## Wang, Yushun

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 Author ID: wang.yushun Published as: Wang, Yushun; Wang, Yu Shun; Wang, Y.; Wang, Yu-Shun; Wang, YuShun more...less Homepage: http://schools.njnu.edu.cn/math/person/yushun-wang External Links: ORCID · Google Scholar · dblp
 Documents Indexed: 110 Publications since 2000 1 Contribution as Editor Co-Authors: 56 Co-Authors with 106 Joint Publications 1,156 Co-Co-Authors
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### Co-Authors

 0 single-authored 36 Cai, Wenjun 14 Gong, Yuezheng 13 Cai, Jiaxiang 13 Jiang, Chaolong 12 Song, Yongzhong 10 Wang, Bin 9 Li, Haochen 9 Qin, Mengzhao 8 Hu, Dongdong 7 Fu, Yayun 7 Wang, Jialing 5 Bo, Yonghui 5 Xu, Zhuangzhi 4 Cui, Jin 4 Mu, Zhenguo 4 Sun, Yajuan 4 Zhang, Huai 3 Ezz-Eldien, Samer S. 3 Gao, Jiaquan 3 Hong, Jialin 3 Liang, Dong 3 Wang, Qi 3 Wang, Yunfeng 3 Yang, Hongwei 3 Yang, Yanhong 2 Aldraiweesh, A. A. 2 He, Guixia 2 Hong, Qi 2 Jiang, Bin 2 Li, Qinghong 2 Lu, Lin 2 Lv, Zhongquan 2 Sheng, Qin 2 Zhang, Yuze 1 Carpentier, Alexandra 1 Chen, Charlie Chung-Ping 1 Collier, Olivier 1 Comminges, Laetitia 1 Doha, Eid H. 1 Du, Qikui 1 Gu, Xuelong 1 Hsieh, Min-Han 1 Hu, Yingying 1 Ji, Zhongzhen 1 Jiang, Juan 1 Ju, Wei 1 Kong, Linghua 1 Li, James Chien-Mo 1 Li, Shengtai 1 Liang, Hua 1 Lsec, Mengzhao Qin 1 Machado, José António Tenreiro 1 Qi, Panpan 1 Qiao, Zhonghua 1 Scherer, Rudolf 1 Song, Yifu 1 Su, Hongling 1 Tang, Yifa 1 Tsybakov, Alexandre B. 1 Wade, Bruce A. 1 Wang, Huiping 1 Wang, Lan 1 Wu, Kesong 1 Xue, Mei 1 Zeng, Zhankuan 1 Zhao, Duanyang 1 Zhu, Pengfei
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### Serials

 10 Journal of Computational Physics 9 Applied Mathematics and Computation 8 International Journal of Computer Mathematics 6 Applied Numerical Mathematics 6 Journal of Scientific Computing 6 Communications in Computational Physics 5 Journal of Computational and Applied Mathematics 5 Advances in Applied Mathematics and Mechanics 4 Journal of Mathematical Physics 4 Mathematics and Computers in Simulation 4 Applied Mathematics Letters 3 Journal of Computational Mathematics 3 Numerical Methods for Partial Differential Equations 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of the Physical Society of Japan 2 Mathematica Numerica Sinica 2 Science in China. Series A 2 Mathematical Problems in Engineering 2 Discrete and Continuous Dynamical Systems. Series B 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 SIAM Journal on Numerical Analysis 1 Numerical Mathematics 1 Mathematics in Practice and Theory 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 Numerical Algorithms 1 Automation and Remote Control 1 Numerical Mathematics 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Journal of Nanjing Normal University. Natural Science Edition 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Journal of Natural Science. Nanjing Normal University 1 Communication on Applied Mathematics and Computation 1 East Asian Journal on Applied Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 IEEE Transactions on Circuits and Systems I: Regular Papers
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### Fields

 102 Numerical analysis (65-XX) 62 Partial differential equations (35-XX) 32 Dynamical systems and ergodic theory (37-XX) 8 Optics, electromagnetic theory (78-XX) 6 Mechanics of particles and systems (70-XX) 5 Fluid mechanics (76-XX) 4 Real functions (26-XX) 2 Special functions (33-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

80 Publications have been cited 591 times in 288 Documents Cited by Year
A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation. Zbl 1406.35356
Gong, Yuezheng; Wang, Qi; Wang, Yushun; Cai, Jiaxiang
2017
Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs. Zbl 1352.65647
Gong, Yuezheng; Cai, Jiaxiang; Wang, Yushun
2014
Local energy-preserving and momentum-preserving algorithms for coupled nonlinear Schrödinger system. Zbl 1284.35393
Cai, Jiaxiang; Wang, Yushun; Liang, Hua
2013
A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach. Zbl 1428.65028
