Chen, Zhaoxia; Shi, Lei; Liu, Siyao; You, Xiong Trigonometrically fitted two-derivative Runge-Kutta-Nyström methods for second-order oscillatory differential equations. (English) Zbl 1477.65110 Appl. Numer. Math. 142, 171-189 (2019). MSC: 65L06 65L05 PDFBibTeX XMLCite \textit{Z. Chen} et al., Appl. Numer. Math. 142, 171--189 (2019; Zbl 1477.65110) Full Text: DOI
Chen, Zhaoxia; Qiu, Zeyu; Li, Juan; You, Xiong Two-derivative Runge-Kutta-Nyström methods for second-order ordinary differential equations. (English) Zbl 1335.65059 Numer. Algorithms 70, No. 4, 897-927 (2015). Reviewer: Martin Reißel (Aachen) MSC: 65L06 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{Z. Chen} et al., Numer. Algorithms 70, No. 4, 897--927 (2015; Zbl 1335.65059) Full Text: DOI
You, Xiong; Chen, Zhaoxia Direct integrators of Runge-Kutta type for special third-order ordinary differential equations. (English) Zbl 1285.65047 Appl. Numer. Math. 74, 128-150 (2013). MSC: 65L06 PDFBibTeX XMLCite \textit{X. You} and \textit{Z. Chen}, Appl. Numer. Math. 74, 128--150 (2013; Zbl 1285.65047) Full Text: DOI
Wu, Xinyuan; You, Xiong; Wang, Bin Structure-preserving algorithms for oscillatory differential equations. (English) Zbl 1276.65041 Berlin: Springer; Beijing: Science Press (ISBN 978-3-642-35337-6/hbk; 978-3-642-35338-3/ebook). xii, 236 p. (2013). Reviewer: Roland Pulch (Greifswald) MSC: 65L05 65-02 65L06 65P10 34A34 34C10 37M15 37J05 PDFBibTeX XMLCite \textit{X. Wu} et al., Structure-preserving algorithms for oscillatory differential equations. Berlin: Springer; Beijing: Science Press (2013; Zbl 1276.65041) Full Text: DOI
Wu, Xinyuan; Wang, Bin; Shi, Wei; You, Xiong On extended RKN integrators for multidimensional perturbed oscillators with applications. (English) Zbl 1243.65088 Appl. Math. Modelling 36, No. 4, 1504-1513 (2012). MSC: 65L06 PDFBibTeX XMLCite \textit{X. Wu} et al., Appl. Math. Modelling 36, No. 4, 1504--1513 (2012; Zbl 1243.65088) Full Text: DOI
Wu, Xinyuan; You, Xiong; Shi, Wei; Wang, Bin ERKN integrators for systems of oscillatory second-order differential equations. (English) Zbl 1217.65141 Comput. Phys. Commun. 181, No. 11, 1873-1887 (2010). MSC: 65L05 PDFBibTeX XMLCite \textit{X. Wu} et al., Comput. Phys. Commun. 181, No. 11, 1873--1887 (2010; Zbl 1217.65141) Full Text: DOI
Wu, Xinyuan; You, Xiong; Xia, Jianlin Order conditions for ARKN methods solving oscillatory systems. (English) Zbl 1197.65084 Comput. Phys. Commun. 180, No. 11, 2250-2257 (2009). MSC: 65L05 65L06 PDFBibTeX XMLCite \textit{X. Wu} et al., Comput. Phys. Commun. 180, No. 11, 2250--2257 (2009; Zbl 1197.65084) Full Text: DOI
Wu, Xinyuan; You, Xiong On multidimensional ARKN methods for systems of perturbed oscillators. (English) Zbl 1185.65128 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 896-899 (2009). MSC: 65L06 65L05 34A34 34C10 PDFBibTeX XMLCite \textit{X. Wu} and \textit{X. You}, AIP Conf. Proc. 1168, 896--899 (2009; Zbl 1185.65128) Full Text: DOI