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01-12-2019

Symmetric collocation ERKN methods for general second-order oscillators

Authors: Xiong You, Ruqiang Zhang, Ting Huang, Yonglei Fang

Published in: Calcolo | Issue 4/2019

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Abstract

For the numerical solution of the general second-order oscillatory system \(y''+ M y = f(y,y')\), You et al. (Numer Algorithm 66:147–176, 2014) proposed the extended Runge–Kutta–Nyström (ERKN) methods. This paper is devoted to symmetric collocation ERKN methods of Gauss and Lobatto IIIA types by Lagrange interpolation. Linear stability of the new ERKN methods is analyzed. Numerical experiments show the high effectiveness of the new ERKN methods compared to their RKN counterparts.

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Title: Symmetric collocation ERKN methods for general second-order oscillators
Authors: Xiong You
Ruqiang Zhang
Ting Huang
Yonglei Fang
Publication date: 01-12-2019
Publisher: Springer International Publishing
Published in: Calcolo / Issue 4/2019
Print ISSN: 0008-0624
Electronic ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-019-0344-1

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Symmetric collocation ERKN methods for general second-order oscillators

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