## Zhao, Xiaofei

Compute Distance To:
 Author ID: zhao.xiaofei Published as: Zhao, Xiaofei Homepage: http://jszy.whu.edu.cn/zhaoxiaofei/en/index.htm External Links: MGP · Google Scholar · ResearchGate
 Documents Indexed: 39 Publications since 2013 Reviewing Activity: 5 Reviews Co-Authors: 19 Co-Authors with 29 Joint Publications 982 Co-Co-Authors
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### Co-Authors

 5 single-authored 6 Bao, Weizhu 6 Lemou, Mohammed 6 Méhats, Florian 5 Crouseilles, Nicolas 4 Chartier, Philippe 4 Wang, Tingchun 3 Dong, Xuanchun 3 Schratz, Katharina 3 Soffer, Avraham 2 Su, Chunmei 2 Wang, Yan 1 Antoine, Xavier 1 Cai, Yongyong 1 He, Ying 1 Jiang, Jiaping 1 Krämer, Patrick 1 Li, Ziyi 1 Mauser, Norbert Julius 1 Ning, Cui 1 Peng, Mao 1 Xu, Zhiguo 1 Zhang, Yong
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### Serials

 7 Journal of Computational Physics 3 SIAM Journal on Numerical Analysis 2 Mathematics of Computation 2 Journal of Computational and Applied Mathematics 2 Journal of Computational Mathematics 2 Journal of Scientific Computing 2 SIAM Journal on Scientific Computing 2 Multiscale Modeling & Simulation 2 Communications in Computational Physics 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 BIT 1 Calcolo 1 Numerische Mathematik 1 Physica D 1 Numerical Methods for Partial Differential Equations 1 Advances in Computational Mathematics 1 Journal of Mathematical Study 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications in Mathematical Sciences 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Physics A: Mathematical and Theoretical 1 Science China. Mathematics
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### Fields

 36 Numerical analysis (65-XX) 32 Partial differential equations (35-XX) 5 Fluid mechanics (76-XX) 5 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 3 Optics, electromagnetic theory (78-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Astronomy and astrophysics (85-XX)

