Liu, Changying; Wu, Xinyuan Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations. (English) Zbl 1436.65197 Appl. Numer. Math. 153, 352-380 (2020). MSC: 65N35 65L06 65M06 65M12 65M15 35Q53 PDFBibTeX XMLCite \textit{C. Liu} and \textit{X. Wu}, Appl. Numer. Math. 153, 352--380 (2020; Zbl 1436.65197) Full Text: DOI
Mei, Lijie; Huang, Li; Wu, Xinyuan; Huang, Shixiang Semi-analytical exponential RKN integrators for efficiently solving high-dimensional nonlinear wave equations based on FFT techniques. (English) Zbl 07674816 Comput. Phys. Commun. 243, 68-80 (2019). MSC: 65-XX 37-XX PDFBibTeX XMLCite \textit{L. Mei} et al., Comput. Phys. Commun. 243, 68--80 (2019; Zbl 07674816) Full Text: DOI
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
Shi, Wei; Liu, Kai; Wu, Xinyuan; Liu, Changying An energy-preserving algorithm for nonlinear Hamiltonian wave equations with Neumann boundary conditions. (English) Zbl 1395.65090 Calcolo 54, No. 4, 1379-1402 (2017). Reviewer: Michael Jung (Dresden) MSC: 65M60 65M12 35Q53 PDFBibTeX XMLCite \textit{W. Shi} et al., Calcolo 54, No. 4, 1379--1402 (2017; Zbl 1395.65090) Full Text: DOI
Liu, Changying; Shi, Wei; Wu, Xinyuan An efficient high-order explicit scheme for solving Hamiltonian nonlinear wave equations. (English) Zbl 1339.65130 Appl. Math. Comput. 246, 696-710 (2014). MSC: 65M06 65M20 PDFBibTeX XMLCite \textit{C. Liu} et al., Appl. Math. Comput. 246, 696--710 (2014; Zbl 1339.65130) Full Text: DOI