Jiang, Chaolong; Cai, Wenjun; Wang, Yushun
2019
Partitioned averaged vector field methods. Zbl 1398.65331
Cai, Wenjun; Li, Haochen; Wang, Yushun
2018
Local structure-preserving algorithms for partial differential equations. Zbl 1179.65115
Wang, YuShun; Wang, Bin; Qin, MengZhao
2008
Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions. Zbl 1452.65393
Cai, Wenjun; Jiang, Chaolong; Wang, Yushun; Song, Yongzhong
2019
Multi-symplectic Fourier pseudospectral method for the Kawahara equation. Zbl 1388.65119
Gong, Yuezheng; Cai, Jiaxiang; Wang, Yushun
2014
Local structure-preserving algorithms for the “good” Boussinesq equation. Zbl 1284.65099
Cai, Jiaxiang; Wang, Yushun
2013
High-order multi-symplectic schemes for the nonlinear Klein-Gordon equation. Zbl 1073.65144
Wang, Yushun; Wang, Bin
2005
New schemes for the coupled nonlinear Schrödinger equation. Zbl 1191.65170
Wang, Yushun; Li, Shengtai
2010
A sixth order averaged vector field method. Zbl 1374.65206
Li, Haochen; Wang, Yushun; Lsec, Mengzhao Qin
2016
Optimal error estimate of a linear Fourier pseudo-spectral scheme for two dimensional Klein-Gordon-Schrödinger equations. Zbl 1407.65213
Hong, Qi; Wang, Yushun; Wang, Jialing
2018
Two energy-conserved splitting methods for three-dimensional time-domain Maxwell’s equations and the convergence analysis. Zbl 1327.65171
Cai, Jiaxiang; Hong, Jialin; Wang, Yushun; Gong, Yuezheng
2015
Numerical implementation of the multisymplectic Preissman scheme and its equivalent schemes. Zbl 1047.65107
Wang, Yushun; Wang, Bin; Qin, Mengzhao
2004
Multisymplectic geometry and multisymplectic scheme for the nonlinear Klein-Gordon equation. Zbl 1113.37308
Wang, Yushun; Qin, Mengzhao
2001
New multisymplectic self-adjoint scheme and its composition scheme for the time-domain Maxwell’s equations. Zbl 1112.78018
Cai, Jiaxiang; Wang, Yushun; Wang, Bin; Jiang, Bin
2006
Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation. Zbl 1439.37079
Jiang, Chaolong; Wang, Yushun; Gong, Yuezheng
2020
Multi-symplectic Birkhoffian structure for PDEs with dissipation terms. Zbl 1237.37055
Su, Hongling; Qin, Mengzhao; Wang, Yushun; Scherer, Rudolf
2010
An energy-preserving wavelet collocation method for general multi-symplectic formulations of Hamiltonian PDEs. Zbl 1388.65120
Gong, Yuezheng; Wang, Yushun
2016
Numerical analysis of AVF methods for three-dimensional time-domain Maxwell’s equations. Zbl 1347.78009
Cai, Jiaxiang; Wang, Yushun; Gong, Yuezheng
2016
Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation. Zbl 1454.65058
Cui, Jin; Xu, Zhuangzhi; Wang, Yushun; Jiang, Chaolong
2021
A linearly implicit structure-preserving scheme for the Camassa-Holm equation based on multiple scalar auxiliary variables approach. Zbl 1436.65104
Jiang, Chaolong; Gong, Yuezheng; Cai, Wenjun; Wang, Yushun
2020
An explicit structure-preserving algorithm for the nonlinear fractional Hamiltonian wave equation. Zbl 1440.65087
Fu, Yayun; Cai, Wenjun; Wang, Yushun
2020
Geometric numerical integration for peakon $$b$$-family equations. Zbl 1388.65116
Cai, Wenjun; Sun, Yajuan; Wang, Yushun
2016
Multi-symplectic algorithms for Hamiltonian partial differential equations. Zbl 1289.65278
Wang, Yushun; Hong, Jialin
2013
Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations. Zbl 1456.65090
Jiang, Chaolong; Wang, Yushun; Gong, Yuezheng
2021
An energy-preserving Crank-Nicolson Galerkin spectral element method for the two dimensional nonlinear Schrödinger equation. Zbl 1457.65145
Li, Haochen; Mu, Zhenguo; Wang, Yushun
2018
Numerical dispersion analysis of a multi-symplectic scheme for the three dimensional Maxwell’s equations. Zbl 1284.35419
Cai, Wenjun; Wang, Yushun; Song, Yongzhong
2013
A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations. Zbl 1448.65105
Hu, Dongdong; Cai, Wenjun; Song, Yongzhong; Wang, Yushun
2020
A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation. Zbl 07507246
Jiang, Chaolong; Wang, Yushun; Cai, Wenjun
2020
A new algorithm for the solution of nonlinear two-dimensional Volterra integro-differential equations of high-order. Zbl 07143620
Wang, Y.; Ezz-Eldien, S. S.; Aldraiweesh, A. A.
