Gong, Yuezheng; Hong, Qi; Wang, Chunwu; Wang, Yushun Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation based on the quadratic auxiliary variable approach. (English) Zbl 1524.65650 Adv. Appl. Math. Mech. 15, No. 5, 1233-1255 (2023). MSC: 65M70 65M06 65L06 65P10 65N35 PDFBibTeX XMLCite \textit{Y. Gong} et al., Adv. Appl. Math. Mech. 15, No. 5, 1233--1255 (2023; Zbl 1524.65650) Full Text: DOI
Wang, Jialing; Zhou, Zhengting; Wang, Yushun Local structure-preserving algorithms for the Klein-Gordon-Zakharov equation. (English) Zbl 1515.65313 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 3, 1211-1238 (2023). MSC: 65P10 65M06 65M12 PDFBibTeX XMLCite \textit{J. Wang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 3, 1211--1238 (2023; Zbl 1515.65313) Full Text: DOI
Bo, Yonghui; Cai, Wenjun; Wang, Yushun Two novel classes of arbitrary high-order structure-preserving algorithms for canonical Hamiltonian systems. (English) Zbl 1515.65311 J. Comput. Math. 41, No. 3, 395-414 (2023). MSC: 65P10 65L05 70H15 70H20 PDFBibTeX XMLCite \textit{Y. Bo} et al., J. Comput. Math. 41, No. 3, 395--414 (2023; Zbl 1515.65311) Full Text: DOI arXiv
Bo, Yonghui; Wang, Yushun; Cai, Wenjun Arbitrary high-order linearly implicit energy-preserving algorithms for Hamiltonian PDEs. (English) Zbl 1496.65235 Numer. Algorithms 90, No. 4, 1519-1546 (2022). MSC: 65P10 35Q55 65L06 65M06 PDFBibTeX XMLCite \textit{Y. Bo} et al., Numer. Algorithms 90, No. 4, 1519--1546 (2022; Zbl 1496.65235) Full Text: DOI arXiv
Gu, Xuelong; Jiang, Chaolong; Wang, Yushun; Cai, Wenjun Efficient energy-preserving exponential integrators for multi-component Hamiltonian systems. (English) Zbl 1492.65349 J. Sci. Comput. 92, No. 1, Paper No. 26, 38 p. (2022). MSC: 65P10 65M20 65M70 65M06 PDFBibTeX XMLCite \textit{X. Gu} et al., J. Sci. Comput. 92, No. 1, Paper No. 26, 38 p. (2022; Zbl 1492.65349) Full Text: DOI arXiv
Bo, Yonghui; Cai, Jiaxiang; Cai, Wenjun; Wang, Yushun The exponential invariant energy quadratization approach for general multi-symplectic Hamiltonian PDEs. (English) Zbl 1480.65365 J. Comput. Appl. Math. 405, Article ID 113955, 17 p. (2022). MSC: 65P10 65M25 PDFBibTeX XMLCite \textit{Y. Bo} et al., J. Comput. Appl. Math. 405, Article ID 113955, 17 p. (2022; Zbl 1480.65365) Full Text: DOI
Hu, Dongdong; Cai, Wenjun; Wang, Yushun Two linearly implicit energy preserving exponential scalar auxiliary variable approaches for multi-dimensional fractional nonlinear Schrödinger equations. (English) Zbl 1524.65351 Appl. Math. Lett. 122, Article ID 107544, 7 p. (2021). MSC: 65M06 35Q55 65M12 35R11 65P10 65N35 65B05 26A33 PDFBibTeX XMLCite \textit{D. Hu} et al., Appl. Math. Lett. 122, Article ID 107544, 7 p. (2021; Zbl 1524.65351) Full Text: DOI
Bo, Yonghui; Cai, Wenjun; Wang, Yushun A note on the generating function method. (English) Zbl 1488.65726 Adv. Appl. Math. Mech. 13, No. 4, 982-1004 (2021). MSC: 65P10 65L05 70H15 70H20 PDFBibTeX XMLCite \textit{Y. Bo} et al., Adv. Appl. Math. Mech. 13, No. 4, 982--1004 (2021; Zbl 1488.65726) Full Text: DOI
