Plenary Lecture

A Performance Analysis of Some New Goeken-Johnson Methods versus the Classical Runge-Kutta Methods

Professor Adrian Ionescu
Dept of Math and Computer Science
Wagner College
Staten Island, NY 10301
U.S.A.
E-mail: ionescu@wagner.edu

Abstract:The autonomous ordinary differential equation initial-value problems are traditionally solved numerically by using the Runge-Kutta methods. These methods perform multiple evaluations of the function. A few years ago, some new Runge-Kutta methods are introduced by Goeken & Johnson, in which the user will evaluate both the function and derivative. We compare the classical Runge-Kutta methods of orders 3, 4 and 5, and the corresponding new Goeken-Johnson methods. These results (for performance and accuracy) indicate that the new methods are at least comparable if not better than the classical methods.

Brief Biography of the Speaker:
Adrian Ionescu is a Professor of Mathematics and Computer Science at Wagner College. He received his Ph.D. in Mathematics from Texas A&M University, his M.S. in Computer Science from University of Houston, and his B.S./M.S in Mathematics from University of Bucharest. His research areas include functional analysis, system analysis, numerical analysis, and theory of computation.