2008•AIP conference proceedingsRequires access

Embedded Pairs of Exponentially Fitted Explicit Runge‐Kutta Methods for the Numerical Integration of Oscillatory Problems

A. París, L. Rández

Abstract

Two new embedded pairs of exponentially fitted explicit Runge‐Kutta methods for the numerical integration of initial value problems with oscillatory or periodic solutions are developped. These new pairs have algebraic orders 4(3) and 5(4) respectively. Several numerical tests show the performance of the new pairs when compared with other well‐known pairs.

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Key concepts: Runge–Kutta methods, Numerical integration, Algebraic number, Exponential growth, Applied mathematics, Initial value problem, Mathematics, Numerical analysis