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## Dong, Xuanchun

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 Author ID: dong.xuanchun Published as: Dong, X. C.; Dong, Xuanchun External Links: MGP
 Documents Indexed: 14 Publications since 2010
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#### Co-Authors

 4 single-authored 6 Bao, Weizhu 3 Zhao, Xiaofei 2 Xu, Zhiguo 1 Wang, Shu 1 Xin, Jack X. 1 Yuan, Yongjun 1 Zhang, Yong
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#### Serials

 3 Journal of Computational Physics 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Physica D 1 Numerical Algorithms 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Study 1 Communications in Nonlinear Science and Numerical Simulation 1 Multiscale Modeling & Simulation 1 Communications in Computational Physics
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#### Fields

 12 Numerical analysis (65-XX) 11 Partial differential equations (35-XX) 2 Quantum theory (81-XX) 1 Ordinary differential equations (34-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

13 Publications have been cited 167 times in 107 Documents Cited by Year
Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1248.65087
Bao, Weizhu; Dong, Xuanchun
2012
An exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system. Zbl 1294.65095
Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei
2013
Uniformly accurate multiscale time integrators for highly oscillatory second order differential equations. Zbl 1313.65180
Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei
2014
Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars. Zbl 1220.83023
Bao, Weizhu; Dong, Xuanchun
2011
Stability and convergence of trigonometric integrator pseudospectral discretization for N-coupled nonlinear Klein-Gordon equations. Zbl 1410.65392
Dong, Xuanchun
2014
On the computation of ground state and dynamics of Schrödinger-Poisson-Slater system. Zbl 1218.65115
Zhang, Yong; Dong, Xuanchun
2011
On time-splitting pseudospectral discretization for nonlinear Klein-Gordon equation in nonrelativistic limit regime. Zbl 1388.65118
Dong, Xuanchun; Xu, Zhiguo; Zhao, Xiaofei
2014
Singular limits of Klein-Gordon-Schrödinger equations to Schrödinger-Yukawa equations. Zbl 1210.35223
Bao, Weizhu; Dong, Xuanchun; Wang, Shu
2010
Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse. Zbl 1190.35205
Bao, Weizhu; Dong, Xuanchun; Xin, Jack
2010
A trigonometric integrator pseudospectral discretization for the $$N$$-coupled nonlinear Klein-Gordon equations. Zbl 1260.65095
Dong, Xuanchun
2013
Error estimates in the energy space for a Gautschi-type integrator spectral discretization for the coupled nonlinear Klein-Gordon equations. Zbl 1329.65240
Xu, Zhiguo; Dong, Xuanchun; Yuan, Yongjun
2016
A short note on simplified pseudospectral methods for computing ground state and dynamics of spherically symmetric Schrödinger-Poisson-Slater system. Zbl 1231.65174
Dong, Xuanchun
2011
On the novel chaotic secure communication scheme design. Zbl 07249754
Wang, B.; Zhong, S. M.; Dong, X. C.
2016
Error estimates in the energy space for a Gautschi-type integrator spectral discretization for the coupled nonlinear Klein-Gordon equations. Zbl 1329.65240
Xu, Zhiguo; Dong, Xuanchun; Yuan, Yongjun
2016
On the novel chaotic secure communication scheme design. Zbl 07249754
Wang, B.; Zhong, S. M.; Dong, X. C.
2016
Uniformly accurate multiscale time integrators for highly oscillatory second order differential equations. Zbl 1313.65180
Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei
2014
Stability and convergence of trigonometric integrator pseudospectral discretization for N-coupled nonlinear Klein-Gordon equations. Zbl 1410.65392
Dong, Xuanchun
2014
On time-splitting pseudospectral discretization for nonlinear Klein-Gordon equation in nonrelativistic limit regime. Zbl 1388.65118
Dong, Xuanchun; Xu, Zhiguo; Zhao, Xiaofei
2014
An exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system. Zbl 1294.65095
Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei
2013
A trigonometric integrator pseudospectral discretization for the $$N$$-coupled nonlinear Klein-Gordon equations. Zbl 1260.65095
Dong, Xuanchun
2013
Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1248.65087
Bao, Weizhu; Dong, Xuanchun
2012
Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars. Zbl 1220.83023
Bao, Weizhu; Dong, Xuanchun
2011
On the computation of ground state and dynamics of Schrödinger-Poisson-Slater system. Zbl 1218.65115
Zhang, Yong; Dong, Xuanchun
2011
A short note on simplified pseudospectral methods for computing ground state and dynamics of spherically symmetric Schrödinger-Poisson-Slater system. Zbl 1231.65174
Dong, Xuanchun
2011
Singular limits of Klein-Gordon-Schrödinger equations to Schrödinger-Yukawa equations. Zbl 1210.35223
Bao, Weizhu; Dong, Xuanchun; Wang, Shu
2010
Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse. Zbl 1190.35205
Bao, Weizhu; Dong, Xuanchun; Xin, Jack
2010
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#### Cited by 134 Authors

