# zbMATH — the first resource for mathematics

## Cheng, Xiaoliang

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 Author ID: cheng.xiaoliang Published as: Cheng, X.; Cheng, X. L.; Cheng, X.-L.; Cheng, Xiao-Liang; Cheng, Xiao-liang; Cheng, XiaoLiang; Cheng, Xiaoliang
 Documents Indexed: 144 Publications since 1988
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#### Co-Authors

 14 single-authored 28 Han, Weimin 19 Gong, Rongfang 10 Jiang, Jinsheng 8 Liang, Kewei 7 Zhang, Ye 6 Gulliksson, Mårten E. 5 Dai, Xiaoxia 5 Huang, Hongci 5 Lin, Guangliang 5 Ye, Xingde 5 Zhang, Zhengfang 4 Gao, Qin 4 Huang, Zhengda 4 Sun, Jie 4 Wang, Fei 3 Eichholz, Joseph A. 3 Fornstedt, Torgny 3 Forssén, Patrik 3 Ji, Shanyu 3 Xu, Jingbo 3 Xue, Lian 3 Yu, Yuanjie 3 Yuan, Daming 3 Yuan, Lele 3 Zheng, Cong 3 Zheng, Xuan 3 Zou, Jun 2 Chen, Liang 2 Hu, Xiaozhe 2 Lian, Xiaopeng 2 Liu, Qing 2 Migórski, Stanisław 2 Ochal, Anna 2 Shaikh, Abdul Wasim 2 Sofonea, Mircea 2 Wang, Ge 2 Xiao, Qichang 2 Zhou, Shenggao 1 Abide, Stéphane 1 Barboteu, Mikaël 1 Bartosz, Krzysztof 1 Cen, Zhongdi 1 Chan, Chi-Kang 1 Chen, Weifeng 1 Czuprynski, Kenneth 1 Di Scala, Antonio Jose 1 Fang, Changjie 1 Gu, Yiqi 1 He, Zerong 1 Huang, Duo 1 Jin, Qinian 1 Kalita, Piotr 1 Li, Bo 1 Liu, Fei 1 Liu, Lu 1 Liu, Weiming 1 Liu, Yan 1 Meng, Bingquan 1 Niu, Yanyan 1 Peng, Wuan 1 Ran, Qinghua 1 Su, Xiaoming 1 Sun, Aihui 1 Tang, Peipei 1 Wang, Fei 1 Wang, Qianyun 1 Wu, Minghui 1 Wu, Qingbiao 1 Wu, Xiulan 1 Wu, Zhongtang 1 Xu, Yuanji 1 Xuan, Hailing 1 Xue, Weimin 1 Ye, Haifeng 1 Yin, Wanke 1 Ying, Weiting 1 Yu, Peijia 1 Yuan, Yuan 1 Zhang, Qingling 1 Zhang, Xu 1 Zhu, Hancan 1 Zhu, Shengfeng
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#### Serials

 11 International Journal of Computer Mathematics 9 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 Communications in Computational Physics 4 Applied Mathematics Letters 4 Applied Mathematics. Series A (Chinese Edition) 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 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 Journal of Jilin University. Science Edition 2 Numerical Mathematics: Theory, Methods and Applications 2 Science China. Mathematics 1 Houston Journal of Mathematics 1 IMA Journal of Applied Mathematics 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 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 Capital Normal University. Natural Science Edition 1 Mathematics and Mechanics of Solids 1 Journal of Computational Analysis and Applications 1 International Journal of Applied Mathematics 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Concrete and Applicable Mathematics 1 Systems Engineering and Electronics 1 Inverse Problems and Imaging
all top 5

#### Fields

 91 Numerical analysis (65-XX) 45 Partial differential equations (35-XX) 24 Fluid mechanics (76-XX) 23 Mechanics of deformable solids (74-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 13 Biology and other natural sciences (92-XX) 9 Ordinary differential equations (34-XX) 6 Several complex variables and analytic spaces (32-XX) 4 Operator theory (47-XX) 4 Optics, electromagnetic theory (78-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Operations research, mathematical programming (90-XX) 2 Differential geometry (53-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

