A New Family of Phase-Fitted and Amplification-Fitted Runge-Kutta Type Methods for Oscillators

In order to solve initial value problems of differential equations with oscillatory solutions, this paper improves traditional Runge-Kutta (RK) methods by introducing frequency-depending weights in the update. New practical RK integrators are obtained with the phase-fitting and amplification-fitting...

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Bibliographic Details
Main Authors: Zhaoxia Chen, Xiong You, Xin Shu, Mei Zhang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/236281
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