Shi, Yanyan; Sun, Yajuan; Wang, Yulei; Liu, Jian Study of adaptive symplectic methods for simulating charged particle dynamics. (English) Zbl 1432.37110 J. Comput. Dyn. 6, No. 2, 429-448 (2019). MSC: 37M15 78A35 PDFBibTeX XMLCite \textit{Y. Shi} et al., J. Comput. Dyn. 6, No. 2, 429--448 (2019; Zbl 1432.37110) Full Text: DOI
He, Yang; Sun, Yajuan; Shang, Zaijiu Integrable disdretisation of the Lotka-Volterra system. (English) Zbl 1349.65693 J. Comput. Math. 33, No. 5, 468-494 (2015). MSC: 65P10 37K10 37M15 PDFBibTeX XMLCite \textit{Y. He} et al., J. Comput. Math. 33, No. 5, 468--494 (2015; Zbl 1349.65693) Full Text: DOI
McLachlan, Robert I.; Ryland, Brett N.; Sun, Yajuan High order multisymplectic Runge-Kutta methods. (English) Zbl 1310.37044 SIAM J. Sci. Comput. 36, No. 5, A2199-A2226 (2014). Reviewer: Vasile Marinca (Timişoara) MSC: 37M15 37K05 35L05 PDFBibTeX XMLCite \textit{R. I. McLachlan} et al., SIAM J. Sci. Comput. 36, No. 5, A2199--A2226 (2014; Zbl 1310.37044) Full Text: DOI Link
Brugnano, Luigi; Sun, Yajuan Multiple invariants conserving Runge-Kutta type methods for Hamiltonian problems. (English) Zbl 1291.65358 Numer. Algorithms 65, No. 3, 611-632 (2014). MSC: 65P10 37M15 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{L. Brugnano} and \textit{Y. Sun}, Numer. Algorithms 65, No. 3, 611--632 (2014; Zbl 1291.65358) Full Text: DOI arXiv
Celledoni, Elena; Owren, Brynjulf; Sun, Yajuan The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the averaged vector field method. (English) Zbl 1296.65182 Math. Comput. 83, No. 288, 1689-1700 (2014). Reviewer: Fernando Casas (Castellon) MSC: 65P10 65L05 65L06 37M15 PDFBibTeX XMLCite \textit{E. Celledoni} et al., Math. Comput. 83, No. 288, 1689--1700 (2014; Zbl 1296.65182) Full Text: DOI arXiv
Hong, Jialin; Sun, Yajuan Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations. (English) Zbl 1158.65085 Numer. Math. 110, No. 4, 491-519 (2008). Reviewer: Fernando Casas (Castellon) MSC: 65P10 65M06 70H20 37M15 37K05 65L06 35L60 PDFBibTeX XMLCite \textit{J. Hong} and \textit{Y. Sun}, Numer. Math. 110, No. 4, 491--519 (2008; Zbl 1158.65085) Full Text: DOI
Su, H. L.; Sun, Y. J.; Qin, M. Z.; Scherer, R. Structure preserving schemes for Birkhoffian systems. (English) Zbl 1141.65087 Int. J. Pure Appl. Math. 40, No. 3, 341-366 (2007). Reviewer: Manuel Calvo (Zaragoza) MSC: 65P10 37M15 PDFBibTeX XMLCite \textit{H. L. Su} et al., Int. J. Pure Appl. Math. 40, No. 3, 341--366 (2007; Zbl 1141.65087)
Sun, Yajuan Quadratic invariants and multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs. (English) Zbl 1125.65116 Numer. Math. 106, No. 4, 691-715 (2007). MSC: 65P10 37M15 37K05 PDFBibTeX XMLCite \textit{Y. Sun}, Numer. Math. 106, No. 4, 691--715 (2007; Zbl 1125.65116) Full Text: DOI
Li, Qinghong; Sun, Yajuan; Wang, Yushun On multisymplectic integrators based on Runge-Kutta-Nyström methods for Hamiltonian wave equations. (English) Zbl 1107.65114 Appl. Math. Comput. 182, No. 2, 1056-1063 (2006). MSC: 65P10 37M15 37K10 65L06 PDFBibTeX XMLCite \textit{Q. Li} et al., Appl. Math. Comput. 182, No. 2, 1056--1063 (2006; Zbl 1107.65114) Full Text: DOI
Sun, Yajuan; Qin, Mengzhao A multi-symplectic scheme for RLW equation. (English) Zbl 1059.65115 J. Comput. Math. 22, No. 4, 611-621 (2004). MSC: 65P10 37M15 37K10 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{M. Qin}, J. Comput. Math. 22, No. 4, 611--621 (2004; Zbl 1059.65115)
Sun, Yajuan; Qin, Mengzhao Variational integrators for higher order differential equations. (English) Zbl 1041.65105 J. Comput. Math. 21, No. 2, 135-144 (2003). Reviewer: Kevin Burrage (Brisbane) MSC: 65P10 37M15 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{M. Qin}, J. Comput. Math. 21, No. 2, 135--144 (2003; Zbl 1041.65105)
Sun, Ya-Juan; Qin, Meng-Zhao Variational description for the generating function method of first kind. (English) Zbl 1026.65126 Acta Math. Appl. Sin., Engl. Ser. 18, No. 4, 693-702 (2002). MSC: 65P10 37M15 35L70 65M60 PDFBibTeX XMLCite \textit{Y.-J. Sun} and \textit{M.-Z. Qin}, Acta Math. Appl. Sin., Engl. Ser. 18, No. 4, 693--702 (2002; Zbl 1026.65126) Full Text: DOI
Sun, Ya Juan; Qin, Meng Zhao Construction of multisymplectic schemes of any finite order for modified wave equations. (English) Zbl 0992.65145 J. Math. Phys. 41, No. 11, 7854-7868 (2000). Reviewer: Luis Vazquez (Madrid) MSC: 65P10 37M15 65M06 37K10 35L05 PDFBibTeX XMLCite \textit{Y. J. Sun} and \textit{M. Z. Qin}, J. Math. Phys. 41, No. 11, 7854--7868 (2000; Zbl 0992.65145) Full Text: DOI