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Author ID: zheng.chunxiong Recent zbMATH articles by "Zheng, Chunxiong"
Published as: Zheng, Chunxiong
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 377 times in 256 Documents Cited by Year
A time-splitting spectral scheme for the Maxwell-Dirac system. Zbl 1070.81040
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof; Zheng, Chunxiong
43
2005
A perfectly matched layer approach to the nonlinear Schrödinger wave equations. Zbl 1127.65078
Zheng, Chunxiong
38
2007
Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1094.65086
Zheng, Chunxiong
34
2006
Numerical simulation of a generalized Zakharov system. Zbl 1079.65101
Jin, Shi; Markowich, Peter A.; Zheng, Chunxiong
31
2004
Numerical solution to the sine-Gordon equation defined on the whole real axis. Zbl 1158.35082
Zheng, Chunxiong
18
2007
Approximation, stability and fast evaluation of exact artificial boundary condition for the one-dimensional heat equation. Zbl 1150.65022
Zheng, Chunxiong
17
2007
Numerical solution to a linearized KdV equation on unbounded domain. Zbl 1140.65070
Zheng, Chunxiong; Wen, Xin; Han, Houde
17
2008
Numerical simulation of a modified KdV equation on the whole real axis. Zbl 1105.65106
Zheng, Chunxiong
13
2006
Reconstruction of obstacles embedded in waveguides. Zbl 1281.78013
Sun, Jiguang; Zheng, Chunxiong
12
2013
Numerical solution of a two-dimensional nonlocal wave equation on unbounded domains. Zbl 1392.82036
Du, Qiang; Han, Houde; Zhang, Jiwei; Zheng, Chunxiong
11
2018
Initial boundary value problems for integrable systems: towards the long time asymptotics. Zbl 1197.37087
Boutet de Monvel, Anne; Kotlyarov, Vladimir P.; Shepelsky, Dmitry; Zheng, Chunxiong
11
2010
Exact nonreflecting boundary conditions for an acoustic problem in three dimensions. Zbl 1027.76048
Han, Houde; Zheng, Chunxiong
10
2003
A novel twice-interpolation finite element method for solid mechanics problems. Zbl 1269.74205
Zheng, C.; Wu, S. C.; Tang, X. H.; Zhang, J. H.
10
2010
Numerical simulation of waves in periodic structures. Zbl 1364.78014
Ehrhardt, Matthias; Han, Houde; Zheng, Chunxiong
10
2009
Evaluation of scattering operators for semi-infinite periodic arrays. Zbl 1182.35019
Ehrhardt, Matthias; Sun, Jiguang; Zheng, Chunxiong
9
2009
A novel mesh-free poly-cell Galerkin method. Zbl 1178.74188
Zheng, C.; Tang, X. H.; Zhang, J. H.; Wu, S. C.
8
2009
Gaussian beam formulations and interface conditions for the one-dimensional linear Schrödinger equation. Zbl 1283.81063
Yin, Dongsheng; Zheng, Chunxiong
7
2011
Partition of unity refinement for local approximation. Zbl 1221.65300
Bacuta, Constantin; Sun, Jiguang; Zheng, Chunxiong
6
2011
Stability and error analysis for a second-order fast approximation of the one-dimensional schrödinger equation under absorbing boundary conditions. Zbl 1412.65119
Li, Buyang; Zhang, Jiwei; Zheng, Chunxiong
6
2018
Exact artificial boundary conditions for problems with periodic structures. Zbl 1152.65100
Ehrhardt, Matthias; Zheng, Chunxiong
6
2008
A time-splitting spectral method for the generalized Zakharov system in multi-dimensions. Zbl 1203.65138
Jin, Shi; Zheng, Chunxiong
6
2006
Numerical solution of the nonlocal diffusion equation on the real line. Zbl 1376.82053
Zheng, Chunxiong; Hu, Jiashun; Du, Qiang; Zhang, Jiwei
6
2017
An efficient second-order finite difference method for the one-dimensional Schrödinger equation with absorbing boundary conditions. Zbl 1450.65079
Li, Buyang; Zhang, Jiwei; Zheng, Chunxiong
5
2018
On uniform second order nonlocal approximations to linear two-point boundary value problems. Zbl 1426.47013
Du, Qiang; Zhang, Jiwei; Zheng, Chunxiong
5
2019
A time-splitting spectral method for three-wave interactions in media with competing quadratic and cubic nonlinearities. Zbl 1164.78320
Bao, Weizhu; Zheng, Chunxiong
4
2007
A high performance large sparse symmetric solver for the meshfree Galerkin method. Zbl 1264.80032
Wu, S. C.; Zhang, H. O.; Zheng, C.; Zhang, J. H.