### Citations contained in zbMATH Open

30 Publications have been cited 330 times in 155 Documents Cited by Year
A uniformly accurate multiscale time integrator pseudospectral method for the Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1310.65131
Bao, Weizhu; Cai, Yongyong; 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
Optimal $$l^\infty$$ error estimates of finite difference methods for the coupled Gross-Pitaevskii equations in high dimensions. Zbl 1320.65130
Wang, Tingchun; Zhao, Xiaofei
2014
On error estimates of an exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system. Zbl 1345.65056
Zhao, Xiaofei
2016
A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime, A UA method for Klein-Gordon-schrodinger equation. Zbl 1361.65080
Bao, Weizhu; Zhao, Xiaofei
2017
Uniformly accurate multiscale time integrators for highly oscillatory second order differential equations. Zbl 1313.65180
Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei
2014
A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime. Zbl 1373.82086
Bao, Weizhu; Zhao, Xiaofei
2016
Unconditional and optimal $$H^2$$-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions. Zbl 1448.65122
Wang, Tingchun; Zhao, Xiaofei; Jiang, Jiaping
2018
Uniformly accurate numerical schemes for the nonlinear Dirac equation in the nonrelativistic limit regime. Zbl 1457.35047
Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei
2017
On time-splitting pseudospectral discretization for nonlinear Klein-Gordon equation in nonrelativistic limit regime. Zbl 1388.65118
Dong, Xuanchun; Xu, Zhiguo; Zhao, Xiaofei
2014
Uniformly accurate particle-in-cell method for the long time solution of the two-dimensional Vlasov-Poisson equation with uniform strong magnetic field. Zbl 1380.65311
Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei
2017
An exponential wave integrator pseudo-spectral method for the symmetric regularized-long-wave equation. Zbl 1363.65179
Zhao, Xiaofei
2016
Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1453.65278
Bao, Weizhu; Zhao, Xiaofei
2019
Low-regularity integrators for nonlinear Dirac equations. Zbl 1450.35231
Schratz, Katharina; Wang, Yan; Zhao, Xiaofei
2021
Uniformly accurate forward semi-Lagrangian methods for highly oscillatory Vlasov-Poisson equations. Zbl 1365.65215
Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei
2017
Symmetric high order Gautschi-type exponential wave integrators pseudospectral method for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1397.65165
Wang, Yan; Zhao, Xiaofei
2018
Error estimates of some splitting schemes for charged-particle dynamics under strong magnetic field. Zbl 07383913
Wang, Bin; Zhao, Xiaofei
2021
A combination of multiscale time integrator and two-scale formulation for the nonlinear Schrödinger equation with wave operator. Zbl 1370.65050
Zhao, Xiaofei
2017
Numerical methods for the two-dimensional Vlasov-Poisson equation in the finite Larmor radius approximation regime. Zbl 1416.65388
Chartier, Philippe; Crouseilles, Nicolas; Zhao, Xiaofei
2018
Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field. Zbl 1416.65189
Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei
2019
Unconditional $$L^{\infty }$$-convergence of two compact conservative finite difference schemes for the nonlinear Schrödinger equation in multi-dimensions. Zbl 1404.65103
Wang, Tingchun; Zhao, Xiaofei
2018
Numerical methods and simulations for the dynamics of one-dimensional Zakharov-Rubenchik equations. Zbl 1306.65248
Zhao, Xiaofei; Li, Ziyi
2014
Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction. Zbl 1447.65105
Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei
2020
Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime. Zbl 1457.78006
Krämer, Patrick; Schratz, Katharina; Zhao, Xiaofei
2021
On multichannel solutions of nonlinear Schrödinger equations: algorithm, analysis and numerical explorations. Zbl 1315.35209
Soffer, Avy; Zhao, Xiaofei
2015
On comparison of asymptotic expansion techniques for nonlinear Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1471.35247
Schratz, Katharina; Zhao, Xiaofei
2020
On time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potential. Zbl 1451.65163
Su, Chunmei; Zhao, Xiaofei
2020
Uniformly accurate multiscale time integrators for second order oscillatory differential equations with large initial data. Zbl 1377.65087
Zhao, Xiaofei
2017
A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS. Zbl 1364.35341
Soffer, Avy; Zhao, Xiaofei
2016
On the rotating nonlinear Klein-Gordon equation: nonrelativistic limit and numerical methods. Zbl 1446.65074
Mauser, Norbert J.; Zhang, Yong; Zhao, Xiaofei
2020
Low-regularity integrators for nonlinear Dirac equations. Zbl 1450.35231
Schratz, Katharina; Wang, Yan; Zhao, Xiaofei
2021
Error estimates of some splitting schemes for charged-particle dynamics under strong magnetic field. Zbl 07383913
Wang, Bin; Zhao, Xiaofei
2021
Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime. Zbl 1457.78006
Krämer, Patrick; Schratz, Katharina; Zhao, Xiaofei
2021
Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction. Zbl 1447.65105
Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei
2020
On comparison of asymptotic expansion techniques for nonlinear Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1471.35247
Schratz, Katharina; Zhao, Xiaofei
2020
On time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potential. Zbl 1451.65163
Su, Chunmei; Zhao, Xiaofei
2020
On the rotating nonlinear Klein-Gordon equation: nonrelativistic limit and numerical methods. Zbl 1446.65074
Mauser, Norbert J.; Zhang, Yong; Zhao, Xiaofei
2020
Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1453.65278
Bao, Weizhu; Zhao, Xiaofei
2019
Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field. Zbl 1416.65189
Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei
2019
Unconditional and optimal $$H^2$$-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions. Zbl 1448.65122
Wang, Tingchun; Zhao, Xiaofei; Jiang, Jiaping
2018
Symmetric high order Gautschi-type exponential wave integrators pseudospectral method for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1397.65165
Wang, Yan; Zhao, Xiaofei
2018
Numerical methods for the two-dimensional Vlasov-Poisson equation in the finite Larmor radius approximation regime. Zbl 1416.65388
Chartier, Philippe; Crouseilles, Nicolas; Zhao, Xiaofei
2018
Unconditional $$L^{\infty }$$-convergence of two compact conservative finite difference schemes for the nonlinear Schrödinger equation in multi-dimensions. Zbl 1404.65103
Wang, Tingchun; Zhao, Xiaofei
2018
A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime, A UA method for Klein-Gordon-schrodinger equation. Zbl 1361.65080
Bao, Weizhu; Zhao, Xiaofei
2017
Uniformly accurate numerical schemes for the nonlinear Dirac equation in the nonrelativistic limit regime. Zbl 1457.35047
Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei
2017
Uniformly accurate particle-in-cell method for the long time solution of the two-dimensional Vlasov-Poisson equation with uniform strong magnetic field. Zbl 1380.65311
Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei
2017
Uniformly accurate forward semi-Lagrangian methods for highly oscillatory Vlasov-Poisson equations. Zbl 1365.65215
Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei
2017
A combination of multiscale time integrator and two-scale formulation for the nonlinear Schrödinger equation with wave operator. Zbl 1370.65050
Zhao, Xiaofei
2017
Uniformly accurate multiscale time integrators for second order oscillatory differential equations with large initial data. Zbl 1377.65087
Zhao, Xiaofei
2017
On error estimates of an exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system. Zbl 1345.65056
Zhao, Xiaofei
2016
A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime. Zbl 1373.82086
Bao, Weizhu; Zhao, Xiaofei
2016
An exponential wave integrator pseudo-spectral method for the symmetric regularized-long-wave equation. Zbl 1363.65179
Zhao, Xiaofei
2016
A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS. Zbl 1364.35341
Soffer, Avy; Zhao, Xiaofei
2016
On multichannel solutions of nonlinear Schrödinger equations: algorithm, analysis and numerical explorations. Zbl 1315.35209
Soffer, Avy; Zhao, Xiaofei
2015
A uniformly accurate multiscale time integrator pseudospectral method for the Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1310.65131
Bao, Weizhu; Cai, Yongyong; Zhao, Xiaofei
2014
Optimal $$l^\infty$$ error estimates of finite difference methods for the coupled Gross-Pitaevskii equations in high dimensions. Zbl 1320.65130
Wang, Tingchun; Zhao, Xiaofei
2014
Uniformly accurate multiscale time integrators for highly oscillatory second order differential equations. Zbl 1313.65180
Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei
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
Numerical methods and simulations for the dynamics of one-dimensional Zakharov-Rubenchik equations. Zbl 1306.65248
Zhao, Xiaofei; Li, Ziyi
2014
An exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system. Zbl 1294.65095
Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei
2013
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### Cited by 174 Authors

