theoretical aspects behind this method and an evaluation of its efficiency.

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Available abstract

Key concepts: Runge–Kutta methods, Numerical integration, Rocket (weapon), Differential equation, Error analysis, Motion (physics), Computer science, Numerical methods for ordinary differential equations