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Xie, Shusen

Co-Author Distance
Author ID: xie.shusen Recent zbMATH articles by "Xie, Shusen"
Published as: Xie, Shusen; Xie, Shu-Sen; Xie, Shu Sen
Documents Indexed: 49 Publications since 1995, including 2 Additional arXiv Preprints
Co-Authors: 45 Co-Authors with 43 Joint Publications
1,135 Co-Co-Authors
all top 5

Co-Authors

6 single-authored
9 Yi, Sucheol
7 Fu, Hongfei
5 Gao, Zhen
4 Liang, Dong
3 Kim, Seokchan
3 Li, Gongchun
3 Li, Peng
3 Shi, Yilei
3 Woo, Gyungsoo
3 Xu, Jie
2 Chen, Chunguang
2 Don, Wai Sun
2 Fu, Kai
2 Hao, Shuyan
2 Heo, Sunyeong
2 Kuang, Baolin
2 Li, Guangxing
2 Xue, Heng
2 Zhang, Xiangxiong
1 Cui, Minggen
1 Fei, Jiajie
1 Gu, Haiming
1 Gu, Yaguang
1 Guo, Cuiping
1 Kwon, Tae In
1 Li, Hao
1 Li, Kexin
1 Ma, Li
1 Namm, Robert Viktorovich
1 Niu, Yanpo
1 Pyo, Jae-Hong
1 Ren, Baifen
1 Song, Cuiling
1 Sun, Haiyan
1 Sun, Jiawei
1 Wang, Hui
1 Wang, Jingping
1 Wang, Yanjie
1 Wang, Zhen
1 Xing, Yulong
1 Yin, Liping
1 Yu, Guoxiao
1 Zhang, Bingyin
1 Zhang, Linlin
1 Zhao, Linlin
all top 5

Serials

5 Periodical of Ocean University of China
3 Applied Numerical Mathematics
3 Journal of Scientific Computing
3 Journal of Ocean University of Qingdao
3 International Journal of Numerical Analysis and Modeling
2 Applied Mathematics and Computation
2 Journal of Computational and Applied Mathematics
2 Numerical Mathematics
2 Journal of Shandong University. Natural Science Edition
2 Journal of Systems Science and Mathematical Sciences
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 International Journal for Numerical Methods in Fluids
1 Journal of the Korean Mathematical Society
1 SIAM Journal on Numerical Analysis
1 Acta Mathematicae Applicatae Sinica
1 Mathematics in Practice and Theory
1 Numerical Methods for Partial Differential Equations
1 Journal of Natural Science of Heilongjiang University
1 SIAM Journal on Scientific Computing
1 Numerical Mathematics
1 Applied Mathematics. Series A (Chinese Edition)
1 Advances in Computational Mathematics
1 Honam Mathematical Journal
1 Journal of Ocean University of China
1 Communications in Computational Physics
1 Networks and Heterogeneous Media
1 Communications on Applied Mathematics and Computation
all top 5

Fields

47 Numerical analysis (65-XX)
33 Partial differential equations (35-XX)
8 Fluid mechanics (76-XX)
3 Functional analysis (46-XX)
1 Real functions (26-XX)
1 Ordinary differential equations (34-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Probability theory and stochastic processes (60-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