 19 Zhao, Xiaofei 17 Zhang, Luming 13 Wang, Tingchun 12 Bao, Weizhu 11 Schratz, Katharina 11 Su, Chunmei 9 Cai, Yongyong 7 Crouseilles, Nicolas 7 Ji, Bingquan 7 Lemou, Mohammed 6 Liao, Feng 5 Guo, Boling 5 Li, Jiyong 5 Méhats, Florian 5 Zhang, Zhiyue 4 Baumstark, Simon 4 Cai, Wenjun 4 Chartier, Philippe 4 Feng, Yue 4 Wang, Yan 4 Wang, Yushun 4 Xie, Jianqiang 4 Yin, Jia 3 Jia, Xiaowei 3 Mei, Liquan 3 Qian, Xu 3 Shi, Dongyang 3 Song, Songhe 3 Wang, Jialing 3 Yan, JingYe 3 Yi, Wenfan 3 Zhang, Gengen 3 Zhang, Hong 3 Zhou, Xuanxuan 2 Chen, Fangqi 2 Chen, Juan 2 Hu, Dongdong 2 Jiang, Jiaping 2 Jin, Shi 2 Krämer, Patrick 2 Liang, Dong 2 Liu, Changying 2 Ma, Xiu 2 Ma, Ying 2 Mauser, Norbert Julius 2 Shi, Qihong 2 Shi, Yanyan 2 Tang, Qinglin 2 Wang, Hanquan 2 Wang, Junjie 2 Wang, Lan 2 Wu, Xinyuan 2 Xu, Zhiguo 2 Xu, Zhuangzhi 2 Yang, He 1 Abbaszadeh, Mostafa 1 Ahmed, Ahmed El-Sayed 1 Almushaira, Mustafa 1 Antoine, Xavier 1 Bo, Yonghui 1 Bruned, Yvain 1 Byrnes, Tim 1 Calvo, María Cabrera 1 Cao, Liqun 1 Chen, Xiaowei 1 Chen, Yanping 1 Cheng, Yingda 1 Cheng, Yue 1 Choi, Woocheol 1 Cui, Xia 1 Dai, Hongbin 1 Dai, Weizhong 1 Dehghan Takht Fooladi, Mehdi 1 Deng, Shuo 1 Dong, Xuanchun 1 Faou, Erwan 1 Filbet, Francis 1 Fu, Jinxue 1 Gao, Jinghuai 1 Gao, Wen 1 Gao, Yali 1 Geng, Fazhan 1 Gu, Xuelong 1 Guo, Shimin 1 Guo, Wei 1 Guo, Yichen 1 Hairer, Ernst 1 Hendy, Ahmed S. 1 Hong, Qi 1 Hu, Hanzhang 1 Huang, Qiongao 1 Hui, Yuanxian 1 Jia, Junqing 1 Jia, Yaqian 1 Jiang, Chaolong 1 Jiang, Xiaoyun 1 Jiang, Yaolin 1 Jiang, Yong 1 Kairzhan, Adilbek 1 Khater, Mostafa M. A. ...and 74 more Authors
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### Cited in 48 Serials