83 Publications have been cited 492 times in 401 Documents Cited by Year
Improvement of some Ostrowski-Grüss type inequalities. Zbl 0980.26011
Cheng, Xiao-Liang
2001
Discontinuous Galerkin methods for solving elliptic variational inequalities. Zbl 1214.65039
Wang, Fei; Han, Weimin; Cheng, Xiao-Liang
2010
Acceleration of a two-grid method for eigenvalue problems. Zbl 1232.65141
Hu, Xiaozhe; Cheng, Xiaoliang
2011
Discontinuous Galerkin methods for solving the Signorini problem. Zbl 1315.74021
Wang, Fei; Han, Weimin; Cheng, Xiaoliang
2011
A two-grid method based on Newton iteration for the Navier-Stokes equations. Zbl 1142.76030
Dai, Xiaoxia; Cheng, Xiaoliang
2008
On the nonlinear inexact Uzawa algorithm for saddle-point problems. Zbl 0960.65032
Cheng, Xiao-liang
2000
A note on the perturbed trapezoid inequality. Zbl 0994.26020
Cheng, Xiao-Liang; Sun, Jie
2002
The Fourier spectral method for the Cahn-Hilliard equation. Zbl 1093.65099
Ye, Xingde; Cheng, Xiaoliang
2005
Some mixed finite element methods for biharmonic equation. Zbl 0973.65098
Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci
2000
A posteriori error estimates for discontinuous Galerkin methods of obstacle problems. Zbl 1304.65163
Wang, Fei; Han, Weimin; Eichholz, Joseph; Cheng, Xiaoliang
2015
Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains. Zbl 1197.65162
Zhou, Shenggao; Cheng, Xiaoliang
2010
An algorithm for solving the double obstacle problems. Zbl 1146.74037
Wang, Fei; Cheng, Xiaoliang
2008
A linearly semi-implicit compact scheme for the Burgers-Huxley equation. Zbl 1213.65122
Zhou, Shenggao; Cheng, Xiaoliang
2011
Analysis of the iterative penalty method for the Stokes equations. Zbl 1128.76032
Cheng, Xiao-Liang; Shaikh, Abdul Wasim
2006
Analysis of a contact problem with unilateral constraint and slip-dependent friction. Zbl 1370.74115
Barboteu, Mikael; Cheng, Xiao-Liang; Sofonea, Mircea
2016
Rothe method for parabolic variational-hemivariational inequalities. Zbl 1303.65053
Bartosz, Krzysztof; Cheng, Xiaoliang; Kalita, Piotr; Yu, Yuanjie; Zheng, Cong
2015
Discontinuous Galerkin methods for solving a quasistatic contact problem. Zbl 1431.74106
Wang, Fei; Han, Weimin; Cheng, Xiaoliang
2014
On the error estimate of finite difference method for the obstacle problem. Zbl 1133.65039
Cheng, Xiao-Liang; Xue, Lian
2006
A novel for solving inverse source problems. Zbl 1290.35324
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin; Zheng, Xuan
2014
An algorithm for solving the obstacle problems. Zbl 1082.74038
Xue, Lian; Cheng, Xiao-Liang
2004
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
2011
The Iyengar-type inequality. Zbl 0987.26008
Cheng, Xiao-Liang
2001
A nonconforming element like Wilson’s for second order problems. Zbl 0850.65214
Jiang, Jinsheng; Cheng, Xiaoliang
1992
A theoretical framework of X-ray dark-field tomography. Zbl 1233.35195
Han, Weimin; Eichholz, Joseph A.; Cheng, Xiaoliang; Wang, Ge
2011
Numerical solution of the Falkner-Skan equation based on quasilinearization. Zbl 1179.65094
Zhu, Shengfeng; Wu, Qingbiao; Cheng, Xiaoliang
2009
A new general mathematical framework for bioluminescence tomography. Zbl 1169.92309
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin
2008
Inexact Uzawa algorithms for variational inequalities of the second kind. Zbl 1033.65045
Cheng, Xiao-liang; Han, Weimin
2003
Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems. Zbl 0878.73068
Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci
1997
An inexact Uzawa-type iterative method for solving saddle point problems. Zbl 1016.65011
Cheng, Xiao-Liang; Zou, Jun
2003
Analysis of two quasistatic history-dependent contact models. Zbl 1310.74035
Cheng, Xiaoliang; Migórski, Stanisław; Ochal, Anna; Sofonea, Mircea
2014
Modified Numerov’s method for inverse Sturm-Liouville problems. Zbl 1288.65109
Gao, Qin; Cheng, Xiaoliang; Huang, Zhengda
2013
On the optimal harvesting of size-structured population dynamics. Zbl 1299.49027
Liu, Yan; Cheng, Xiaoliang; He, Zerong
2013
A novel approach for studies of multispectral bioluminescence tomography. Zbl 1190.92021
Gong, Rongfang; Wang, Ge; Cheng, Xiaoliang; Han, Weimin
2010
Iterative methods for the forward-backward heat equation. Zbl 1080.65072
Cheng, Xiaoliang; Sun, Jie
2005
Linear finite element approximations for the Timoshenko beam and the shallow arch problems. Zbl 1016.74065
Cheng, Xiaoliang; Xue, Wei-min
2002
Analysis of some mixed elements for the Stokes problem. Zbl 0896.76035
Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci
1997
An adjoint method in inverse problems of chromatography. Zbl 1369.65119
Zhang, Y.; Lin, G.; Gulliksson, M.; Forssén, P.; Fornstedt, T.; Cheng, X.
2017
Kähler submanifolds and the Umehara algebra. Zbl 1367.32015
Cheng, Xiaoliang; Di Scala, Antonio J.; Yuan, Yuan
2017
On a class of projective Ricci flat Finsler metrics. Zbl 1399.53029
Cheng, X.; Shen, Y.; Ma, X.
2017
A coupled complex boundary method for the Cauchy problem. Zbl 1348.65157
Cheng, X. L.; Gong, R. F.; Han, W.
2016
On a boundary value method for computing Sturm-Liouville potentials from two spectra. Zbl 1305.34028
Gao, Qin; Cheng, Xiaoliang; Huang, Zhengda
2014
A variational binary level set method for structural topology optimization. Zbl 1373.49052
Dai, Xiaoxia; Tang, Peipei; Cheng, Xiaoliang; Wu, Minghui
2013
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
2011
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
2010
A numerical investigation of blow-up in reaction-diffusion problems with traveling heat sources. Zbl 1196.65150
Zhu, Hancan; Liang, Kewei; Cheng, Xiaoliang
2010
Bioluminescence tomography for media with spatially varying refractive index. Zbl 1187.92060
Gong, R. F.; Cheng, X.-L.; Han, W.
2010
Error estimates for an operator-splitting method for Navier-Stokes equations: second-order schemes. Zbl 1167.76024
Dai, Xiaoxia; Sun, Jie; Cheng, Xiaoliang
2009
On the stability of biquadratic-bilinear velocity-pressure finite elements. Zbl 0754.76055
Jiang, Jinsheng; Cheng, Xiaoliang
1992
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
2018
A new coupled complex boundary method for bioluminescence tomography. Zbl 1373.74095
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
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
2016
A new Kohn-Vogelius type formulation for inverse source problems. Zbl 1332.65157
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin
2015
Corrigendum to: “Acceleration of a two-grid method for eigenvalue problems”. Zbl 1321.65164
Hu, Xiaozhe; Cheng, Xiaoliang
2015
A fast solver for an inverse problem arising in bioluminescence tomography. Zbl 1293.92011
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
2014
A numerical approach for defect modes localization in an inhomogeneous medium. Zbl 1300.78013
Gu, Yiqi; Cheng, Xiaoliang
2013
CR submanifolds in a sphere and their Gauss maps. Zbl 1267.32012
Cheng, XiaoLiang; Ji, ShanYu; Liu, WeiMing
2013
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
2012
