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Author ID: cheng.xiaoliang Recent zbMATH articles by "Cheng, Xiaoliang"
Published as: Cheng, Xiaoliang; Cheng, Xiao-Liang; Cheng, Xiao-liang; Cheng, XiaoLiang; Cheng, X. L.; Cheng, X.; Cheng, X.-L.
Documents Indexed: 155 Publications since 1988
Co-Authors: 81 Co-Authors with 133 Joint Publications
1,942 Co-Co-Authors
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Serials

13 International Journal of Computer Mathematics
10 Journal of Computational and Applied Mathematics
8 Journal of Computational Mathematics
6 Applied Mathematics and Computation
6 Journal of Hangzhou University. Natural Science Edition
6 Applied Mathematics. Series B (English Edition)
6 Inverse Problems in Science and Engineering
5 Computers & Mathematics with Applications
5 Mathematica Numerica Sinica
5 Applied Mathematics. Series A (Chinese Edition)
5 Communications in Computational Physics
4 Applied Mathematics Letters
4 Journal of Inverse and Ill-Posed Problems
3 Applicable Analysis
3 Inverse Problems
3 SIAM Journal on Applied Mathematics
2 Computer Methods in Applied Mechanics and Engineering
2 IMA Journal of Numerical Analysis
2 International Journal of Multiphase Flow
2 Journal of Mathematical Analysis and Applications
2 Mathematics of Computation
2 Numerische Mathematik
2 SIAM Journal on Numerical Analysis
2 Applied Mathematics
2 Communications in Numerical Methods in Engineering
2 The Bulletin of the Hong Kong Mathematical Society
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Jilin University. Science Edition
2 International Journal of Numerical Analysis and Modeling
2 Numerical Mathematics: Theory, Methods and Applications
2 Science China. Mathematics
2 East Asian Journal on Applied Mathematics
1 Analysis Mathematica
1 Computer Physics Communications
1 Houston Journal of Mathematics
1 IMA Journal of Applied Mathematics
1 International Journal of Heat and Mass Transfer
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Mathematics and Computers in Simulation
1 Acta Mathematicae Applicatae Sinica
1 Journal of Mathematical Research & Exposition
1 Journal of Northeast Normal University. Natural Science Edition
1 Annals of Global Analysis and Geometry
1 Journal of Systems Science and Mathematical Sciences
1 International Journal of Mathematics
1 The Journal of Geometric Analysis
1 Numerical Algorithms
1 Numerical Mathematics
1 Journal of Mathematical Sciences (New York)
1 Journal of Capital Normal University. Natural Science Edition
1 Mathematics and Mechanics of Solids
1 Journal of Computational Analysis and Applications
1 Communications in Nonlinear Science and Numerical Simulation
1 International Journal of Applied Mathematics
1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics
1 Nonlinear Analysis. Real World Applications
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Communications on Pure and Applied Analysis
1 Journal of Concrete and Applicable Mathematics
1 Systems Engineering and Electronics
1 Inverse Problems and Imaging

Publications by Year

Citations contained in zbMATH Open

90 Publications have been cited 606 times in 473 Documents Cited by Year
Discontinuous Galerkin methods for solving elliptic variational inequalities. Zbl 1214.65039
Wang, Fei; Han, Weimin; Cheng, Xiao-Liang
43
2010
Improvement of some Ostrowski-Grüss type inequalities. Zbl 0980.26011
Cheng, Xiao-Liang
36
2001
Acceleration of a two-grid method for eigenvalue problems. Zbl 1232.65141
Hu, Xiaozhe; Cheng, Xiaoliang
35
2011
Discontinuous Galerkin methods for solving the Signorini problem. Zbl 1315.74021
Wang, Fei; Han, Weimin; Cheng, Xiaoliang
28
2011
A two-grid method based on Newton iteration for the Navier-Stokes equations. Zbl 1142.76030
Dai, Xiaoxia; Cheng, Xiaoliang
25
2008
On the nonlinear inexact Uzawa algorithm for saddle-point problems. Zbl 0960.65032
Cheng, Xiao-liang
20
2000
A note on the perturbed trapezoid inequality. Zbl 0994.26020
Cheng, Xiao-Liang; Sun, Jie
18
2002
A posteriori error estimates for discontinuous Galerkin methods of obstacle problems. Zbl 1304.65163
Wang, Fei; Han, Weimin; Eichholz, Joseph; Cheng, Xiaoliang
17
2015
Some mixed finite element methods for biharmonic equation. Zbl 0973.65098
Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci
17
2000
Discontinuous Galerkin methods for solving a quasistatic contact problem. Zbl 1431.74106
Wang, Fei; Han, Weimin; Cheng, Xiaoliang
16
2014
Rothe method for parabolic variational-hemivariational inequalities. Zbl 1303.65053
Bartosz, Krzysztof; Cheng, Xiaoliang; Kalita, Piotr; Yu, Yuanjie; Zheng, Cong
16
2015
Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains. Zbl 1197.65162
Zhou, Shenggao; Cheng, Xiaoliang
14
2010
The Fourier spectral method for the Cahn-Hilliard equation. Zbl 1093.65099
Ye, Xingde; Cheng, Xiaoliang
14
2005
An algorithm for solving the double obstacle problems. Zbl 1146.74037
Wang, Fei; Cheng, Xiaoliang
13
2008
A linearly semi-implicit compact scheme for the Burgers-Huxley equation. Zbl 1213.65122
Zhou, Shenggao; Cheng, Xiaoliang
12
2011
Dielectric boundary force in molecular solvation with the Poisson-Boltzmann free energy: a shape derivative approach. Zbl 1234.35174
Li, Bo; Cheng, Xiaoliang; Zhang, Zhengfang
12
2011
On the error estimate of finite difference method for the obstacle problem. Zbl 1133.65039
Cheng, Xiao-Liang; Xue, Lian
11
2006
A novel for solving inverse source problems. Zbl 1290.35324
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin; Zheng, Xuan
11
2014
An algorithm for solving the obstacle problems. Zbl 1082.74038
Xue, Lian; Cheng, Xiao-Liang
11
2004
Analysis of the iterative penalty method for the Stokes equations. Zbl 1128.76032
Cheng, Xiao-Liang; Shaikh, Abdul Wasim
11
2006
Analysis of a contact problem with unilateral constraint and slip-dependent friction. Zbl 1370.74115
Barboteu, Mikael; Cheng, Xiao-Liang; Sofonea, Mircea
9
2016
A nonconforming element like Wilson’s for second order problems. Zbl 0850.65214
Jiang, Jinsheng; Cheng, Xiaoliang
9
1992
Numerical solution of the Falkner-Skan equation based on quasilinearization. Zbl 1179.65094
Zhu, Shengfeng; Wu, Qingbiao; Cheng, Xiaoliang
8
2009
The Iyengar-type inequality. Zbl 0987.26008
Cheng, Xiao-Liang
8
2001
A new general mathematical framework for bioluminescence tomography. Zbl 1169.92309
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin
7
2008
Analysis of two quasistatic history-dependent contact models. Zbl 1310.74035
Cheng, Xiaoliang; Migórski, Stanisław; Ochal, Anna; Sofonea, Mircea
6
2014
A theoretical framework of X-ray dark-field tomography. Zbl 1233.35195
Han, Weimin; Eichholz, Joseph A.; Cheng, Xiaoliang; Wang, Ge
6
2011
A coupled complex boundary method for the Cauchy problem. Zbl 1348.65157
Cheng, X. L.; Gong, R. F.; Han, W.
6
2016
Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems. Zbl 0878.73068
Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci
6
1997
Iterative methods for the forward-backward heat equation. Zbl 1080.65072
Cheng, Xiaoliang; Sun, Jie
6
2005
Inexact Uzawa algorithms for variational inequalities of the second kind. Zbl 1033.65045
Cheng, Xiao-liang; Han, Weimin
6
2003
A dynamical regularization algorithm for solving inverse source problems of elliptic partial differential equations. Zbl 1417.65190
Zhang, Ye; Gong, Rongfang; Cheng, Xiaoliang; Gulliksson, Mårten
6
2018
Finite element method for a stationary Stokes hemivariational inequality with slip boundary condition. Zbl 1466.65185
Fang, Changjie; Czuprynski, Kenneth; Han, Weimin; Cheng, Xiaoliang; Dai, Xiaoxia
6
2020
On the optimal harvesting of size-structured population dynamics. Zbl 1299.49027
Liu, Yan; Cheng, Xiaoliang; He, Zerong
5
2013
Modified Numerov’s method for inverse Sturm-Liouville problems. Zbl 1288.65109
Gao, Qin; Cheng, Xiaoliang; Huang, Zhengda
5
2013
A variational binary level set method for structural topology optimization. Zbl 1373.49052
Dai, Xiaoxia; Tang, Peipei; Cheng, Xiaoliang; Wu, Minghui
5
2013
An inexact Uzawa-type iterative method for solving saddle point problems. Zbl 1016.65011
Cheng, Xiao-Liang; Zou, Jun
5
2003
A fast solver for an inverse problem arising in bioluminescence tomography. Zbl 1293.92011
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
4
2014
Kähler submanifolds and the Umehara algebra. Zbl 1367.32015
Cheng, Xiaoliang; Di Scala, Antonio J.; Yuan, Yuan
4
2017
An adjoint method in inverse problems of chromatography. Zbl 1369.65119
Zhang, Y.; Lin, G.; Gulliksson, M.; Forssén, P.; Fornstedt, T.; Cheng, X.
4
2017
A boundary piecewise constant level set method for boundary control of eigenvalue optimization problems. Zbl 1221.65298
Zhang, Zheng-Fang; Cheng, Xiao-Liang
4
2011
A novel approach for studies of multispectral bioluminescence tomography. Zbl 1190.92021
Gong, Rongfang; Wang, Ge; Cheng, Xiaoliang; Han, Weimin
4
2010
A new Kohn-Vogelius type formulation for inverse source problems. Zbl 1332.65157
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin
4
2015
Error estimates for an operator-splitting method for Navier-Stokes equations: second-order schemes. Zbl 1167.76024
Dai, Xiaoxia; Sun, Jie; Cheng, Xiaoliang
4
2009
Inverse source problem for a distributed-order time fractional diffusion equation. Zbl 07173390
Cheng, Xiaoliang; Yuan, Lele; Liang, Kewei
4
2020
Analysis of some mixed elements for the Stokes problem. Zbl 0896.76035
Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci
4
1997
Linear finite element approximations for the Timoshenko beam and the shallow arch problems. Zbl 1016.74065
Cheng, Xiaoliang; Xue, Wei-min
4
2002
A meshless method for solving the free boundary problem associated with unilateral obstacle. Zbl 1242.65126
Yuan, DaMing; Cheng, XiaoLiang
3
2012
On a boundary value method for computing Sturm-Liouville potentials from two spectra. Zbl 1305.34028
Gao, Qin; Cheng, Xiaoliang; Huang, Zhengda
3
2014
A monotonic algorithm for eigenvalue optimization in shape design problems of multi-density inhomogeneous materials. Zbl 1364.65133
Zhang, Zheng-Fang; Liang, Ke-Wei; Cheng, Xiao-Liang
3
2010
Iterative methods for a forward-backward heat equation in two-dimension. Zbl 1224.65209
Sun, Jie; Cheng, Xiaoliang
3
2010
On the stability of biquadratic-bilinear velocity-pressure finite elements. Zbl 0754.76055
Jiang, Jinsheng; Cheng, Xiaoliang
3
1992
Bioluminescence tomography for media with spatially varying refractive index. Zbl 1187.92060
Gong, R. F.; Cheng, X.-L.; Han, W.
3
2010
A numerical investigation of blow-up in reaction-diffusion problems with traveling heat sources. Zbl 1196.65150
Zhu, Hancan; Liang, Kewei; Cheng, Xiaoliang
3
2010
A new coupled complex boundary method for bioluminescence tomography. Zbl 1373.74095
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
3
2016
Greedy algorithms for eigenvalue optimization problems in shape design of two-density inhomogeneous materials. Zbl 1211.65150
Zhang, Zheng-Fang; Liang, Ke-Wei; Cheng, Xiao-Liang
3
2011
Some iterative algorithms for the obstacle problems. Zbl 1204.65077
Lian, Xiao-Peng; Cen, Zhongdi; Cheng, Xiao-Liang
2
2010
CR submanifolds in a sphere and their Gauss maps. Zbl 1267.32012
Cheng, XiaoLiang; Ji, ShanYu; Liu, WeiMing
2
2013
Corrigendum to: “Acceleration of a two-grid method for eigenvalue problems”. Zbl 1321.65164
Hu, Xiaozhe; Cheng, Xiaoliang
2
2015
A numerical approach for defect modes localization in an inhomogeneous medium. Zbl 1300.78013
Gu, Yiqi; Cheng, Xiaoliang
2
2013
The inexact Uzawa algorithm for saddle point problem. Zbl 0955.65024
Cheng, Xiao-Liang
2
2000
A coupled complex boundary expanding compacts method for inverse source problems. Zbl 1411.35287
Zhang, Ye; Gong, Rongfang; Gulliksson, Mårten; Cheng, Xiaoliang
2
2019
A regularization method for the reconstruction of adsorption isotherms in liquid chromatography. Zbl 1388.78017
Zhang, Ye; Lin, Guang-Liang; Forssén, Patrik; Gulliksson, Mårten; Fornstedt, Torgny; Cheng, Xiao-Liang
2
2016
Quadrilateral finite elements for planar linear elasticity problem with large Lamé constant. Zbl 0928.74094
Cheng, Xiaoliang; Huang, Hongci; Zou, Jun
2
1998
Turbulent natural convection coupled with thermal radiation in large vertical channels with asymmetric heating. Zbl 0925.76666
Cheng, X.; Müller, U.
2
1998
Iterative methods for the Poisson equation in \(L\)-shape domain based on domain decomposition method. Zbl 1111.65095
Cheng, Xiao-Liang; Shaikh, Abdul Wasim
2
2006
Linearity and second fundamental forms for proper holomorphic maps from \(\mathbb{B}^{n+1}\) to \(\mathbb{B}^{4n-3}\). Zbl 1257.32036
Cheng, Xiaoliang; Ji, Shanyu
2
2012
A dynamical method for solving the obstacle problem. Zbl 1463.35278
Ran, Qinghua; Cheng, Xiaoliang; Abide, Stephane
2
2020
Numerical analysis of a dynamic contact problem with history-dependent operators. Zbl 1463.65314
Xuan, Hailing; Cheng, Xiaoliang; Han, Weimin; Xiao, Qichang
2
2020
Submanifolds of Cartan-Hartogs domains and complex Euclidean spaces. Zbl 1367.32002
Cheng, Xiaoliang; Niu, Yanyan
2
2017
A regularizing Kohn-Vogelius formulation for the model-free adsorption isotherm estimation problem in chromatography. Zbl 1446.65051
Lin, G.; Zhang, Y.; Cheng, X.; Gulliksson, M.; Forssén, P.; Fornstedt, T.