21 Publications have been cited 320 times in 274 Documents Cited by ▼ Year ▼
Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations. Zbl 1221.65220
Gao, Zhen; Xie, Shusen
89
2011
Compact finite difference schemes with high accuracy for one-dimensional nonlinear Schrödinger equation. Zbl 1229.81011
Xie, Shusen; Li, Guangxing; Yi, Sucheol
68
2009
Numerical solution of one-dimensional Burgers’ equation using reproducing kernel function. Zbl 1140.65069
Xie, Shu-Sen; Heo, Sunyeong; Kim, Seokchan; Woo, Gyungsoo; Yi, Sucheol
38
2008
Fourth-order compact difference and alternating direction implicit schemes for telegraph equations. Zbl 1307.65114
Xie, Shu-Sen; Yi, Su-Cheol; Kwon, Tae In
31
2012
A high order accurate bound-preserving compact finite difference scheme for scalar convection diffusion equations. Zbl 1405.65097
Li, Hao; Xie, Shusen; Zhang, Xiangxiong
17
2018
Hybrid Fourier-continuation method and weighted essentially non-oscillatory finite difference scheme for hyperbolic conservation laws in a single-domain framework. Zbl 1326.65109
Li, Peng; Gao, Zhen; Don, Wai-Sun; Xie, Shusen
10
2015
A conservative compact finite difference scheme for the coupled Schrödinger-KdV equations. Zbl 1436.65114
Xie, Shusen; Yi, Su-Cheol
10
2020
High order compact block-centered finite difference schemes for elliptic and parabolic problems. Zbl 1476.65192
Shi, Yilei; Xie, Shusen; Liang, Dong; Fu, Kai
10
2021
A compact finite difference method for solving Burgers’ equation. Zbl 1213.65120
Xie, Shusen; Li, Guangxing; Yi, Sucheol; Heo, Sunyeong
8
2010
A two-grid block-centered finite difference method for the nonlinear regularized long wave equation. Zbl 1519.65023
Xu, Jie; Xie, Shusen; Fu, Hongfei
8
2022
The Galerkin method for the KdV equation using a new basis of smooth piecewise cubic polynomials. Zbl 1245.65127
Hao, Shu-Yan; Xie, Shu-Sen; Yi, Su-Cheol
7
2012
A numerical method for the generalized regularized long wave equation using a reproducing kernel function. Zbl 1181.65125
Xie, Shusen; Kim, Seokchan; Woo, Gyungsoo; Yi, Sucheol
5
2008
A fourth-order block-centered compact difference scheme for nonlinear contaminant transport equations with adsorption. Zbl 1522.65153
Shi, Yilei; Xie, Shusen; Liang, Dong
4
2022
Hybrid compact-WENO finite difference scheme for detonation waves simulations. Zbl 1352.65259
Niu, Yanpo; Gao, Zhen; Don, Wai Sun; Xie, Shusen; Li, Peng
4
2015
Local discontinuous Galerkin methods for the \(abcd\) nonlinear Boussinesq system. Zbl 1499.65528
Sun, Jiawei; Xie, Shusen; Xing, Yulong
3
2022
High order compact finite difference schemes for a system of third order boundary value problem. Zbl 1308.65128
Xie, Shusen; Li, Peng; Gao, Zhen; Wang, Hui
2
2012
A scalar auxiliary variable (SAV) and operator splitting compact finite difference method for peritectic phase field model. Zbl 1499.65388
Fei, Jiajie; Xie, Shusen; Chen, Chunguang
2
2022
Solution of semicoercive Signorini problem based on a duality scheme with modified Lagrangian functional. Zbl 1256.65067
Namm, Robert V.; Woo, Gyungsoo; Xie, Shu-Sen; Yi, Sucheol
1
2012
Error estimate of L1-ADI scheme for two-dimensional multi-term time fractional diffusion equation. Zbl 1534.65140
Li, Kexin; Chen, Hu; Xie, Shusen
1
2023
\(L1\)-robust analysis of a fourth-order block-centered Finite difference method for two-dimensional variable-coefficient time-fractional reaction-diffusion equations. Zbl 1538.65257
Ma, Li; Fu, Hongfei; Zhang, Bingyin; Xie, Shusen
1
2023
Efficient, linearized high-order compact difference schemes for nonlinear parabolic equations. I: One-dimensional problem. Zbl 07776973
Wang, Yanjie; Xie, Shusen; Fu, Hongfei
1
2023
Error estimate of L1-ADI scheme for two-dimensional multi-term time fractional diffusion equation. Zbl 1534.65140
Li, Kexin; Chen, Hu; Xie, Shusen
1
2023
\(L1\)-robust analysis of a fourth-order block-centered Finite difference method for two-dimensional variable-coefficient time-fractional reaction-diffusion equations. Zbl 1538.65257
Ma, Li; Fu, Hongfei; Zhang, Bingyin; Xie, Shusen
1
2023
Efficient, linearized high-order compact difference schemes for nonlinear parabolic equations. I: One-dimensional problem. Zbl 07776973
Wang, Yanjie; Xie, Shusen; Fu, Hongfei
1
2023
A two-grid block-centered finite difference method for the nonlinear regularized long wave equation. Zbl 1519.65023
Xu, Jie; Xie, Shusen; Fu, Hongfei
8
2022
A fourth-order block-centered compact difference scheme for nonlinear contaminant transport equations with adsorption. Zbl 1522.65153
Shi, Yilei; Xie, Shusen; Liang, Dong
4
2022
Local discontinuous Galerkin methods for the \(abcd\) nonlinear Boussinesq system. Zbl 1499.65528
Sun, Jiawei; Xie, Shusen; Xing, Yulong
3
2022
A scalar auxiliary variable (SAV) and operator splitting compact finite difference method for peritectic phase field model. Zbl 1499.65388
Fei, Jiajie; Xie, Shusen; Chen, Chunguang
2
2022
High order compact block-centered finite difference schemes for elliptic and parabolic problems. Zbl 1476.65192
Shi, Yilei; Xie, Shusen; Liang, Dong; Fu, Kai
10
2021
A conservative compact finite difference scheme for the coupled Schrödinger-KdV equations. Zbl 1436.65114
Xie, Shusen; Yi, Su-Cheol
10
2020
A high order accurate bound-preserving compact finite difference scheme for scalar convection diffusion equations. Zbl 1405.65097
Li, Hao; Xie, Shusen; Zhang, Xiangxiong
17
2018
Hybrid Fourier-continuation method and weighted essentially non-oscillatory finite difference scheme for hyperbolic conservation laws in a single-domain framework. Zbl 1326.65109
Li, Peng; Gao, Zhen; Don, Wai-Sun; Xie, Shusen
10
2015
Hybrid compact-WENO finite difference scheme for detonation waves simulations. Zbl 1352.65259
Niu, Yanpo; Gao, Zhen; Don, Wai Sun; Xie, Shusen; Li, Peng
4
2015
Fourth-order compact difference and alternating direction implicit schemes for telegraph equations. Zbl 1307.65114
Xie, Shu-Sen; Yi, Su-Cheol; Kwon, Tae In
31
2012
The Galerkin method for the KdV equation using a new basis of smooth piecewise cubic polynomials. Zbl 1245.65127
Hao, Shu-Yan; Xie, Shu-Sen; Yi, Su-Cheol
7
2012
High order compact finite difference schemes for a system of third order boundary value problem. Zbl 1308.65128
Xie, Shusen; Li, Peng; Gao, Zhen; Wang, Hui
2
2012
Solution of semicoercive Signorini problem based on a duality scheme with modified Lagrangian functional. Zbl 1256.65067
Namm, Robert V.; Woo, Gyungsoo; Xie, Shu-Sen; Yi, Sucheol
1
2012
Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations. Zbl 1221.65220
Gao, Zhen; Xie, Shusen
89
2011
A compact finite difference method for solving Burgers’ equation. Zbl 1213.65120
Xie, Shusen; Li, Guangxing; Yi, Sucheol; Heo, Sunyeong
8
2010
Compact finite difference schemes with high accuracy for one-dimensional nonlinear Schrödinger equation. Zbl 1229.81011
Xie, Shusen; Li, Guangxing; Yi, Sucheol
68
2009
Numerical solution of one-dimensional Burgers’ equation using reproducing kernel function. Zbl 1140.65069
Xie, Shu-Sen; Heo, Sunyeong; Kim, Seokchan; Woo, Gyungsoo; Yi, Sucheol
38
2008
A numerical method for the generalized regularized long wave equation using a reproducing kernel function. Zbl 1181.65125
Xie, Shusen; Kim, Seokchan; Woo, Gyungsoo; Yi, Sucheol
5
2008
all cited Publications top 5 cited Publications
all top 5