 12 Bao, Weizhu 11 Zhao, Xiaofei 9 Zhang, Luming 8 Schratz, Katharina 7 Su, Chunmei 6 Dong, Xuanchun 6 Wang, Tingchun 6 Wu, Xinyuan 5 Zhang, Yong 5 Zhu, Shihui 4 Baumstark, Simon 4 Cai, Yongyong 4 Huang, Chengming 4 Ji, Bingquan 4 Lemou, Mohammed 4 Méhats, Florian 4 Tang, Qinglin 4 Wang, Pengde 3 Chartier, Philippe 3 Crouseilles, Nicolas 3 Gauckler, Ludwig J. 3 Jia, Xiaowei 3 Liu, Changying 3 Mauser, Norbert Julius 3 Wang, Bin 2 Faou, Erwan 2 Jiang, Jiaping 2 Liang, Dong 2 Liebling, Steven L. 2 Lu, Yong 2 Ma, Ying 2 Mei, Liquan 2 Palenzuela, Carlos 2 Pasquali, Sara 2 Qian, Xu 2 Song, Songhe 2 Vong, Seakweng 2 Wang, Zhibo 2 Xie, Jianqiang 2 Yan, JingYe 2 Yin, Jia 2 Zhang, Jian 2 Zhang, Zhiyue 1 Abbaszadeh, Mostafa 1 Antoine, Xavier 1 Bu, Linlin 1 Cai, Wentao 1 Calvo, M. P. 1 Cohen, David Bruce 1 Condon, Marissa 1 Dehghan Takht Fooladi, Mehdi 1 Deng, Dingwen 1 Deng, Zhonghua 1 Dong, Suchuan 1 Escalante-González, R. J. 1 Exl, Lukas 1 Feng, Binhua 1 Gao, Yali 1 Guo, Ben-Yu 1 Guo, Boling 1 Guo, Li 1 Guo, Qing 1 He, Dongdong 1 He, Mingyan 1 Iserles, Arieh 1 Jiang, Shidong 1 Jiang, Yaolin 1 Jiang, Yong 1 Jin, Shi 1 Jones, Tiffany N. 1 Krämer, Patrick 1 Kropielnicka, Karolina 1 Kuznetsov, Nikolay Vladimirovich 1 Lademann, Karolina 1 Lakoba, Taras I. 1 Li, Fucai 1 Li, Qi 1 Li, Rui 1 Li, Wenlei 1 Li, Xin 1 Li, Xin 1 Liang, Zhenguo 1 Liao, Feng 1 Lin, Chikun 1 Liu, RongHua 1 Lu, Jianfeng 1 Lv, Yan 1 Marzuola, Jeremy L. 1 Mei, Lijie 1 Mohamad, Haidar 1 Oliver, Marcel 1 Pan, Kejia 1 Perczyński, Rafał 1 Rousset, Frédéric 1 Ruan, Xinran 1 Sanz-Serna, Jesús María 1 Schneider, Guido 1 Schweitzer, Julia 1 Sheng, Qin 1 Shi, Qihong ...and 34 more Authors
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#### Cited in 39 Serials

 11 Journal of Computational Physics 10 Applied Numerical Mathematics 7 Journal of Computational and Applied Mathematics 6 Numerical Algorithms 5 Computers & Mathematics with Applications 5 Numerische Mathematik 5 Journal of Scientific Computing 4 Applied Mathematics and Computation 4 SIAM Journal on Numerical Analysis 4 Advances in Computational Mathematics 3 Journal of Mathematical Analysis and Applications 3 Mathematics of Computation 3 Journal of Differential Equations 2 BIT 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematics Letters 2 Discrete and Continuous Dynamical Systems 2 Living Reviews in Relativity 2 Discrete and Continuous Dynamical Systems. Series B 2 Multiscale Modeling & Simulation 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Science China. Mathematics 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Asymptotic Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Engineering Analysis with Boundary Elements 1 Chaos 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Evolution Equations 1 Foundations of Computational Mathematics 1 Journal of Applied Mathematics and Computing 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 East Asian Journal on Applied Mathematics
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#### Cited in 17 Fields

 87 Numerical analysis (65-XX) 79 Partial differential equations (35-XX) 18 Quantum theory (81-XX) 9 Ordinary differential equations (34-XX) 6 Optics, electromagnetic theory (78-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Fluid mechanics (76-XX) 5 Astronomy and astrophysics (85-XX) 4 Mechanics of deformable solids (74-XX) 3 Relativity and gravitational theory (83-XX) 2 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX)