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Dong, Xuanchun

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Author ID: dong.xuanchun Recent zbMATH articles by "Dong, Xuanchun"
Published as: Dong, X. C.; Dong, Xuanchun
External Links: MGP
Documents Indexed: 14 Publications since 2010

Publications by Year

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
60
2012
An exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system. Zbl 1294.65095
Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei
23
2013
Uniformly accurate multiscale time integrators for highly oscillatory second order differential equations. Zbl 1313.65180
Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei
16
2014
Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars. Zbl 1220.83023
Bao, Weizhu; Dong, Xuanchun
16
2011
Stability and convergence of trigonometric integrator pseudospectral discretization for N-coupled nonlinear Klein-Gordon equations. Zbl 1410.65392
Dong, Xuanchun
9
2014
On the computation of ground state and dynamics of Schrödinger-Poisson-Slater system. Zbl 1218.65115
Zhang, Yong; Dong, Xuanchun
9
2011
On time-splitting pseudospectral discretization for nonlinear Klein-Gordon equation in nonrelativistic limit regime. Zbl 1388.65118
Dong, Xuanchun; Xu, Zhiguo; Zhao, Xiaofei
8
2014
Singular limits of Klein-Gordon-Schrödinger equations to Schrödinger-Yukawa equations. Zbl 1210.35223
Bao, Weizhu; Dong, Xuanchun; Wang, Shu
7
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
7
2010
A trigonometric integrator pseudospectral discretization for the \(N\)-coupled nonlinear Klein-Gordon equations. Zbl 1260.65095
Dong, Xuanchun
5
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
4
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
2
2011
On the novel chaotic secure communication scheme design. Zbl 07249754
Wang, B.; Zhong, S. M.; Dong, X. C.
1
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
4
2016
On the novel chaotic secure communication scheme design. Zbl 07249754
Wang, B.; Zhong, S. M.; Dong, X. C.
1
2016
Uniformly accurate multiscale time integrators for highly oscillatory second order differential equations. Zbl 1313.65180
Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei
16
2014
Stability and convergence of trigonometric integrator pseudospectral discretization for N-coupled nonlinear Klein-Gordon equations. Zbl 1410.65392
Dong, Xuanchun
9
2014
On time-splitting pseudospectral discretization for nonlinear Klein-Gordon equation in nonrelativistic limit regime. Zbl 1388.65118
Dong, Xuanchun; Xu, Zhiguo; Zhao, Xiaofei
8
2014
An exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system. Zbl 1294.65095
Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei
23
2013
A trigonometric integrator pseudospectral discretization for the \(N\)-coupled nonlinear Klein-Gordon equations. Zbl 1260.65095
Dong, Xuanchun
5
2013
Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1248.65087
Bao, Weizhu; Dong, Xuanchun
60
2012
Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars. Zbl 1220.83023
Bao, Weizhu; Dong, Xuanchun
16
2011
On the computation of ground state and dynamics of Schrödinger-Poisson-Slater system. Zbl 1218.65115
Zhang, Yong; Dong, Xuanchun
9
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
2
2011
Singular limits of Klein-Gordon-Schrödinger equations to Schrödinger-Yukawa equations. Zbl 1210.35223
Bao, Weizhu; Dong, Xuanchun; Wang, Shu
7
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
7
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
all top 5

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

Citations by Year