2020
Optimal error estimate of a conformal Fourier pseudo-spectral method for the damped nonlinear Schrödinger equation. Zbl 1407.65215
Jiang, Chaolong; Cai, Wenjun; Wang, Yushun
2018
A new local energy-preserving algorithm for the BBM equation. Zbl 1427.65197
Yang, Yanhong; Wang, Yushun; Song, Yongzhong
2018
Multisymplectic Preissman scheme for the time-domain Maxwell’s equations. Zbl 1202.78031
Cai, Jiaxiang; Wang, Yushun; Qiao, Zhonghua
2009
On multi-symplectic partitioned Runge-Kutta methods for Hamiltonian wave equations. Zbl 1100.65116
Li, Qinghong; Song, Yongzhong; Wang, Yushun
2006
Structure-preserving algorithms for the two-dimensional fractional Klein-Gordon-Schrödinger equation. Zbl 1442.65219
Fu, Yayun; Cai, Wenjun; Wang, Yushun
2020
Variational discretizations for the generalized Rosenau-type equations. Zbl 1410.65302
Cai, Wenjun; Sun, Yajuan; Wang, Yushun
2015
Efficient local energy dissipation preserving algorithms for the Cahn-Hilliard equation. Zbl 1416.65276
Mu, Zhenguo; Gong, Yuezheng; Cai, Wenjun; Wang, Yushun
2018
Local structure-preserving algorithms for the KdV equation. Zbl 1413.65459
Wang, Jialing; Wang, Yushun
2017
High order symplectic schemes for the sine-Gordon equation. Zbl 1152.37347
Wang, Yushun; Wang, Bin; Ji, Zhongzhen; Qin, Mengzhao
2003
Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian. Zbl 1471.65102
Hu, Dongdong; Cai, Wenjun; Fu, Yayun; Wang, Yushun
2021
A numerical treatment of the two-dimensional multi-term time-fractional mixed sub-diffusion and diffusion-wave equation. Zbl 1458.65131
Ezz-Eldien, S. S.; Doha, E. H.; Wang, Y.; Cai, W.
2020
Modelling damped acoustic waves by a dissipation-preserving conformal symplectic method. Zbl 1404.76189
Cai, Wenjun; Zhang, Huai; Wang, Yushun
2017
A discrete line integral method of order two for the Lorentz force system. Zbl 1410.81025
Li, Haochen; Wang, Yushun
2016
Dissipation-preserving spectral element method for damped seismic wave equations. Zbl 1380.86010
Cai, Wenjun; Zhang, Huai; Wang, Yushun
2017
An averaged vector field Legendre spectral element method for the nonlinear Schrödinger equation. Zbl 1408.65073
Li, Haochen; Wang, Yushun
2017
Local energy- and momentum-preserving schemes for Klein-Gordon-Schrödinger equations and convergence analysis. Zbl 1377.65101
Cai, Jiaxiang; Hong, Jialin; Wang, Yushun
2017
High-order structure-preserving algorithms for the multi-dimensional fractional nonlinear Schrödinger equation based on the SAV approach. Zbl 07331056
Fu, Yayun; Hu, Dongdong; Wang, Yushun
2021
An efficient energy-preserving method for the two-dimensional fractional Schrödinger equation. Zbl 1475.65068
Fu, Yayun; Xu, Zhuangzhi; Cai, Wenjun; Wang, Yushun
2021
Multisymplectic schemes for the nonlinear Klein-Gordon equation. Zbl 1045.35083
Wang, Yu Shun; Qin, Meng Zhao
2002
Minimax rate of testing in sparse linear regression. Zbl 1456.62083
Carpentier, A.; Collier, O.; Comminges, L.; Tsybakov, A. B.; Wang, Yu.
