Mei, Lijie; Huang, Li; Wu, Xinyuan Energy-preserving continuous-stage exponential Runge-Kutta integrators for efficiently solving Hamiltonian systems. (English) Zbl 1492.65188 SIAM J. Sci. Comput. 44, No. 3, A1092-A1115 (2022). MSC: 65L04 65L05 65L06 65P10 PDFBibTeX XMLCite \textit{L. Mei} et al., SIAM J. Sci. Comput. 44, No. 3, A1092--A1115 (2022; Zbl 1492.65188) Full Text: DOI
Li, Jiyong; Wu, Xinyuan Energy-preserving continuous stage extended Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems. (English) Zbl 1448.65266 Appl. Numer. Math. 145, 469-487 (2019). MSC: 65P10 65L06 37M15 PDFBibTeX XMLCite \textit{J. Li} and \textit{X. Wu}, Appl. Numer. Math. 145, 469--487 (2019; Zbl 1448.65266) Full Text: DOI
Wang, Bin; Wu, Xinyuan Global error bounds of one-stage extended RKN integrators for semilinear wave equations. (English) Zbl 1422.65229 Numer. Algorithms 81, No. 4, 1203-1218 (2019). MSC: 65M15 65P10 65L70 PDFBibTeX XMLCite \textit{B. Wang} and \textit{X. Wu}, Numer. Algorithms 81, No. 4, 1203--1218 (2019; Zbl 1422.65229) Full Text: DOI arXiv
Wang, Bin; Wu, Xinyuan Exponential collocation methods for conservative or dissipative systems. (English) Zbl 1418.65093 J. Comput. Appl. Math. 360, 99-116 (2019). MSC: 65L60 65L05 65P10 PDFBibTeX XMLCite \textit{B. Wang} and \textit{X. Wu}, J. Comput. Appl. Math. 360, 99--116 (2019; Zbl 1418.65093) Full Text: DOI arXiv
Liu, Changying; Wu, Xinyuan; Shi, Wei New energy-preserving algorithms for nonlinear Hamiltonian wave equation equipped with Neumann boundary conditions. (English) Zbl 1429.65189 Appl. Math. Comput. 339, 588-606 (2018). MSC: 65M06 35C15 35L20 35L71 PDFBibTeX XMLCite \textit{C. Liu} et al., Appl. Math. Comput. 339, 588--606 (2018; Zbl 1429.65189) Full Text: DOI
Wang, Bin; Wu, Xinyuan; Meng, Fanwei Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations. (English) Zbl 1353.65074 J. Comput. Appl. Math. 313, 185-201 (2017). MSC: 65L05 65L60 34A34 34C10 65L20 PDFBibTeX XMLCite \textit{B. Wang} et al., J. Comput. Appl. Math. 313, 185--201 (2017; Zbl 1353.65074) Full Text: DOI arXiv