Bo, Yonghui; Cai, Wenjun; Wang, Yushun A general symplectic scheme with three free parameters and its applications. (English) Zbl 1458.65156 Appl. Math. Lett. 112, Article ID 106792, 7 p. (2021). MSC: 65P10 37M15 70H05 PDFBibTeX XMLCite \textit{Y. Bo} et al., Appl. Math. Lett. 112, Article ID 106792, 7 p. (2021; Zbl 1458.65156) Full Text: DOI
Cui, Jin; Xu, Zhuangzhi; Wang, Yushun; Jiang, Chaolong Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation. (English) Zbl 1454.65058 Appl. Math. Lett. 112, Article ID 106770, 8 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65L06 65P10 35A22 35Q55 PDFBibTeX XMLCite \textit{J. Cui} et al., Appl. Math. Lett. 112, Article ID 106770, 8 p. (2021; Zbl 1454.65058) Full Text: DOI arXiv
Wang, Jialing; Wang, Yushun; Liang, Dong Construction of the local structure-preserving algorithms for the general multi-symplectic Hamiltonian system. (English) Zbl 1473.65353 Commun. Comput. Phys. 27, No. 3, 828-860 (2020). MSC: 65P10 65M06 PDFBibTeX XMLCite \textit{J. Wang} et al., Commun. Comput. Phys. 27, No. 3, 828--860 (2020; Zbl 1473.65353) Full Text: DOI
Wang, Jialing; Wang, Yushun An SDG Galerkin structure-preserving scheme for the Klein-Gordon-Schrödinger equation. (English) Zbl 1454.65121 Math. Methods Appl. Sci. 43, No. 9, 6011-6030 (2020). MSC: 65M60 65N30 65L05 65P10 65M12 35Q55 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Wang}, Math. Methods Appl. Sci. 43, No. 9, 6011--6030 (2020; Zbl 1454.65121) Full Text: DOI
Fu, Yayun; Cai, Wenjun; Wang, Yushun Structure-preserving algorithms for the two-dimensional fractional Klein-Gordon-Schrödinger equation. (English) Zbl 1442.65219 Appl. Numer. Math. 156, 77-93 (2020). MSC: 65M22 65P10 65N35 26A33 35R11 35Q55 PDFBibTeX XMLCite \textit{Y. Fu} et al., Appl. Numer. Math. 156, 77--93 (2020; Zbl 1442.65219) Full Text: DOI
Jiang, Chaolong; Wang, Yushun; Gong, Yuezheng Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation. (English) Zbl 1439.37079 Appl. Numer. Math. 151, 85-97 (2020). MSC: 37M15 37K10 35Q51 65N06 65P10 PDFBibTeX XMLCite \textit{C. Jiang} et al., Appl. Numer. Math. 151, 85--97 (2020; Zbl 1439.37079) Full Text: DOI arXiv
Cai, Wenjun; Jiang, Chaolong; Wang, Yushun; Song, Yongzhong Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions. (English) Zbl 1452.65393 J. Comput. Phys. 395, 166-185 (2019). MSC: 65P10 65M06 37K40 35C08 PDFBibTeX XMLCite \textit{W. Cai} et al., J. Comput. Phys. 395, 166--185 (2019; Zbl 1452.65393) Full Text: DOI arXiv
Zhang, Yuze; Wang, Yushun; Yang, Yanhong The structure-preserving methods for the Degasperis-Procesi equation. (English) Zbl 1449.65353 J. Comput. Math. 37, No. 4, 475-487 (2019). MSC: 65P10 65M70 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Comput. Math. 37, No. 4, 475--487 (2019; Zbl 1449.65353) Full Text: DOI Link
Mu, Zhenguo; Li, Haochen; Wang, Yushun; Cai, Wenjun A Galerkin splitting symplectic method for the two dimensional nonlinear Schrödinger equation. (English) Zbl 1488.65450 Adv. Appl. Math. Mech. 10, No. 5, 1069-1089 (2018). MSC: 65M60 65M06 65M20 65M70 65N30 65P10 65T50 35Q55 35Q41 PDFBibTeX XMLCite \textit{Z. Mu} et al., Adv. Appl. Math. Mech. 10, No. 5, 1069--1089 (2018; Zbl 1488.65450) Full Text: DOI
Yang, Yanhong; Song, Yongzhong; Li, Haochen; Wang, Yushun A new explicit symplectic Fourier pseudospectral method for Klein-Gordon-Schrödinger equation. (English) Zbl 1488.65524 Adv. Appl. Math. Mech. 10, No. 1, 242-260 (2018). MSC: 65M70 65M12 65M06 65P10 65N35 35Q55 35Q41 PDFBibTeX XMLCite \textit{Y. Yang} et al., Adv. Appl. Math. Mech. 10, No. 1, 242--260 (2018; Zbl 1488.65524) Full Text: DOI
Yang, Yanhong; Wang, Yushun; Song, Yongzhong A new local energy-preserving algorithm for the BBM equation. (English) Zbl 1427.65197 Appl. Math. Comput. 324, 119-130 (2018). MSC: 65M06 35Q53 65M12 65P10 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Math. Comput. 324, 119--130 (2018; Zbl 1427.65197) Full Text: DOI
Wang, Lan; Wang, Yushun High order compact multisymplectic scheme for coupled nonlinear Schrödinger-KdV equations. (English) Zbl 1424.65244 J. Comput. Math. 36, No. 4, 591-604 (2018). MSC: 65P10 35Q53 35Q55 65M06 70H15 PDFBibTeX XMLCite \textit{L. Wang} and \textit{Y. Wang}, J. Comput. Math. 36, No. 4, 591--604 (2018; Zbl 1424.65244) Full Text: DOI Link
Cai, Wenjun; Li, Haochen; Wang, Yushun Partitioned averaged vector field methods. (English) Zbl 1398.65331 J. Comput. Phys. 370, 25-42 (2018). MSC: 65P10 PDFBibTeX XMLCite \textit{W. Cai} et al., J. Comput. Phys. 370, 25--42 (2018; Zbl 1398.65331) Full Text: DOI arXiv
Hong, Qi; Wang, Yushun; Du, Qikui Two new energy-preserving algorithms for generalized fifth-order KdV equation. (English) Zbl 1488.65503 Adv. Appl. Math. Mech. 9, No. 5, 1206-1224 (2017). MSC: 65M70 65N35 65D32 65R10 37M15 35Q53 PDFBibTeX XMLCite \textit{Q. Hong} et al., Adv. Appl. Math. Mech. 9, No. 5, 1206--1224 (2017; Zbl 1488.65503) Full Text: DOI
Cai, Wenjun; Zhang, Huai; Wang, Yushun Modelling damped acoustic waves by a dissipation-preserving conformal symplectic method. (English) Zbl 1404.76189 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2199, Article ID 20160798, 25 p. (2017). MSC: 76M25 76Q05 65P10 PDFBibTeX XMLCite \textit{W. Cai} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2199, Article ID 20160798, 25 p. (2017; Zbl 1404.76189) Full Text: DOI
Cai, Wenjun; Zhang, Huai; Wang, Yushun Dissipation-preserving spectral element method for damped seismic wave equations. (English) Zbl 1380.86010 J. Comput. Phys. 350, 260-279 (2017). MSC: 86A15 65M70 65P10 PDFBibTeX XMLCite \textit{W. Cai} et al., J. Comput. Phys. 350, 260--279 (2017; Zbl 1380.86010) Full Text: DOI
Wang, Jialing; Wang, Yushun Local structure-preserving algorithms for the KdV equation. (English) Zbl 1413.65459 J. Comput. Math. 35, No. 3, 289-318 (2017). MSC: 65P10 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Wang}, J. Comput. Math. 35, No. 3, 289--318 (2017; Zbl 1413.65459) Full Text: DOI Link
Song, Yifu; Wang, Yushun Energy-preserving algorithms for the Benjamin equation. (English) Zbl 1377.65136 J. Sci. Comput. 72, No. 2, 605-622 (2017). MSC: 65M70 35Q53 65P10 65M60 65T60 37M15 PDFBibTeX XMLCite \textit{Y. Song} and \textit{Y. Wang}, J. Sci. Comput. 72, No. 2, 605--622 (2017; Zbl 1377.65136) Full Text: DOI