2019
An energy-preserving Crank-Nicolson Galerkin method for Hamiltonian partial differential equations. Zbl 1351.65098
Li, Haochen; Wang, Yushun; Sheng, Qin
2016
Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs. Zbl 1390.65104
Cai, Wenjun; Sun, Yajuan; Wang, Yushun; Zhang, Huai
2018
A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach. Zbl 1467.65082
Fu, Yayun; Cai, Wenjun; Wang, Yushun
2021
Maximum-norm error analysis of a conservative scheme for the damped nonlinear fractional Schrödinger equation. Zbl 07316767
Fu, Yayun; Song, Yongzhong; Wang, Yushun
2019
Analysis of a conservative high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equation. Zbl 1419.65034
Wang, Jialing; Liang, Dong; Wang, Yushun
2019
A new explicit multi-symplectic scheme for RLW equation. Zbl 1212.65319
Hu, Yingying; Wang, Yushun; Wang, Huiping
2009
Construction of the local structure-preserving algorithms for the general multi-symplectic Hamiltonian system. Zbl 1473.65353
Wang, Jialing; Wang, Yushun; Liang, Dong
2020
Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine-Gordon equation with damping. Zbl 07428987
Hu, Dongdong; Cai, Wenjun; Xu, Zhuangzhi; Bo, Yonghui; Wang, Yushun
2021
Numerical analysis of a multi-symplectic scheme for the time-domain Maxwell’s equations. Zbl 1273.78006
Wang, Yushun; Jiang, Juan; Cai, Wenjun
2011
Analysis of a Fourier pseudo-spectral conservative scheme for the Klein-Gordon-Schrödinger equation. Zbl 1390.65082
Wang, Jialing; Wang, Yushun; Liang, Dong
2018
A novel energy-preserving scheme for the coupled nonlinear Schrödinger equations. Zbl 1387.65090
Mu, Zhenguo; Li, Haochen; Wang, Yushun
2018
Numerical analysis of a new conservative scheme for the coupled nonlinear Schrödinger equations. Zbl 07472011
Wang, Jialing; Wang, Yushun
2018
A general symplectic scheme with three free parameters and its applications. Zbl 1458.65156
Bo, Yonghui; Cai, Wenjun; Wang, Yushun
2021
Convergence of time-splitting energy-conserved symplectic schemes for 3D Maxwell’s equations. Zbl 1410.78032
Cai, Jiaxiang; Wang, Yushun; Gong, Yuezheng
2015
Novel symplectic discrete singular convolution method for Hamiltonian PDEs. Zbl 1388.65181
Cai, Wenjun; Zhang, Huai; Wang, Yushun
2016
Energy-preserving algorithms for the Benjamin equation. Zbl 1377.65136
Song, Yifu; Wang, Yushun
2017
Local structure-preserving algorithms for the molecular beam epitaxy model with slope selection. Zbl 1476.65182
Lu, Lin; Wang, Qi; Song, Yongzhong; Wang, Yushun
2021
A new multisymplectic scheme for generalized Kadomtsev-Petviashvili equation. Zbl 1112.37057
Jiang, Bin; Wang, Yushun; Cai, Jiaxiang
2006
A linearly implicit structure-preserving Fourier pseudo-spectral scheme for the damped nonlinear Schrödinger equation in three dimensions. Zbl 1436.65148
Jiang, Chaolong; Song, Yongzhong; Wang, Yushun
2020
Two new energy-preserving algorithms for generalized fifth-order KdV equation. Zbl 1488.65503
Hong, Qi; Wang, Yushun; Du, Qikui
2017
A note on the generating function method. Zbl 1488.65726
Bo, Yonghui; Cai, Wenjun; Wang, Yushun
2021
A conformal energy-conserved method for Maxwell’s equations with perfectly matched layers. Zbl 1473.65236
Jiang, Chaolong; Cui, Jin; Wang, Yushun
2019
Concatenating construction of the multisymplectic schemes for $$2+1$$-dimensional sine-Gordon equation. Zbl 1217.65234
Wang, Yushun; Wang, Bin; Qin, Mengzhao
2004
Derivation of the multisymplectic Crank-Nicolson scheme for the nonlinear Schrödinger equation. Zbl 1360.35237
Cai, Wenjun; Wang, Yushun; Song, Yongzhong
2014
Preface: Recent trends in highly accurate and structure-preserving numerical methods for partial differential equations. Zbl 1398.00078
2018
The structure-preserving methods for the Degasperis-Procesi equation. Zbl 1449.65353
Zhang, Yuze; Wang, Yushun; Yang, Yanhong
2019
On convergence of a structure preserving difference scheme for two-dimensional space-fractional nonlinear Schrödinger equation and its fast implementation. Zbl 07384079
Hu, Dongdong; Gong, Yuezheng; Wang, Yushun