2
2018
Convergence rate to elliptic variational inequalities of the second kind by relaxation method. Zbl 1065.65086
Xue, Lian; Cheng, Xiao-Liang
2
2004
Algorithms on the sparse solution of under-determined linear systems. Zbl 1299.65066
Cheng, Xiaoliang; Zheng, Xuan; Han, Weimin
1
2013
A modified coupled complex boundary method for an inverse chromatography problem. Zbl 1408.65067
Cheng, Xiaoliang; Lin, Guangliang; Zhang, Ye; Gong, Rongfang; Gulliksson, Mårten
1
2018
An analysis of the reduced integration and penalty method for the Stokes equations. Zbl 0679.76043
Cheng, Xiaoliang
1
1989
A coupled complex boundary method for an inverse conductivity problem with one measurement. Zbl 1370.65065
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
1
2017
A finite difference method for an inverse Sturm-Liouville problem in impedance form. Zbl 1328.65167
Gao, Qin; Huang, Zhengda; Cheng, Xiaoliang
1
2015
A numerical estimation of the piecewise constant Robin coefficient by identifying its discontinuous points. Zbl 1340.65255
Cheng, Xiaoliang; Yu, Yuanjie
1
2015
A general framework for integration of bioluminescence tomography and diffuse optical tomography. Zbl 1308.65188
Han, Weimin; Gong, Rongfang; Cheng, Xiaoliang
1
2014
Numerical analysis of inverse elasticity problem with Signorini’s condition. Zbl 1373.74092
Zheng, Cong; Cheng, Xiaoliang; Liang, Kewei
1
2016
Theoretical analysis and numerical realization of bioluminescence tomography. Zbl 1190.92020
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
1
2010
Legendre collocation approximation for Cahn-Hilliard equation. Zbl 1032.65115
Ye, Xingde; Cheng, Xiaoliang
1
2002
A penalty method for the stationary Stokes equations. Zbl 0695.76021
Cheng, Xiaoliang
1
1988
Mappings between balls with geometric and degeneracy rank two. Zbl 1427.32013
Cheng, Xiaoliang; Ji, Shanyu; Yin, Wanke
1
2019
Experimental studies on critical heat flux in vertical tight 37-rod bundles using freon-12. Zbl 1135.76384
Cheng, X.
1
2005
Error estimate for quasistatic history-dependent contact model. Zbl 1442.74140
Cheng, Xiaoliang; Xiao, Qichang; Migórski, Stanisław; Ochal, Anna
1
2019
Compactness of Hankel operator with symbols of forms. Zbl 1474.32052
Cheng, X.; Jin, M.; Wang, Q.
1
2020
A parametric level set based collage method for an inverse problem in elliptic partial differential equations. Zbl 1432.65162
Lin, Guangliang; Cheng, Xiaoliang; Zhang, Ye
1
2018
A simple finite element method for the Reissner-Mindlin plate. Zbl 0792.73075
Cheng, Xiaoliang
1
1994
Numerical analysis and simulation of an adhesive contact problem with damage and long memory. Zbl 1476.65197
Xuan, Hailing; Cheng, Xiaoliang
1
2021
Numerical analysis and simulation of an adhesive contact problem with damage and long memory. Zbl 1476.65197
Xuan, Hailing; Cheng, Xiaoliang
1
2021
Finite element method for a stationary Stokes hemivariational inequality with slip boundary condition. Zbl 1466.65185
Fang, Changjie; Czuprynski, Kenneth; Han, Weimin; Cheng, Xiaoliang; Dai, Xiaoxia
6
2020
Inverse source problem for a distributed-order time fractional diffusion equation. Zbl 07173390
Cheng, Xiaoliang; Yuan, Lele; Liang, Kewei
4
2020
A dynamical method for solving the obstacle problem. Zbl 1463.35278
Ran, Qinghua; Cheng, Xiaoliang; Abide, Stephane
2
2020
Numerical analysis of a dynamic contact problem with history-dependent operators. Zbl 1463.65314
Xuan, Hailing; Cheng, Xiaoliang; Han, Weimin; Xiao, Qichang
2
2020
Compactness of Hankel operator with symbols of forms. Zbl 1474.32052
Cheng, X.; Jin, M.; Wang, Q.
1
2020
A coupled complex boundary expanding compacts method for inverse source problems. Zbl 1411.35287
Zhang, Ye; Gong, Rongfang; Gulliksson, Mårten; Cheng, Xiaoliang
2
2019
Mappings between balls with geometric and degeneracy rank two. Zbl 1427.32013
Cheng, Xiaoliang; Ji, Shanyu; Yin, Wanke
1
2019
Error estimate for quasistatic history-dependent contact model. Zbl 1442.74140
Cheng, Xiaoliang; Xiao, Qichang; Migórski, Stanisław; Ochal, Anna
1
2019
A dynamical regularization algorithm for solving inverse source problems of elliptic partial differential equations. Zbl 1417.65190
Zhang, Ye; Gong, Rongfang; Cheng, Xiaoliang; Gulliksson, Mårten
6
2018
A regularizing Kohn-Vogelius formulation for the model-free adsorption isotherm estimation problem in chromatography. Zbl 1446.65051
Lin, G.; Zhang, Y.; Cheng, X.; Gulliksson, M.; Forssén, P.; Fornstedt, T.