4
2008
An exact absorbing boundary condition for the Schrödinger equation with sinusoidal potentials at infinity. Zbl 1199.65299
Zheng, Chunxiong
4
2008
Nonlocal wave propagation in unbounded multi-scale media. Zbl 1475.65156
Du, Qiang; Zhang, Jiwei; Zheng, Chunxiong
3
2018
Global geometrical optics method. Zbl 1275.35015
Zheng, Chunxiong
3
2013
Artificial boundary method for the exterior Stokes flow in three dimensions. Zbl 1078.76597
Zheng, Chunxiong; Han, Houde
3
2003
Stability and error analysis for a second-order fast approximation of the local and nonlocal diffusion equations on the real line. Zbl 1446.82045
Zheng, Chunxiong; Du, Qiang; Ma, Xiang; Zhang, Jiwei
2
2020
Fast evaluation of artificial boundary conditions for advection diffusion equations. Zbl 1455.65141
Sun, Ting; Wang, Jilu; Zheng, Chunxiong
2
2020
Artificial boundary method for the three-dimensional exterior problem of elasticity. Zbl 1280.74016
Han, Houde; Zheng, Chunxiong
2
2005
Numerical computations of nonlocal Schrödinger equations on the real line. Zbl 1449.82004
Yan, Yonggui; Zhang, Jiwei; Zheng, Chunxiong
2
2020
Fast finite element method for the three-dimensional Poisson equation in infinite domains. Zbl 1475.65199
Ma, Xiang; Zheng, Chunxiong
1
2018
Error analysis of a coupled finite-infinite element method for an exterior Poisson problem. Zbl 1112.65113
Zheng, Chunxiong
1
2007
Fast evaluation of exact transparent boundary condition for one-dimensional cubic nonlinear Schrödinger equation. Zbl 1202.65135
Zheng, Chunxiong
1
2010
Mixed finite element method and high-order local artificial boundary conditions for exterior problems of elliptic equation. Zbl 1069.65127
Han, Houde; Zheng, Chunxiong
1
2002
Mixed finite element method and higher-order local artificial boundary conditions for exterior 3-D Poisson equation. Zbl 1030.65118
Han, Houde; Zheng, Chunxiong
1
2002
Gaussian beam approach for the boundary value problem of high frequency Helmholtz equation. Zbl 1209.78014
Zheng, Chunxiong
1
2010
Laplacian image contrast in mirror electron microscopy. Zbl 1211.78003
Kennedy, S. M.; Zheng, C. X.; Tang, W. X.; Paganin, D. M.; Jesson, D. E.