2021
Arbitrary high-order linearly implicit energy-preserving algorithms for Hamiltonian PDEs. Zbl 07565424
Bo, Yonghui; Wang, Yushun; Cai, Wenjun
2022
Arbitrary high-order linearly implicit energy-preserving algorithms for Hamiltonian PDEs. Zbl 07565424
Bo, Yonghui; Wang, Yushun; Cai, Wenjun
2022
Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation. Zbl 1454.65058
Cui, Jin; Xu, Zhuangzhi; Wang, Yushun; Jiang, Chaolong
2021
Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations. Zbl 1456.65090
Jiang, Chaolong; Wang, Yushun; Gong, Yuezheng
2021
Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian. Zbl 1471.65102
Hu, Dongdong; Cai, Wenjun; Fu, Yayun; Wang, Yushun
2021
High-order structure-preserving algorithms for the multi-dimensional fractional nonlinear Schrödinger equation based on the SAV approach. Zbl 07331056
Fu, Yayun; Hu, Dongdong; Wang, Yushun
2021
An efficient energy-preserving method for the two-dimensional fractional Schrödinger equation. Zbl 1475.65068
Fu, Yayun; Xu, Zhuangzhi; Cai, Wenjun; Wang, Yushun
2021
A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach. Zbl 1467.65082
Fu, Yayun; Cai, Wenjun; Wang, Yushun
2021
Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine-Gordon equation with damping. Zbl 07428987
Hu, Dongdong; Cai, Wenjun; Xu, Zhuangzhi; Bo, Yonghui; Wang, Yushun
2021
A general symplectic scheme with three free parameters and its applications. Zbl 1458.65156
Bo, Yonghui; Cai, Wenjun; Wang, Yushun
2021
Local structure-preserving algorithms for the molecular beam epitaxy model with slope selection. Zbl 1476.65182
Lu, Lin; Wang, Qi; Song, Yongzhong; Wang, Yushun
2021
A note on the generating function method. Zbl 1488.65726
Bo, Yonghui; Cai, Wenjun; Wang, Yushun
2021
On convergence of a structure preserving difference scheme for two-dimensional space-fractional nonlinear Schrödinger equation and its fast implementation. Zbl 07384079
Hu, Dongdong; Gong, Yuezheng; Wang, Yushun
2021
Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation. Zbl 1439.37079
Jiang, Chaolong; Wang, Yushun; Gong, Yuezheng
2020
A linearly implicit structure-preserving scheme for the Camassa-Holm equation based on multiple scalar auxiliary variables approach. Zbl 1436.65104
Jiang, Chaolong; Gong, Yuezheng; Cai, Wenjun; Wang, Yushun
2020
An explicit structure-preserving algorithm for the nonlinear fractional Hamiltonian wave equation. Zbl 1440.65087
Fu, Yayun; Cai, Wenjun; Wang, Yushun
2020
A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations. Zbl 1448.65105
Hu, Dongdong; Cai, Wenjun; Song, Yongzhong; Wang, Yushun
2020
A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation. Zbl 07507246
Jiang, Chaolong; Wang, Yushun; Cai, Wenjun
2020
A new algorithm for the solution of nonlinear two-dimensional Volterra integro-differential equations of high-order. Zbl 07143620
Wang, Y.; Ezz-Eldien, S. S.; Aldraiweesh, A. A.
2020
Structure-preserving algorithms for the two-dimensional fractional Klein-Gordon-Schrödinger equation. Zbl 1442.65219
Fu, Yayun; Cai, Wenjun; Wang, Yushun
2020
A numerical treatment of the two-dimensional multi-term time-fractional mixed sub-diffusion and diffusion-wave equation. Zbl 1458.65131
Ezz-Eldien, S. S.; Doha, E. H.; Wang, Y.; Cai, W.
2020
Construction of the local structure-preserving algorithms for the general multi-symplectic Hamiltonian system. Zbl 1473.65353
Wang, Jialing; Wang, Yushun; Liang, Dong
2020
A linearly implicit structure-preserving Fourier pseudo-spectral scheme for the damped nonlinear Schrödinger equation in three dimensions. Zbl 1436.65148
Jiang, Chaolong; Song, Yongzhong; Wang, Yushun
2020
A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach. Zbl 1428.65028
Jiang, Chaolong; Cai, Wenjun; Wang, Yushun
2019
Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions. Zbl 1452.65393
Cai, Wenjun; Jiang, Chaolong; Wang, Yushun; Song, Yongzhong
2019
Minimax rate of testing in sparse linear regression. Zbl 1456.62083
Carpentier, A.; Collier, O.; Comminges, L.; Tsybakov, A. B.; Wang, Yu.