2
2018
A modified coupled complex boundary method for an inverse chromatography problem. Zbl 1408.65067
Cheng, Xiaoliang; Lin, Guangliang; Zhang, Ye; Gong, Rongfang; Gulliksson, Mårten
1
2018
A parametric level set based collage method for an inverse problem in elliptic partial differential equations. Zbl 1432.65162
Lin, Guangliang; Cheng, Xiaoliang; Zhang, Ye
1
2018
Kähler submanifolds and the Umehara algebra. Zbl 1367.32015
Cheng, Xiaoliang; Di Scala, Antonio J.; Yuan, Yuan
4
2017
An adjoint method in inverse problems of chromatography. Zbl 1369.65119
Zhang, Y.; Lin, G.; Gulliksson, M.; Forssén, P.; Fornstedt, T.; Cheng, X.
4
2017
Submanifolds of Cartan-Hartogs domains and complex Euclidean spaces. Zbl 1367.32002
Cheng, Xiaoliang; Niu, Yanyan
2
2017
A coupled complex boundary method for an inverse conductivity problem with one measurement. Zbl 1370.65065
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
1
2017
Analysis of a contact problem with unilateral constraint and slip-dependent friction. Zbl 1370.74115
Barboteu, Mikael; Cheng, Xiao-Liang; Sofonea, Mircea
9
2016
A coupled complex boundary method for the Cauchy problem. Zbl 1348.65157
Cheng, X. L.; Gong, R. F.; Han, W.
6
2016
A new coupled complex boundary method for bioluminescence tomography. Zbl 1373.74095
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
3
2016
A regularization method for the reconstruction of adsorption isotherms in liquid chromatography. Zbl 1388.78017
Zhang, Ye; Lin, Guang-Liang; Forssén, Patrik; Gulliksson, Mårten; Fornstedt, Torgny; Cheng, Xiao-Liang
2
2016
Numerical analysis of inverse elasticity problem with Signorini’s condition. Zbl 1373.74092
Zheng, Cong; Cheng, Xiaoliang; Liang, Kewei
1
2016
A posteriori error estimates for discontinuous Galerkin methods of obstacle problems. Zbl 1304.65163
Wang, Fei; Han, Weimin; Eichholz, Joseph; Cheng, Xiaoliang
17
2015
Rothe method for parabolic variational-hemivariational inequalities. Zbl 1303.65053
Bartosz, Krzysztof; Cheng, Xiaoliang; Kalita, Piotr; Yu, Yuanjie; Zheng, Cong
16
2015
A new Kohn-Vogelius type formulation for inverse source problems. Zbl 1332.65157
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin
4
2015
Corrigendum to: “Acceleration of a two-grid method for eigenvalue problems”. Zbl 1321.65164
Hu, Xiaozhe; Cheng, Xiaoliang
2
2015
A finite difference method for an inverse Sturm-Liouville problem in impedance form. Zbl 1328.65167
Gao, Qin; Huang, Zhengda; Cheng, Xiaoliang
1
2015
A numerical estimation of the piecewise constant Robin coefficient by identifying its discontinuous points. Zbl 1340.65255
Cheng, Xiaoliang; Yu, Yuanjie
1
2015
Discontinuous Galerkin methods for solving a quasistatic contact problem. Zbl 1431.74106
Wang, Fei; Han, Weimin; Cheng, Xiaoliang
16
2014
A novel for solving inverse source problems. Zbl 1290.35324
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin; Zheng, Xuan
11
2014
Analysis of two quasistatic history-dependent contact models. Zbl 1310.74035
Cheng, Xiaoliang; Migórski, Stanisław; Ochal, Anna; Sofonea, Mircea
6
2014
A fast solver for an inverse problem arising in bioluminescence tomography. Zbl 1293.92011
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
4
2014
On a boundary value method for computing Sturm-Liouville potentials from two spectra. Zbl 1305.34028
Gao, Qin; Cheng, Xiaoliang; Huang, Zhengda
3
2014
A general framework for integration of bioluminescence tomography and diffuse optical tomography. Zbl 1308.65188
Han, Weimin; Gong, Rongfang; Cheng, Xiaoliang
1
2014
On the optimal harvesting of size-structured population dynamics. Zbl 1299.49027
Liu, Yan; Cheng, Xiaoliang; He, Zerong
5
2013
Modified Numerov’s method for inverse Sturm-Liouville problems. Zbl 1288.65109
Gao, Qin; Cheng, Xiaoliang; Huang, Zhengda
5
2013
A variational binary level set method for structural topology optimization. Zbl 1373.49052
Dai, Xiaoxia; Tang, Peipei; Cheng, Xiaoliang; Wu, Minghui
5
2013
CR submanifolds in a sphere and their Gauss maps. Zbl 1267.32012
Cheng, XiaoLiang; Ji, ShanYu; Liu, WeiMing
2
2013
A numerical approach for defect modes localization in an inhomogeneous medium. Zbl 1300.78013
Gu, Yiqi; Cheng, Xiaoliang
2
2013