1
2010
Fast and stable evaluation of the exact absorbing boundary condition for the semi-discrete linear Schrödinger equation in unbounded domains. Zbl 1370.65044
Hu, Jiashun; Zheng, Chunxiong
1
2017
Composite coherent states approximation for one-dimensional multi-phased wave functions. Zbl 1373.81012
Yin, Dongsheng; Zheng, Chunxiong
1
2012
Stability and error analysis for a second-order fast approximation of the local and nonlocal diffusion equations on the real line. Zbl 1446.82045
Zheng, Chunxiong; Du, Qiang; Ma, Xiang; Zhang, Jiwei
2
2020
Fast evaluation of artificial boundary conditions for advection diffusion equations. Zbl 1455.65141
Sun, Ting; Wang, Jilu; Zheng, Chunxiong
2
2020
Numerical computations of nonlocal Schrödinger equations on the real line. Zbl 1449.82004
Yan, Yonggui; Zhang, Jiwei; Zheng, Chunxiong
2
2020
On uniform second order nonlocal approximations to linear two-point boundary value problems. Zbl 1426.47013
Du, Qiang; Zhang, Jiwei; Zheng, Chunxiong
5
2019
Numerical solution of a two-dimensional nonlocal wave equation on unbounded domains. Zbl 1392.82036
Du, Qiang; Han, Houde; Zhang, Jiwei; Zheng, Chunxiong
11
2018
Stability and error analysis for a second-order fast approximation of the one-dimensional schrödinger equation under absorbing boundary conditions. Zbl 1412.65119
Li, Buyang; Zhang, Jiwei; Zheng, Chunxiong
6
2018
An efficient second-order finite difference method for the one-dimensional Schrödinger equation with absorbing boundary conditions. Zbl 1450.65079
Li, Buyang; Zhang, Jiwei; Zheng, Chunxiong
5
2018
Nonlocal wave propagation in unbounded multi-scale media. Zbl 1475.65156
Du, Qiang; Zhang, Jiwei; Zheng, Chunxiong
3
2018
Fast finite element method for the three-dimensional Poisson equation in infinite domains. Zbl 1475.65199
Ma, Xiang; Zheng, Chunxiong
1
2018
Numerical solution of the nonlocal diffusion equation on the real line. Zbl 1376.82053
Zheng, Chunxiong; Hu, Jiashun; Du, Qiang; Zhang, Jiwei
6
2017
Fast and stable evaluation of the exact absorbing boundary condition for the semi-discrete linear Schrödinger equation in unbounded domains. Zbl 1370.65044
Hu, Jiashun; Zheng, Chunxiong
1
2017
Reconstruction of obstacles embedded in waveguides. Zbl 1281.78013
Sun, Jiguang; Zheng, Chunxiong
12
2013
Global geometrical optics method. Zbl 1275.35015
Zheng, Chunxiong
3
2013
Composite coherent states approximation for one-dimensional multi-phased wave functions. Zbl 1373.81012
Yin, Dongsheng; Zheng, Chunxiong
1
2012
Gaussian beam formulations and interface conditions for the one-dimensional linear Schrödinger equation. Zbl 1283.81063
Yin, Dongsheng; Zheng, Chunxiong
7
2011
Partition of unity refinement for local approximation. Zbl 1221.65300
Bacuta, Constantin; Sun, Jiguang; Zheng, Chunxiong
6
2011
Initial boundary value problems for integrable systems: towards the long time asymptotics. Zbl 1197.37087
Boutet de Monvel, Anne; Kotlyarov, Vladimir P.; Shepelsky, Dmitry; Zheng, Chunxiong
11
2010
A novel twice-interpolation finite element method for solid mechanics problems. Zbl 1269.74205
Zheng, C.; Wu, S. C.; Tang, X. H.; Zhang, J. H.
10
2010
Fast evaluation of exact transparent boundary condition for one-dimensional cubic nonlinear Schrödinger equation. Zbl 1202.65135
Zheng, Chunxiong
1
2010
Gaussian beam approach for the boundary value problem of high frequency Helmholtz equation. Zbl 1209.78014
Zheng, Chunxiong
1
2010
Laplacian image contrast in mirror electron microscopy. Zbl 1211.78003
Kennedy, S. M.; Zheng, C. X.; Tang, W. X.; Paganin, D. M.; Jesson, D. E.
1
2010
Numerical simulation of waves in periodic structures. Zbl 1364.78014
Ehrhardt, Matthias; Han, Houde; Zheng, Chunxiong
10
2009
Evaluation of scattering operators for semi-infinite periodic arrays. Zbl 1182.35019
Ehrhardt, Matthias; Sun, Jiguang; Zheng, Chunxiong
9
2009
A novel mesh-free poly-cell Galerkin method. Zbl 1178.74188
Zheng, C.; Tang, X. H.; Zhang, J. H.; Wu, S. C.