Cai, Wenjun; Zhang, Huai; Wang, Yushun Novel symplectic discrete singular convolution method for Hamiltonian PDEs. (English) Zbl 1388.65181 Commun. Comput. Phys. 19, No. 5, 1375-1396 (2016). MSC: 65P10 65M20 65M70 35Q55 37K05 PDFBibTeX XMLCite \textit{W. Cai} et al., Commun. Comput. Phys. 19, No. 5, 1375--1396 (2016; Zbl 1388.65181) Full Text: DOI
Cai, Wenjun; Sun, Yajuan; Wang, Yushun Geometric numerical integration for peakon \(b\)-family equations. (English) Zbl 1388.65116 Commun. Comput. Phys. 19, No. 1, 24-52 (2016). MSC: 65M70 65M06 65P10 74S20 74J40 35Q53 35Q74 35Q51 PDFBibTeX XMLCite \textit{W. Cai} et al., Commun. Comput. Phys. 19, No. 1, 24--52 (2016; Zbl 1388.65116) Full Text: DOI
Li, Haochen; Wang, Yushun; Lsec, Mengzhao Qin A sixth order averaged vector field method. (English) Zbl 1374.65206 J. Comput. Math. 34, No. 5, 479-498 (2016). MSC: 65P10 37M15 37J05 PDFBibTeX XMLCite \textit{H. Li} et al., J. Comput. Math. 34, No. 5, 479--498 (2016; Zbl 1374.65206) Full Text: DOI arXiv
Li, Haochen; Wang, Yushun; Sheng, Qin An energy-preserving Crank-Nicolson Galerkin method for Hamiltonian partial differential equations. (English) Zbl 1351.65098 Numer. Methods Partial Differ. Equations 32, No. 5, 1485-1504 (2016). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65P10 65M20 65M06 65M60 35Q55 65M15 37M15 PDFBibTeX XMLCite \textit{H. Li} et al., Numer. Methods Partial Differ. Equations 32, No. 5, 1485--1504 (2016; Zbl 1351.65098) Full Text: DOI
Ju, Wei; Wang, Yushun; Zhang, Yuze Two new multi-symplectic schemes for the nonlinear Schrödinger equation. (Chinese. English summary) Zbl 1349.65694 Numer. Math., Nanjing 37, No. 3, 203-226 (2015). MSC: 65P10 65M06 35Q55 37M15 37K10 PDFBibTeX XMLCite \textit{W. Ju} et al., Numer. Math., Nanjing 37, No. 3, 203--226 (2015; Zbl 1349.65694)
Gong, Yuezheng; Cai, Jiaxiang; Wang, Yushun Multi-symplectic Fourier pseudospectral method for the Kawahara equation. (English) Zbl 1388.65119 Commun. Comput. Phys. 16, No. 1, 35-55 (2014). MSC: 65M70 65P10 PDFBibTeX XMLCite \textit{Y. Gong} et al., Commun. Comput. Phys. 16, No. 1, 35--55 (2014; Zbl 1388.65119) Full Text: DOI Link
Cai, Wenjun; Wang, Yushun; Song, Yongzhong Derivation of the multisymplectic Crank-Nicolson scheme for the nonlinear Schrödinger equation. (English) Zbl 1360.35237 Comput. Phys. Commun. 185, No. 10, 2403-2411 (2014). MSC: 35Q55 65M60 65P10 35L65 PDFBibTeX XMLCite \textit{W. Cai} et al., Comput. Phys. Commun. 185, No. 10, 2403--2411 (2014; Zbl 1360.35237) Full Text: DOI
Gong, Yuezheng; Cai, Jiaxiang; Wang, Yushun Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs. (English) Zbl 1352.65647 J. Comput. Phys. 279, 80-102 (2014). MSC: 65P10 37M15 PDFBibTeX XMLCite \textit{Y. Gong} et al., J. Comput. Phys. 279, 80--102 (2014; Zbl 1352.65647) Full Text: DOI
Wang, Yushun; Hong, Jialin Multi-symplectic algorithms for Hamiltonian partial differential equations. (English) Zbl 1289.65278 Commun. Appl. Math. Comput. 27, No. 2, 163-230 (2013). MSC: 65P10 37M15 37K05 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{J. Hong}, Commun. Appl. Math. Comput. 27, No. 2, 163--230 (2013; Zbl 1289.65278) Full Text: DOI