2019
Maximum-norm error analysis of a conservative scheme for the damped nonlinear fractional Schrödinger equation. Zbl 07316767
Fu, Yayun; Song, Yongzhong; Wang, Yushun
2019
Analysis of a conservative high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equation. Zbl 1419.65034
Wang, Jialing; Liang, Dong; Wang, Yushun
2019
A conformal energy-conserved method for Maxwell’s equations with perfectly matched layers. Zbl 1473.65236
Jiang, Chaolong; Cui, Jin; Wang, Yushun
2019
The structure-preserving methods for the Degasperis-Procesi equation. Zbl 1449.65353
Zhang, Yuze; Wang, Yushun; Yang, Yanhong
2019
Partitioned averaged vector field methods. Zbl 1398.65331
Cai, Wenjun; Li, Haochen; Wang, Yushun
2018
Optimal error estimate of a linear Fourier pseudo-spectral scheme for two dimensional Klein-Gordon-Schrödinger equations. Zbl 1407.65213
Hong, Qi; Wang, Yushun; Wang, Jialing
2018
An energy-preserving Crank-Nicolson Galerkin spectral element method for the two dimensional nonlinear Schrödinger equation. Zbl 1457.65145
Li, Haochen; Mu, Zhenguo; Wang, Yushun
2018
Optimal error estimate of a conformal Fourier pseudo-spectral method for the damped nonlinear Schrödinger equation. Zbl 1407.65215
Jiang, Chaolong; Cai, Wenjun; Wang, Yushun
2018
A new local energy-preserving algorithm for the BBM equation. Zbl 1427.65197
Yang, Yanhong; Wang, Yushun; Song, Yongzhong
2018
Efficient local energy dissipation preserving algorithms for the Cahn-Hilliard equation. Zbl 1416.65276
Mu, Zhenguo; Gong, Yuezheng; Cai, Wenjun; Wang, Yushun
2018
Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs. Zbl 1390.65104
Cai, Wenjun; Sun, Yajuan; Wang, Yushun; Zhang, Huai
2018
Analysis of a Fourier pseudo-spectral conservative scheme for the Klein-Gordon-Schrödinger equation. Zbl 1390.65082
Wang, Jialing; Wang, Yushun; Liang, Dong
2018
A novel energy-preserving scheme for the coupled nonlinear Schrödinger equations. Zbl 1387.65090
Mu, Zhenguo; Li, Haochen; Wang, Yushun
2018
Numerical analysis of a new conservative scheme for the coupled nonlinear Schrödinger equations. Zbl 07472011
Wang, Jialing; Wang, Yushun
2018
Preface: Recent trends in highly accurate and structure-preserving numerical methods for partial differential equations. Zbl 1398.00078
2018
A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation. Zbl 1406.35356
Gong, Yuezheng; Wang, Qi; Wang, Yushun; Cai, Jiaxiang
2017
Local structure-preserving algorithms for the KdV equation. Zbl 1413.65459
Wang, Jialing; Wang, Yushun
2017
Modelling damped acoustic waves by a dissipation-preserving conformal symplectic method. Zbl 1404.76189
Cai, Wenjun; Zhang, Huai; Wang, Yushun
2017
Dissipation-preserving spectral element method for damped seismic wave equations. Zbl 1380.86010
Cai, Wenjun; Zhang, Huai; Wang, Yushun
2017
An averaged vector field Legendre spectral element method for the nonlinear Schrödinger equation. Zbl 1408.65073
Li, Haochen; Wang, Yushun
2017
Local energy- and momentum-preserving schemes for Klein-Gordon-Schrödinger equations and convergence analysis. Zbl 1377.65101
Cai, Jiaxiang; Hong, Jialin; Wang, Yushun
2017
Energy-preserving algorithms for the Benjamin equation. Zbl 1377.65136
Song, Yifu; Wang, Yushun
2017
Two new energy-preserving algorithms for generalized fifth-order KdV equation. Zbl 1488.65503
Hong, Qi; Wang, Yushun; Du, Qikui
2017
A sixth order averaged vector field method. Zbl 1374.65206
Li, Haochen; Wang, Yushun; Lsec, Mengzhao Qin
2016
An energy-preserving wavelet collocation method for general multi-symplectic formulations of Hamiltonian PDEs. Zbl 1388.65120
Gong, Yuezheng; Wang, Yushun
2016
Numerical analysis of AVF methods for three-dimensional time-domain Maxwell’s equations. Zbl 1347.78009
Cai, Jiaxiang; Wang, Yushun; Gong, Yuezheng
2016
Geometric numerical integration for peakon $$b$$-family equations. Zbl 1388.65116
Cai, Wenjun; Sun, Yajuan; Wang, Yushun
2016
A discrete line integral method of order two for the Lorentz force system. Zbl 1410.81025
Li, Haochen; Wang, Yushun
2016