Cited by 484 Authors

15 Wang, Tingchun
12 Xie, Shusen
9 Deng, Dingwen
9 Zhang, Luming
8 Gao, Zhen
7 Fu, Hongfei
7 Ge, Yongbin
7 Liang, Dong
6 Hu, Hanzhang
6 Mokhtari, Reza
6 Zhang, Chengjian
6 Zhang, Xiangxiong
5 Chen, Huanzhen
5 Don, Wai Sun
4 Dehghan Takht Fooladi, Mehdi
4 Guo, Boling
4 Huang, Chengming
4 Li, Qing
4 Omrani, Khaled
4 Wang, Baoshan
4 Zhang, Qifeng
3 Bashan, Ali
3 Chen, Yanping
3 Feng, Xinlong
3 Gao, Yali
3 He, Yuyu
3 Jung, Jae-Hun
3 Kadri, Tlili
3 Li, Jiyong
3 Li, Peng
3 Li, Xiaoli
3 Liao, Feng
3 Mohammadi, Maryam Beyg
3 Pan, Kejia
3 Pan, Xintian
3 Shi, Yilei
3 Wang, Hanquan
3 Wang, Pengde
3 Wang, Shuaikang
3 Xu, Jie
3 Zhang, Gengen
3 Zhang, Rongpei
3 Zhang, Xiaohua
3 Zheng, Zhoushun
3 Zlotnik, Alexander A.
2 Abbasbandy, Saeid
2 Abd-Elhameed, Waleed Mohamed
2 Avazzadeh, Zakieh
2 Awasthi, Ashish
2 Bouguellab, Nasreddine
2 Brahmi, Nassim
2 Cai, Yongyong
2 Chaolu, Temuer
2 Chen, Hongtao
2 Chen, Juan
2 Dağ, İdris
2 Doha, Eid H.
2 Du, Mingjing
2 Eskar, Rena
2 Fan, Gexian
2 Fu, Kai
2 Guo, Jingyang
2 He, Xiaoming
2 Hendy, Ahmed S.
2 Heydari, Mohammad Hossein
2 Hosseininia, Masoumeh
2 Huang, Pengzhan
2 Jiwari, Ram
2 Khalfallah, Smail
2 Kong, Desong
2 Kutluay, Selcuk
2 Li, Hao
2 Li, Hong
2 Li, Mingjun
2 Li, Shuguang
2 Liu, Wei
2 Liu, Xiaojing
2 Liu, Yang
2 Ma, Shu
2 Ma, Xiu
2 Miao, Xiaoping
2 Mohammadi, Reza
2 Pandit, Sapna
2 Qin, Hongyu
2 Rahmeni, Mohamed
2 Ramezani, Mohadese
2 Rawani, Mukesh Kumar
2 Romanova, Alla
2 Rui, Hongxing
2 Shivanian, Elyas
2 Shu, Chi-Wang
2 Song, Yingxue
2 Sun, Fei
2 Taleei, Ameneh
2 Ucar, Yusuf
2 Verma, Amit Kumar
2 Verma, Lajja
2 Wang, Bo
2 Wang, Jialing
2 Wang, Jiaqun
...and 384 more Authors
all top 5