8
2009
Numerical solution to a linearized KdV equation on unbounded domain. Zbl 1140.65070
Zheng, Chunxiong; Wen, Xin; Han, Houde
17
2008
Exact artificial boundary conditions for problems with periodic structures. Zbl 1152.65100
Ehrhardt, Matthias; Zheng, Chunxiong
6
2008
A high performance large sparse symmetric solver for the meshfree Galerkin method. Zbl 1264.80032
Wu, S. C.; Zhang, H. O.; Zheng, C.; Zhang, J. H.
4
2008
An exact absorbing boundary condition for the Schrödinger equation with sinusoidal potentials at infinity. Zbl 1199.65299
Zheng, Chunxiong
4
2008
A perfectly matched layer approach to the nonlinear Schrödinger wave equations. Zbl 1127.65078
Zheng, Chunxiong
38
2007
Numerical solution to the sine-Gordon equation defined on the whole real axis. Zbl 1158.35082
Zheng, Chunxiong
18
2007
Approximation, stability and fast evaluation of exact artificial boundary condition for the one-dimensional heat equation. Zbl 1150.65022
Zheng, Chunxiong
17
2007
A time-splitting spectral method for three-wave interactions in media with competing quadratic and cubic nonlinearities. Zbl 1164.78320
Bao, Weizhu; Zheng, Chunxiong
4
2007
Error analysis of a coupled finite-infinite element method for an exterior Poisson problem. Zbl 1112.65113
Zheng, Chunxiong
1
2007
Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1094.65086
Zheng, Chunxiong
34
2006
Numerical simulation of a modified KdV equation on the whole real axis. Zbl 1105.65106
Zheng, Chunxiong
13
2006
A time-splitting spectral method for the generalized Zakharov system in multi-dimensions. Zbl 1203.65138
Jin, Shi; Zheng, Chunxiong
6
2006
A time-splitting spectral scheme for the Maxwell-Dirac system. Zbl 1070.81040
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof; Zheng, Chunxiong
43
2005
Artificial boundary method for the three-dimensional exterior problem of elasticity. Zbl 1280.74016
Han, Houde; Zheng, Chunxiong
2
2005
Numerical simulation of a generalized Zakharov system. Zbl 1079.65101
Jin, Shi; Markowich, Peter A.; Zheng, Chunxiong
31
2004
Exact nonreflecting boundary conditions for an acoustic problem in three dimensions. Zbl 1027.76048
Han, Houde; Zheng, Chunxiong
10
2003
Artificial boundary method for the exterior Stokes flow in three dimensions. Zbl 1078.76597
Zheng, Chunxiong; Han, Houde
3
2003
Mixed finite element method and high-order local artificial boundary conditions for exterior problems of elliptic equation. Zbl 1069.65127
Han, Houde; Zheng, Chunxiong
1
2002
Mixed finite element method and higher-order local artificial boundary conditions for exterior 3-D Poisson equation. Zbl 1030.65118
Han, Houde; Zheng, Chunxiong
1
2002
all top 5

Cited by 354 Authors