Algorithms on the sparse solution of under-determined linear systems. Zbl 1299.65066
Cheng, Xiaoliang; Zheng, Xuan; Han, Weimin
1
2013
A meshless method for solving the free boundary problem associated with unilateral obstacle. Zbl 1242.65126
Yuan, DaMing; Cheng, XiaoLiang
3
2012
Linearity and second fundamental forms for proper holomorphic maps from \(\mathbb{B}^{n+1}\) to \(\mathbb{B}^{4n-3}\). Zbl 1257.32036
Cheng, Xiaoliang; Ji, Shanyu
2
2012
Acceleration of a two-grid method for eigenvalue problems. Zbl 1232.65141
Hu, Xiaozhe; Cheng, Xiaoliang
35
2011
Discontinuous Galerkin methods for solving the Signorini problem. Zbl 1315.74021
Wang, Fei; Han, Weimin; Cheng, Xiaoliang
28
2011
A linearly semi-implicit compact scheme for the Burgers-Huxley equation. Zbl 1213.65122
Zhou, Shenggao; Cheng, Xiaoliang
12
2011
Dielectric boundary force in molecular solvation with the Poisson-Boltzmann free energy: a shape derivative approach. Zbl 1234.35174
Li, Bo; Cheng, Xiaoliang; Zhang, Zhengfang
12
2011
A theoretical framework of X-ray dark-field tomography. Zbl 1233.35195
Han, Weimin; Eichholz, Joseph A.; Cheng, Xiaoliang; Wang, Ge
6
2011
A boundary piecewise constant level set method for boundary control of eigenvalue optimization problems. Zbl 1221.65298
Zhang, Zheng-Fang; Cheng, Xiao-Liang
4
2011
Greedy algorithms for eigenvalue optimization problems in shape design of two-density inhomogeneous materials. Zbl 1211.65150
Zhang, Zheng-Fang; Liang, Ke-Wei; Cheng, Xiao-Liang
3
2011
Discontinuous Galerkin methods for solving elliptic variational inequalities. Zbl 1214.65039
Wang, Fei; Han, Weimin; Cheng, Xiao-Liang
43
2010
Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains. Zbl 1197.65162
Zhou, Shenggao; Cheng, Xiaoliang
14
2010
A novel approach for studies of multispectral bioluminescence tomography. Zbl 1190.92021
Gong, Rongfang; Wang, Ge; Cheng, Xiaoliang; Han, Weimin
4
2010
A monotonic algorithm for eigenvalue optimization in shape design problems of multi-density inhomogeneous materials. Zbl 1364.65133
Zhang, Zheng-Fang; Liang, Ke-Wei; Cheng, Xiao-Liang
3
2010
Iterative methods for a forward-backward heat equation in two-dimension. Zbl 1224.65209
Sun, Jie; Cheng, Xiaoliang
3
2010
Bioluminescence tomography for media with spatially varying refractive index. Zbl 1187.92060
Gong, R. F.; Cheng, X.-L.; Han, W.
3
2010
A numerical investigation of blow-up in reaction-diffusion problems with traveling heat sources. Zbl 1196.65150
Zhu, Hancan; Liang, Kewei; Cheng, Xiaoliang
3
2010
Some iterative algorithms for the obstacle problems. Zbl 1204.65077
Lian, Xiao-Peng; Cen, Zhongdi; Cheng, Xiao-Liang
2
2010
Theoretical analysis and numerical realization of bioluminescence tomography. Zbl 1190.92020
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
1
2010
Numerical solution of the Falkner-Skan equation based on quasilinearization. Zbl 1179.65094
Zhu, Shengfeng; Wu, Qingbiao; Cheng, Xiaoliang
8
2009
Error estimates for an operator-splitting method for Navier-Stokes equations: second-order schemes. Zbl 1167.76024
Dai, Xiaoxia; Sun, Jie; Cheng, Xiaoliang
4
2009
A two-grid method based on Newton iteration for the Navier-Stokes equations. Zbl 1142.76030
Dai, Xiaoxia; Cheng, Xiaoliang
25
2008
An algorithm for solving the double obstacle problems. Zbl 1146.74037
Wang, Fei; Cheng, Xiaoliang
13
2008
A new general mathematical framework for bioluminescence tomography. Zbl 1169.92309
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin
7
2008
On the error estimate of finite difference method for the obstacle problem. Zbl 1133.65039
Cheng, Xiao-Liang; Xue, Lian
11
2006
Analysis of the iterative penalty method for the Stokes equations. Zbl 1128.76032
Cheng, Xiao-Liang; Shaikh, Abdul Wasim
11
2006
Iterative methods for the Poisson equation in \(L\)-shape domain based on domain decomposition method. Zbl 1111.65095
Cheng, Xiao-Liang; Shaikh, Abdul Wasim
2
2006
The Fourier spectral method for the Cahn-Hilliard equation. Zbl 1093.65099
Ye, Xingde; Cheng, Xiaoliang
14
2005
Iterative methods for the forward-backward heat equation. Zbl 1080.65072
Cheng, Xiaoliang; Sun, Jie
6
2005
Experimental studies on critical heat flux in vertical tight 37-rod bundles using freon-12. Zbl 1135.76384
Cheng, X.