An energy-preserving Crank-Nicolson Galerkin method for Hamiltonian partial differential equations. Zbl 1351.65098
Li, Haochen; Wang, Yushun; Sheng, Qin
2016
Novel symplectic discrete singular convolution method for Hamiltonian PDEs. Zbl 1388.65181
Cai, Wenjun; Zhang, Huai; Wang, Yushun
2016
Two energy-conserved splitting methods for three-dimensional time-domain Maxwell’s equations and the convergence analysis. Zbl 1327.65171
Cai, Jiaxiang; Hong, Jialin; Wang, Yushun; Gong, Yuezheng
2015
Variational discretizations for the generalized Rosenau-type equations. Zbl 1410.65302
Cai, Wenjun; Sun, Yajuan; Wang, Yushun
2015
Convergence of time-splitting energy-conserved symplectic schemes for 3D Maxwell’s equations. Zbl 1410.78032
Cai, Jiaxiang; Wang, Yushun; Gong, Yuezheng
2015
Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs. Zbl 1352.65647
Gong, Yuezheng; Cai, Jiaxiang; Wang, Yushun
2014
Multi-symplectic Fourier pseudospectral method for the Kawahara equation. Zbl 1388.65119
Gong, Yuezheng; Cai, Jiaxiang; Wang, Yushun
2014
Derivation of the multisymplectic Crank-Nicolson scheme for the nonlinear Schrödinger equation. Zbl 1360.35237
Cai, Wenjun; Wang, Yushun; Song, Yongzhong
2014
Local energy-preserving and momentum-preserving algorithms for coupled nonlinear Schrödinger system. Zbl 1284.35393
Cai, Jiaxiang; Wang, Yushun; Liang, Hua
2013
Local structure-preserving algorithms for the “good” Boussinesq equation. Zbl 1284.65099
Cai, Jiaxiang; Wang, Yushun
2013
Multi-symplectic algorithms for Hamiltonian partial differential equations. Zbl 1289.65278
Wang, Yushun; Hong, Jialin
2013
Numerical dispersion analysis of a multi-symplectic scheme for the three dimensional Maxwell’s equations. Zbl 1284.35419
Cai, Wenjun; Wang, Yushun; Song, Yongzhong
2013
Numerical analysis of a multi-symplectic scheme for the time-domain Maxwell’s equations. Zbl 1273.78006
Wang, Yushun; Jiang, Juan; Cai, Wenjun
2011
New schemes for the coupled nonlinear Schrödinger equation. Zbl 1191.65170
Wang, Yushun; Li, Shengtai
2010
Multi-symplectic Birkhoffian structure for PDEs with dissipation terms. Zbl 1237.37055
Su, Hongling; Qin, Mengzhao; Wang, Yushun; Scherer, Rudolf
2010
Multisymplectic Preissman scheme for the time-domain Maxwell’s equations. Zbl 1202.78031
Cai, Jiaxiang; Wang, Yushun; Qiao, Zhonghua
2009
A new explicit multi-symplectic scheme for RLW equation. Zbl 1212.65319
Hu, Yingying; Wang, Yushun; Wang, Huiping
2009
Local structure-preserving algorithms for partial differential equations. Zbl 1179.65115
Wang, YuShun; Wang, Bin; Qin, MengZhao
2008
New multisymplectic self-adjoint scheme and its composition scheme for the time-domain Maxwell’s equations. Zbl 1112.78018
Cai, Jiaxiang; Wang, Yushun; Wang, Bin; Jiang, Bin
2006
On multi-symplectic partitioned Runge-Kutta methods for Hamiltonian wave equations. Zbl 1100.65116
Li, Qinghong; Song, Yongzhong; Wang, Yushun
2006
A new multisymplectic scheme for generalized Kadomtsev-Petviashvili equation. Zbl 1112.37057
Jiang, Bin; Wang, Yushun; Cai, Jiaxiang
2006
High-order multi-symplectic schemes for the nonlinear Klein-Gordon equation. Zbl 1073.65144
Wang, Yushun; Wang, Bin
2005
Numerical implementation of the multisymplectic Preissman scheme and its equivalent schemes. Zbl 1047.65107
Wang, Yushun; Wang, Bin; Qin, Mengzhao
2004
Concatenating construction of the multisymplectic schemes for $$2+1$$-dimensional sine-Gordon equation. Zbl 1217.65234
Wang, Yushun; Wang, Bin; Qin, Mengzhao
2004
High order symplectic schemes for the sine-Gordon equation. Zbl 1152.37347
Wang, Yushun; Wang, Bin; Ji, Zhongzhen; Qin, Mengzhao
2003
Multisymplectic schemes for the nonlinear Klein-Gordon equation. Zbl 1045.35083
Wang, Yu Shun; Qin, Meng Zhao
2002
Multisymplectic geometry and multisymplectic scheme for the nonlinear Klein-Gordon equation. Zbl 1113.37308
Wang, Yushun; Qin, Mengzhao
2001
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### Cited by 361 Authors