24 Zheng, Chunxiong
18 Zhang, Jiwei
13 Antoine, Xavier
11 Bao, Weizhu
9 Cai, Yongyong
8 Lorin, Emmanuel
7 Han, Houde
7 Su, Chunmei
7 Yin, Jia
6 Besse, Christophe
6 Jin, Shi
6 Pang, Gang
6 Zhang, Ruming
5 Bandrauk, André D.
5 Du, Qiang
5 Fillion-Gourdeau, François
5 Li, Jiyong
5 Markowich, Peter Alexander
5 Tang, Shaoqiang
4 Hu, Jiashun
4 Hwang, Guenbo
4 Klein, Pauline
4 Li, Xianggui
4 Schratz, Katharina
4 Tang, Qinglin
4 Wang, Yan
4 Wu, Xiaonan
4 Zhang, Qian
3 Ehrhardt, Matthias
3 Fokas, Athanassios S.
3 Huang, Zhongyi
3 Jia, Xiaowei
3 Lenells, Jonatan
3 Li, Hongwei
3 Liang, Dong
3 Liu, Keji
3 Luo, Songting
3 Ma, Xiang
3 Noble, Pascal
3 Sparber, Christof
3 Tian, Xiaochuan
3 Vaibhav, Vishal
3 Zhang, Zhiwen
3 Zhou, Zhennan
2 Abounouh, Mostafa
2 Al Moatassime, Hassan
2 Alzubaidi, Hasan
2 Baccouch, Mahboub
2 Baumstark, Simon
2 Bian, Lei
2 Brunner, Hermann
2 Cai, Jiaxiang
2 Chniti, Chokri
2 Decleer, Pieter
2 Delgadillo, Ricardo
2 Destyl, Edès
2 Du, Guangzhi
2 Einkemmer, Lukas
2 Gao, Yijin
2 Geuzaine, Christophe A.
2 Haddar, Houssem
2 Hou, Yanren
2 Hu, Yunxia
2 Huang, Guanghui
2 Ji, Songsong
2 Jiang, Shidong
2 Jüngel, Ansgar
2 Kaouri, Sabah
2 Klein, Christian
2 Kong, Linghua
2 Konschin, Alexander
2 Lechleiter, Armin
2 Li, Buyang
2 Li, Dongfang
2 Li, Shu-Cun
2 Ma, Fuming
2 Ma, Heping
2 Ma, Ying
2 Mayfield, Jay P.
2 Meng, Shixu
2 Mennemann, Jan-Frederik
2 Ostermann, Alexander
2 Poullet, Pascal
2 Residori, Mirko
2 Rogier, Hendrik
2 Shi, Feng
2 Sun, Jiguang
2 Trofimov, Vyacheslav A.
2 Trykin, Evgeny M.
2 van Londersele, Arne
2 Vande Ginste, Dries
2 Wang, Tingchun
2 Wang, Yushun
2 Xu, Yongzhi S.
2 Xu, Zhenli
2 Yan, Jinliang
2 Yang, Xu
2 Yang, Yibo
2 Yin, Dongsheng
2 Yu, Yue
...and 254 more Authors
all top 5

Cited in 70 Serials

48 Journal of Computational Physics
18 Applied Numerical Mathematics
17 Journal of Scientific Computing
14 Journal of Computational and Applied Mathematics
11 Applied Mathematics and Computation
10 SIAM Journal on Scientific Computing
9 Mathematics of Computation
9 Communications in Computational Physics
8 SIAM Journal on Numerical Analysis
7 International Journal of Computer Mathematics
6 Numerische Mathematik
5 Computers & Mathematics with Applications
5 Numerical Methods for Partial Differential Equations
4 Mathematics and Computers in Simulation
3 Computer Physics Communications
3 Physica D
3 Numerical Algorithms
3 Computational and Applied Mathematics
3 Journal of Nonlinear Mathematical Physics
3 Inverse Problems and Imaging
3 Science China. Mathematics
2 Communications in Mathematical Physics
2 Computer Methods in Applied Mechanics and Engineering
2 Inverse Problems
2 Journal of Mathematical Physics
2 Wave Motion
2 BIT
2 Studies in Applied Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Advances in Computational Mathematics
2 Multiscale Modeling & Simulation
2 Frontiers of Mathematics in China
2 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Chaos, Solitons and Fractals
1 Journal of Differential Equations
1 Mathematische Annalen
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Acta Mathematicae Applicatae Sinica. English Series
1 Computational Mechanics
1 Mathematical and Computer Modelling
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Nonlinear Science
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Numerical Linear Algebra with Applications
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Turkish Journal of Mathematics
1 Discrete and Continuous Dynamical Systems
1 Discrete Dynamics in Nature and Society
1 Communications in Nonlinear Science and Numerical Simulation
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Nonlinear Analysis. Real World Applications
1 Discrete and Continuous Dynamical Systems. Series B
1 International Journal of Computational Methods
1 Acta Numerica
1 Advances in Difference Equations
1 International Journal of Numerical Analysis and Modeling
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 International Journal for Numerical Methods in Biomedical Engineering
1 Caspian Journal of Mathematical Sciences
1 Advances in Nonlinear Analysis
1 East Asian Journal on Applied Mathematics
1 International Journal of Partial Differential Equations
1 Research in the Mathematical Sciences
1 Communications on Applied Mathematics and Computation

Citations by Year