1
2005
An algorithm for solving the obstacle problems. Zbl 1082.74038
Xue, Lian; Cheng, Xiao-Liang
11
2004
Convergence rate to elliptic variational inequalities of the second kind by relaxation method. Zbl 1065.65086
Xue, Lian; Cheng, Xiao-Liang
2
2004
Inexact Uzawa algorithms for variational inequalities of the second kind. Zbl 1033.65045
Cheng, Xiao-liang; Han, Weimin
6
2003
An inexact Uzawa-type iterative method for solving saddle point problems. Zbl 1016.65011
Cheng, Xiao-Liang; Zou, Jun
5
2003
A note on the perturbed trapezoid inequality. Zbl 0994.26020
Cheng, Xiao-Liang; Sun, Jie
18
2002
Linear finite element approximations for the Timoshenko beam and the shallow arch problems. Zbl 1016.74065
Cheng, Xiaoliang; Xue, Wei-min
4
2002
Legendre collocation approximation for Cahn-Hilliard equation. Zbl 1032.65115
Ye, Xingde; Cheng, Xiaoliang
1
2002
Improvement of some Ostrowski-Grüss type inequalities. Zbl 0980.26011
Cheng, Xiao-Liang
36
2001
The Iyengar-type inequality. Zbl 0987.26008
Cheng, Xiao-Liang
8
2001
On the nonlinear inexact Uzawa algorithm for saddle-point problems. Zbl 0960.65032
Cheng, Xiao-liang
20
2000
Some mixed finite element methods for biharmonic equation. Zbl 0973.65098
Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci
17
2000
The inexact Uzawa algorithm for saddle point problem. Zbl 0955.65024
Cheng, Xiao-Liang
2
2000
Quadrilateral finite elements for planar linear elasticity problem with large Lamé constant. Zbl 0928.74094
Cheng, Xiaoliang; Huang, Hongci; Zou, Jun
2
1998
Turbulent natural convection coupled with thermal radiation in large vertical channels with asymmetric heating. Zbl 0925.76666
Cheng, X.; Müller, U.
2
1998
Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems. Zbl 0878.73068
Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci
6
1997
Analysis of some mixed elements for the Stokes problem. Zbl 0896.76035
Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci
4
1997
A simple finite element method for the Reissner-Mindlin plate. Zbl 0792.73075
Cheng, Xiaoliang
1
1994
A nonconforming element like Wilson’s for second order problems. Zbl 0850.65214
Jiang, Jinsheng; Cheng, Xiaoliang
9
1992
On the stability of biquadratic-bilinear velocity-pressure finite elements. Zbl 0754.76055
Jiang, Jinsheng; Cheng, Xiaoliang
3
1992
An analysis of the reduced integration and penalty method for the Stokes equations. Zbl 0679.76043
Cheng, Xiaoliang
1
1989
A penalty method for the stationary Stokes equations. Zbl 0695.76021
Cheng, Xiaoliang
1
1988
all top 5

Cited by 651 Authors