 16 Applied Numerical Mathematics 10 Journal of Computational Physics 9 Applied Mathematics and Computation 9 SIAM Journal on Numerical Analysis 8 Journal of Scientific Computing 8 International Journal of Computer Mathematics 6 Computers & Mathematics with Applications 6 Mathematics of Computation 6 Journal of Computational and Applied Mathematics 5 Numerische Mathematik 5 Multiscale Modeling & Simulation 4 BIT 4 SIAM Journal on Scientific Computing 4 Advances in Computational Mathematics 3 Journal of Mathematical Analysis and Applications 3 Calcolo 3 Mathematics and Computers in Simulation 3 Applied Mathematics Letters 3 Discrete and Continuous Dynamical Systems. Series B 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Science China. Mathematics 2 Journal of Differential Equations 2 Numerical Methods for Partial Differential Equations 2 Numerical Algorithms 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Applied Mathematics and Computing 2 Advances in Applied Mathematics and Mechanics 1 Journal of Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Physica D 1 Asymptotic Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Mathematical Analysis 1 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Nonlinear Mathematical Physics 1 Communications on Pure and Applied Analysis 1 Frontiers of Mathematics in China 1 Communications in Computational Physics 1 Kinetic and Related Models 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Forum of Mathematics, Pi 1 East Asian Journal on Applied Mathematics 1 AIMS Mathematics 1 Communications on Applied Mathematics and Computation 1 Electronic Research Archive
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### Cited in 20 Fields

 141 Numerical analysis (65-XX) 119 Partial differential equations (35-XX) 34 Quantum theory (81-XX) 14 Fluid mechanics (76-XX) 11 Statistical mechanics, structure of matter (82-XX) 8 Optics, electromagnetic theory (78-XX) 7 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of deformable solids (74-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)