Wang, Yushun; Jiang, Juan; Cai, Wenjun Numerical analysis of a multi-symplectic scheme for the time-domain Maxwell’s equations. (English) Zbl 1273.78006 J. Math. Phys. 52, No. 12, 123701, 16 p. (2011). MSC: 78A25 78M25 65P10 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Math. Phys. 52, No. 12, 123701, 16 p. (2011; Zbl 1273.78006) Full Text: DOI
Su, Hongling; Qin, Mengzhao; Wang, Yushun; Scherer, Rudolf Multi-symplectic Birkhoffian structure for PDEs with dissipation terms. (English) Zbl 1237.37055 Phys. Lett., A 374, No. 24, 2410-2416 (2010). MSC: 37M15 37K05 37K99 46L57 35A15 49M25 49S05 PDFBibTeX XMLCite \textit{H. Su} et al., Phys. Lett., A 374, No. 24, 2410--2416 (2010; Zbl 1237.37055) Full Text: DOI arXiv
Wang, Yushun; Li, Shengtai New schemes for the coupled nonlinear Schrödinger equation. (English) Zbl 1191.65170 Int. J. Comput. Math. 87, No. 4, 775-787 (2010). MSC: 65P10 37M15 37K10 35Q55 35Q51 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{S. Li}, Int. J. Comput. Math. 87, No. 4, 775--787 (2010; Zbl 1191.65170) Full Text: DOI
Wang, Yushun; Wang, Bin Applications of the multi-symplectic Euler-box scheme. (English) Zbl 1182.65193 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, 908-911 (2009). MSC: 65P10 37M15 37K10 35Q53 35Q55 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{B. Wang}, AIP Conf. Proc. 1168, 908--911 (2009; Zbl 1182.65193) Full Text: DOI
Wang, YuShun; Wang, Bin; Qin, MengZhao Local structure-preserving algorithms for partial differential equations. (English) Zbl 1179.65115 Sci. China, Ser. A 51, No. 11, 2115-2136 (2008). MSC: 65M06 35Q53 35Q61 65P10 37M15 PDFBibTeX XMLCite \textit{Y. Wang} et al., Sci. China, Ser. A 51, No. 11, 2115--2136 (2008; Zbl 1179.65115) Full Text: DOI
Cai, Jiaxiang; Wang, Yushun; Wang, Bin; Jiang, Bin New multisymplectic self-adjoint scheme and its composition scheme for the time-domain Maxwell’s equations. (English) Zbl 1112.78018 J. Math. Phys. 47, No. 12, 123508, 18 p. (2006). MSC: 78Mxx 37K05 37M15 PDFBibTeX XMLCite \textit{J. Cai} et al., J. Math. Phys. 47, No. 12, 123508, 18 p. (2006; Zbl 1112.78018) Full Text: DOI
Jiang, Bin; Wang, Yushun; Cai, Jiaxiang A new multisymplectic scheme for generalized Kadomtsev-Petviashvili equation. (English) Zbl 1112.37057 J. Math. Phys. 47, No. 8, 083503, 14 p. (2006). MSC: 37K10 35Q53 37M15 65M06 PDFBibTeX XMLCite \textit{B. Jiang} et al., J. Math. Phys. 47, No. 8, 083503, 14 p. (2006; Zbl 1112.37057) 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
Li, Qinghong; Song, Yongzhong; Wang, Yushun On multi-symplectic partitioned Runge-Kutta methods for Hamiltonian wave equations. (English) Zbl 1100.65116 Appl. Math. Comput. 177, No. 1, 36-43 (2006). Reviewer: Anna Maria Cherubini (Lecce) MSC: 65P10 37M15 65L06 37K10 PDFBibTeX XMLCite \textit{Q. Li} et al., Appl. Math. Comput. 177, No. 1, 36--43 (2006; Zbl 1100.65116) Full Text: DOI
Wang, Yushun; Wang, Bin; Wang, Yunfeng; Yang, Hongwei The variational discrete method for Hamiltonian equation. (English) Zbl 1093.65119 J. Nat. Sci., Nanjing Norm. Univ. 7, No. 2, 1-4 (2005). Reviewer: Fuhua Ling (Milpitas) MSC: 65P10 37M15 37J05 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Nat. Sci., Nanjing Norm. Univ. 7, No. 2, 1--4 (2005; Zbl 1093.65119)