Cited in 79 Serials

31 Applied Mathematics and Computation
20 Applied Numerical Mathematics
17 Computers & Mathematics with Applications
14 Journal of Computational Physics
13 Numerical Methods for Partial Differential Equations
11 International Journal of Computer Mathematics
10 Journal of Computational and Applied Mathematics
10 Communications in Nonlinear Science and Numerical Simulation
9 Computer Physics Communications
8 Numerical Algorithms
8 Computational and Applied Mathematics
7 Journal of Scientific Computing
7 Engineering Analysis with Boundary Elements
5 Mathematical Methods in the Applied Sciences
5 Advances in Applied Mathematics and Mechanics
4 Mathematics and Computers in Simulation
4 SIAM Journal on Scientific Computing
4 Advances in Difference Equations
4 Communications on Applied Mathematics and Computation
3 Applied Mathematics Letters
3 Advances in Computational Mathematics
3 Journal of Difference Equations and Applications
3 Mathematical Problems in Engineering
3 Mathematical Sciences
2 Computers and Fluids
2 International Journal for Numerical Methods in Fluids
2 Journal of Mathematical Analysis and Applications
2 Bulletin of the Iranian Mathematical Society
2 Abstract and Applied Analysis
2 International Journal of Computational Methods
2 International Journal of Numerical Analysis and Modeling
2 Boundary Value Problems
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Communications in Computational Physics
2 Discrete and Continuous Dynamical Systems. Series S
2 Electronic Research Archive
1 Acta Mechanica
1 Applicable Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Mathematical Physics
1 Wave Motion
1 Chaos, Solitons and Fractals
1 Calcolo
1 Journal of the Korean Mathematical Society
1 Journal of Optimization Theory and Applications
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 SIAM Journal on Numerical Analysis
1 Acta Mathematicae Applicatae Sinica. English Series
1 Applications of Mathematics
1 Applied Mathematical Modelling
1 SIAM Review
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Journal of Mathematical Chemistry
1 International Journal of Computational Fluid Dynamics
1 Nonlinear Dynamics
1 Journal of Inequalities and Applications
1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
1 Engineering Computations
1 Journal of Applied Mathematics
1 Journal of Applied Mathematics and Computing
1 Chinese Journal of Physics (Taipei)
1 Kinetic and Related Models
1 International Journal for Computational Methods in Engineering Science and Mechanics
1 Numerical Mathematics: Theory, Methods and Applications
1 Communications in Theoretical Physics
1 Journal of Nonlinear Science and Applications
1 Advances in Mathematical Physics
1 Advances in Numerical Analysis
1 Science China. Mathematics
1 Azerbaijan Journal of Mathematics
1 Iranian Journal of Numerical Analysis and Optimization
1 Computational Methods for Differential Equations
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Transactions of A. Razmadze Mathematical Institute
1 Results in Applied Mathematics
1 Journal of Computational and Theoretical Transport
1 Communications in Analysis and Mechanics
all top 5

Cited in 21 Fields

260 Numerical analysis (65-XX)
203 Partial differential equations (35-XX)
36 Fluid mechanics (76-XX)
9 Real functions (26-XX)
9 Mechanics of deformable solids (74-XX)
7 Approximations and expansions (41-XX)
7 Optics, electromagnetic theory (78-XX)
4 Operator theory (47-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Ordinary differential equations (34-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Functional analysis (46-XX)
3 Quantum theory (81-XX)
2 Special functions (33-XX)
2 Dynamical systems and ergodic theory (37-XX)
1 Combinatorics (05-XX)
1 Difference and functional equations (39-XX)
1 Convex and discrete geometry (52-XX)
1 Computer science (68-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Citations by Year