44 Cheng, Xiaoliang
40 Han, Weimin
14 Dragomir, Sever Silvestru
14 Gong, Rongfang
10 Sofonea, Mircea
8 Shi, Dongyang
7 Gudi, Thirupathi
7 Migórski, Stanisław
7 Xie, Hehu
7 Zhang, Ye
6 Bartosz, Krzysztof
6 Feng, Qinghua
6 Li, Bo
6 Lin, Yiqin
6 Yang, Yidu
6 Zhang, Zhengfang
6 Zheng, Bin
5 An, Rong
5 Bi, Hai
5 Cen, Zhongdi
5 Gulliksson, Mårten E.
5 Jing, Feifei
5 Li, Xiaolin
5 Porwal, Kamana
5 Ujević, Nenad
5 Zhang, Shougui
4 Banei, Siamak
4 Chakib, Abdelkrim
4 Chen, Yanping
4 Han, Danfu
4 Hu, Xianliang
4 Hu, Xiaozhe
4 Lamichhane, Bishnu Prasad
4 Liang, Kewei
4 Meng, Fanwei
4 Mu, Lin
4 Nachaoui, Abdeljalil
4 Ngô Quốc Anh
4 Shanazari, Kamal
4 Shao, Xinping
4 Xuan, Hailing
3 Arakelyan, Avetik
3 Barboteu, Mikaël
3 Bi, Bo
3 Cerone, Pietro
3 Chen, Weifeng
3 Dai, Xiaoxia
3 Dehghan Takht Fooladi, Mehdi
3 Feng, Xinlong
3 Gaddam, Sharat
3 Han, Bo
3 Han, Jiayu
3 He, Limin
3 Huang, Pengzhan
3 Huang, Zhengda
3 Le, Anbo
3 Li, Fule
3 Lin, Guangliang
3 Ling, Min
3 Lu, Junfeng
3 Ma, Changfeng
3 Masjed-Jamei, Mohammad
3 Nachaoui, Mourad
3 Niezgoda, Marek
3 Ogorzały, Justyna
3 Ouaissa, Hamid
3 Shaikh, Abdul Wasim
3 Shang, Yueqiang
3 Tang, Jinping
3 Touzaline, Arezki
3 Wang, Cheng
3 Wang, Wansheng
3 Weng, Zhifeng
3 Xiao, Qichang
3 Xu, Aimin
3 Yan, Wenjing
3 Yuan, Daming
3 Zhang, Shuo
3 Zhang, Yaoming
3 Zhang, Yongchao
3 Zhao, Yanmin
3 Zheng, Xuan
3 Zhong, Liuqiang
3 Zhou, Jianwei
3 Zhou, Shenggao
3 Zhu, Shengfeng
2 Akbarpoor, Shahrbanoo
2 Al-saedi, Ahmed Eid Salem
2 Anastassiou, George Angelos
2 Armentano, María Gabriela
2 Bajpai, Saumya
2 Barkhudaryan, Rafayel H.
2 Bourgault, Yves
2 Cai, Mingchao
2 Cao, Yang
2 Chen, Duan
2 Chen, Jinru
2 Chen, Luoping
2 Cong, Wenxiang
2 Danan, David
...and 551 more Authors
all top 5

Cited in 143 Serials

36 Applied Mathematics and Computation
35 Computers & Mathematics with Applications
30 Journal of Computational and Applied Mathematics
16 International Journal of Computer Mathematics
13 Applied Mathematics Letters
13 Journal of Scientific Computing
12 Numerical Algorithms
11 Applicable Analysis
11 Journal of Computational Physics
11 Applied Numerical Mathematics
11 Numerical Methods for Partial Differential Equations
10 Computer Methods in Applied Mechanics and Engineering
8 Communications in Nonlinear Science and Numerical Simulation
7 Journal of Inequalities and Applications
7 Inverse Problems in Science and Engineering
6 Mathematics of Computation
6 Computational and Applied Mathematics
6 Advances in Applied Mathematics and Mechanics
5 Journal of Mathematical Analysis and Applications
5 BIT
5 Numerische Mathematik
5 SIAM Journal on Numerical Analysis
5 Acta Mathematicae Applicatae Sinica. English Series
5 Applied Mathematics. Series B (English Edition)
5 Mathematical Problems in Engineering
5 Abstract and Applied Analysis
5 Nonlinear Analysis. Real World Applications
4 Inverse Problems
4 SIAM Journal on Applied Mathematics
4 SIAM Journal on Scientific Computing
4 Engineering Analysis with Boundary Elements
4 Mediterranean Journal of Mathematics
4 Advances in Difference Equations
3 Journal of Engineering Mathematics
3 Numerical Functional Analysis and Optimization
3 Applied Mathematical Modelling
3 Journal of Inverse and Ill-Posed Problems
3 Advances in Computational Mathematics
3 Computational Methods in Applied Mathematics
3 Journal of Applied Mathematics
3 Computational & Mathematical Methods in Medicine
3 Communications in Computational Physics
2 Computers and Fluids
2 Rocky Mountain Journal of Mathematics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Applied Mathematics and Mechanics. (English Edition)
2 Bulletin of the Iranian Mathematical Society
2 Applications of Mathematics
2 Journal of Global Optimization
2 Applicationes Mathematicae
2 Journal of Difference Equations and Applications
2 Mathematical Modelling and Analysis
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Numerical Mathematics
2 Journal of Applied Mathematics and Computing
2 International Journal of Numerical Analysis and Modeling
2 Boundary Value Problems
2 Inverse Problems and Imaging
2 Science China. Mathematics
2 Problemy Analiza. Issues of Analysis
2 East Asian Journal on Applied Mathematics
2 Open Mathematics
2 Electronic Research Archive
2 Fixed Point Theory and Algorithms for Sciences and Engineering
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Mathematical Methods in the Applied Sciences
1 Ukrainian Mathematical Journal
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Applied Mathematics and Optimization
1 Calcolo
1 Commentationes Mathematicae Universitatis Carolinae
1 Computing
1 Geometriae Dedicata
1 Information Sciences
1 Integral Equations and Operator Theory
1 Journal of the Korean Mathematical Society
1 Journal of Optimization Theory and Applications
1 Le Matematiche
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Transactions of the American Mathematical Society
1 Acta Applicandae Mathematicae
1 Annals of Global Analysis and Geometry
1 Computer Aided Geometric Design
1 Optimization
1 The Journal of Geometric Analysis
1 Computational Mathematics and Mathematical Physics
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Aequationes Mathematicae
1 Journal of Elasticity
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Journal of Nonlinear Science
1 Cybernetics and Systems Analysis
...and 43 more Serials
all top 5

Cited in 34 Fields

335 Numerical analysis (65-XX)
171 Partial differential equations (35-XX)
79 Mechanics of deformable solids (74-XX)
70 Calculus of variations and optimal control; optimization (49-XX)
62 Fluid mechanics (76-XX)
55 Real functions (26-XX)
34 Operator theory (47-XX)
25 Biology and other natural sciences (92-XX)
18 Ordinary differential equations (34-XX)
14 Approximations and expansions (41-XX)
9 Optics, electromagnetic theory (78-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Potential theory (31-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Operations research, mathematical programming (90-XX)
6 Probability theory and stochastic processes (60-XX)
5 Integral equations (45-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Systems theory; control (93-XX)
4 Information and communication theory, circuits (94-XX)
3 Differential geometry (53-XX)
2 Integral transforms, operational calculus (44-XX)
2 Functional analysis (46-XX)
2 Quantum theory (81-XX)
2 Astronomy and astrophysics (85-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Functions of a complex variable (30-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Difference and functional equations (39-XX)
1 General topology (54-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)

Citations by Year