Wang, Yushun; Wang, Bin High-order multi-symplectic schemes for the nonlinear Klein-Gordon equation. (English) Zbl 1073.65144 Appl. Math. Comput. 166, No. 3, 608-632 (2005). MSC: 65P10 37M15 37K10 35Q53 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{B. Wang}, Appl. Math. Comput. 166, No. 3, 608--632 (2005; Zbl 1073.65144) Full Text: DOI
Wang, Yushun; Wang, Bin; Qin, Mengzhao Concatenating construction of the multisymplectic schemes for \(2+1\)-dimensional sine-Gordon equation. (English) Zbl 1217.65234 Sci. China, Ser. A 47, No. 1, 18-30 (2004). MSC: 65P10 37M15 35Q55 PDFBibTeX XMLCite \textit{Y. Wang} et al., Sci. China, Ser. A 47, No. 1, 18--30 (2004; Zbl 1217.65234)
Wang, Yu Shun; Wang, Bin; Wang, Yun Feng; Yang, Hong Wei A discrete variational method for Hamiltonian systems. (Chinese) Zbl 1160.70301 J. Nanjing Norm. Univ., Nat. Sci. Ed. 27, No. 2, 1-4 (2004). MSC: 70-08 37M15 35F20 PDFBibTeX XMLCite \textit{Y. S. Wang} et al., J. Nanjing Norm. Univ., Nat. Sci. Ed. 27, No. 2, 1--4 (2004; Zbl 1160.70301)
Wang, Yushun; Wang, Bin; Qin, Mengzhao Numerical implementation of the multisymplectic Preissman scheme and its equivalent schemes. (English) Zbl 1047.65107 Appl. Math. Comput. 149, No. 2, 299-326 (2004). Reviewer: Kevin Burrage (Brisbane) MSC: 65P10 37M15 37K10 35Q53 35Q51 PDFBibTeX XMLCite \textit{Y. Wang} et al., Appl. Math. Comput. 149, No. 2, 299--326 (2004; Zbl 1047.65107) Full Text: DOI arXiv
Wang, Yushun; Wang, Bin; Ji, Zhongzhen; Qin, Mengzhao High order symplectic schemes for the sine-Gordon equation. (English) Zbl 1152.37347 J. Phys. Soc. Japan 72, No. 11, 2731-2736 (2003). MSC: 37M15 37K05 65P10 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Phys. Soc. Japan 72, No. 11, 2731--2736 (2003; Zbl 1152.37347) Full Text: DOI
Wang, Yu Shun; Qin, Meng Zhao Variation and high-order accuracy symplectic scheme for infinite dimensional system. (Chinese. English summary) Zbl 1495.37064 Math. Numer. Sin. 24, No. 4, 431-436 (2002). MSC: 37M15 37K40 65L05 65P10 PDFBibTeX XMLCite \textit{Y. S. Wang} and \textit{M. Z. Qin}, Math. Numer. Sin. 24, No. 4, 431--436 (2002; Zbl 1495.37064)
Wang, Yushun; Qin, Mengzhao Multisymplectic structure and multisymplectic scheme for the nonlinear wave equation. (English) Zbl 1004.65137 Acta Math. Appl. Sin., Engl. Ser. 18, No. 1, 169-176 (2002). Reviewer: Z.Dżygadło (Warszawa) MSC: 65P10 35L05 35L70 37J10 37M15 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{M. Qin}, Acta Math. Appl. Sin., Engl. Ser. 18, No. 1, 169--176 (2002; Zbl 1004.65137) Full Text: DOI
Wang, Yushun; Qin, Mengzhao Multisymplectic geometry and multisymplectic scheme for the nonlinear Klein-Gordon equation. (English) Zbl 1113.37308 J. Phys. Soc. Japan 70, No. 3, 653-661 (2001). MSC: 37K05 37K40 37M15 35L70 35Q53 35Q51 70S05 65P10 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{M. Qin}, J. Phys. Soc. Japan 70, No. 3, 653--661 (2001; Zbl 1113.37308) Full Text: DOI
Wang, Yushun; Wang, Wei Symplectic schemes for vortex system in half-plane. (English) Zbl 1029.76044 Numer. Math., J. Chin. Univ. 9, No. 2, 141-151 (2000). MSC: 76M25 76B47 65P10 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{W. Wang}, Numer. Math., J. Chin. Univ. 9, No. 2, 141--151 (2000; Zbl 1029.76044)