 55 Wang, Yushun 27 Cai, Wenjun 22 Cai, Jiaxiang 15 Gong, Yuezheng 14 Jiang, Chaolong 13 Song, Songhe 12 Zhang, Luming 11 Li, Haochen 11 Qian, Xu 10 Fu, Yayun 9 Hu, Dongdong 8 Wang, Tingchun 7 Song, Yongzhong 7 Wu, Xinyuan 7 Xu, Zhuangzhi 6 Hong, Jialin 6 Karasözen, Bülent 6 Kong, Linghua 6 Li, Meng 6 Wang, Jialing 5 Aydin, Ayhan 5 Cui, Jin 5 Hong, Qi 5 Ji, Bingquan 5 Sun, Jianqiang 5 Wang, Qi 5 Zhang, Hong 4 Bo, Yonghui 4 Deng, Dingwen 4 Ding, Xiaohua 4 Ma, Qiang 4 Macías-Díaz, Jorge Eduardo 4 Moore, Brian E. 4 Mu, Zhenguo 4 Sheu, Tony Wen-Hann 4 Sun, Yajuan 4 Sun, Zhengjie 4 Wang, Bin 4 Wang, Junjun 3 Bhatt, Ashish 3 Deng, Zichen 3 Doha, Eid H. 3 Ezz-Eldien, Samer S. 3 Fu, Hao 3 Guo, Boling 3 Li, Shengtai 3 Liang, Dong 3 Liang, Hua 3 Lv, Zhongquan 3 Mei, Lijie 3 Qin, Mengzhao 3 Song, Mingzhan 3 Uzunca, Murat 3 Wang, Nan 3 Yan, JingYe 3 Yan, Jinliang 3 Yang, Bin 3 Yang, Xiaofeng 3 Zhang, Huai 3 Zhang, Zhiyue 2 Abbaszadeh, Mostafa 2 Alsuyuti, Muhammad M. 2 Brugnano, Luigi 2 Chen, Juan 2 Cheng, Xiujun 2 Chiu, Pao-Hsiung 2 Dai, Weizhong 2 Dehghan Takht Fooladi, Mehdi 2 Hendy, Ahmed S. 2 Huang, Chengming 2 Huang, Li 2 Huang, Qiongao 2 Ji, Lihai 2 Jiang, Bin 2 Li, Buyang 2 Li, Dongfang 2 Li, Lu 2 Li, Qingjun 2 Liao, Feng 2 Liu, Ruxun 2 Lu, Lin 2 Machado, José António Tenreiro 2 Qiao, Zhonghua 2 Qin, Hongyu 2 Shen, Bangyu 2 Shi, Dongyang 2 Song, Yifu 2 Su, Hongling 2 Ünal, Sevil Çulha 2 Wang, Bin 2 Wang, Junjie 2 Wang, Lan 2 Wang, Xiaofeng 2 Wei, Yi 2 Wu, Longbin 2 Yang, He 2 Zaky, Mahmoud A. 2 Zhang, Gengen 2 Zhang, Haihui 2 Zhang, Jingjing ...and 261 more Authors
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### Cited in 59 Serials

 35 Applied Mathematics and Computation 32 Journal of Computational Physics 25 Applied Numerical Mathematics 19 International Journal of Computer Mathematics 18 Journal of Scientific Computing 13 Computers & Mathematics with Applications 12 Journal of Computational and Applied Mathematics 9 Advances in Applied Mathematics and Mechanics 8 Communications in Computational Physics 7 Mathematics and Computers in Simulation 7 Applied Mathematics Letters 7 Numerical Algorithms 7 Communications in Nonlinear Science and Numerical Simulation 6 Journal of Mathematical Physics 6 SIAM Journal on Scientific Computing 6 Advances in Computational Mathematics 5 Computer Physics Communications 5 Advances in Difference Equations 4 Applied Mathematical Modelling 4 Computational and Applied Mathematics 3 East Asian Journal on Applied Mathematics 2 Applicable Analysis 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Chaos, Solitons and Fractals 2 Calcolo 2 SIAM Journal on Numerical Analysis 2 Numerical Methods for Partial Differential Equations 2 The ANZIAM Journal 2 Discrete and Continuous Dynamical Systems. Series B 2 Science China. Mathematics 2 Journal of Applied Analysis and Computation 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal for Numerical Methods in Fluids 1 Physica A 1 Physics Letters. A 1 BIT 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematicae Applicatae Sinica. English Series 1 Science in China. Series A 1 Computational Mathematics and Modeling 1 Computational Mathematics and Mathematical Physics 1 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Numerical Mathematics: Theory, Methods and Applications 1 International Journal for Numerical Methods in Biomedical Engineering 1 Analysis and Mathematical Physics 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Communications in Mathematics and Statistics 1 Journal of Function Spaces 1 International Journal of Applied and Computational Mathematics 1 Communications on Applied Mathematics and Computation 1 Electronic Research Archive
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### Cited in 23 Fields

 273 Numerical analysis (65-XX) 174 Partial differential equations (35-XX) 50 Dynamical systems and ergodic theory (37-XX) 21 Fluid mechanics (76-XX) 20 Optics, electromagnetic theory (78-XX) 12 Quantum theory (81-XX) 10 Real functions (26-XX) 8 Mechanics of particles and systems (70-XX) 6 Probability theory and stochastic processes (60-XX) 6 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 3 Special functions (33-XX) 3 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)