A meshless method for solving the free boundary problem associated with unilateral obstacle. Zbl 1242.65126
Yuan, DaMing; Cheng, XiaoLiang
2012
A boundary piecewise constant level set method for boundary control of eigenvalue optimization problems. Zbl 1221.65298
Zhang, Zheng-Fang; Cheng, Xiao-Liang
2011
Iterative methods for a forward-backward heat equation in two-dimension. Zbl 1224.65209
Sun, Jie; Cheng, Xiaoliang
2010
Iterative methods for the Poisson equation in $$L$$-shape domain based on domain decomposition method. Zbl 1111.65095
Cheng, Xiao-Liang; Shaikh, Abdul Wasim
2006
Convergence rate to elliptic variational inequalities of the second kind by relaxation method. Zbl 1065.65086
Xue, Lian; Cheng, Xiao-Liang
2004
Legendre collocation approximation for Cahn-Hilliard equation. Zbl 1032.65115
Ye, Xingde; Cheng, Xiaoliang
2002
Turbulent natural convection coupled with thermal radiation in large vertical channels with asymmetric heating. Zbl 0925.76666
Cheng, X.; Müller, U.
1998
Quadrilateral finite elements for planar linear elasticity problem with large Lamé constant. Zbl 0928.74094
Cheng, Xiaoliang; Huang, Hongci; Zou, Jun
1998
Inverse source problem for a distributed-order time fractional diffusion equation. Zbl 07173390
Cheng, Xiaoliang; Yuan, Lele; Liang, Kewei
2020
Mappings between balls with geometric and degeneracy rank two. Zbl 1427.32013
Cheng, Xiaoliang; Ji, Shanyu; Yin, Wanke
2019
A coupled complex boundary expanding compacts method for inverse source problems. Zbl 1411.35287
Zhang, Ye; Gong, Rongfang; Gulliksson, Mårten; Cheng, Xiaoliang
2019
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
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.
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
2018
A coupled complex boundary method for an inverse conductivity problem with one measurement. Zbl 1370.65065
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
2017
Submanifolds of Cartan-Hartogs domains and complex Euclidean spaces. Zbl 1367.32002
Cheng, Xiaoliang; Niu, Yanyan
2017
Numerical analysis of inverse elasticity problem with Signorini’s condition. Zbl 1373.74092
Zheng, Cong; Cheng, Xiaoliang; Liang, Kewei
2016
A numerical estimation of the piecewise constant Robin coefficient by identifying its discontinuous points. Zbl 1340.65255
Cheng, Xiaoliang; Yu, Yuanjie
2015
A general framework for integration of bioluminescence tomography and diffuse optical tomography. Zbl 1308.65188
Han, Weimin; Gong, Rongfang; Cheng, Xiaoliang
2014
Algorithms on the sparse solution of under-determined linear systems. Zbl 1299.65066
Cheng, Xiaoliang; Zheng, Xuan; Han, Weimin
2013
Some iterative algorithms for the obstacle problems. Zbl 1204.65077
Lian, Xiao-Peng; Cen, Zhongdi; Cheng, Xiao-Liang
2010
Experimental studies on critical heat flux in vertical tight 37-rod bundles using freon-12. Zbl 1135.76384
Cheng, X.
2005
The inexact Uzawa algorithm for saddle point problem. Zbl 0955.65024
Cheng, Xiao-Liang
2000
A simple finite element method for the Reissner-Mindlin plate. Zbl 0792.73075
Cheng, Xiaoliang
1994
An analysis of the reduced integration and penalty method for the Stokes equations. Zbl 0679.76043
Cheng, Xiaoliang
1989
A penalty method for the stationary Stokes equations. Zbl 0695.76021
Cheng, Xiaoliang
1988
Inverse source problem for a distributed-order time fractional diffusion equation. Zbl 07173390
Cheng, Xiaoliang; Yuan, Lele; Liang, Kewei
2020
Mappings between balls with geometric and degeneracy rank two. Zbl 1427.32013
Cheng, Xiaoliang; Ji, Shanyu; Yin, Wanke
2019
A coupled complex boundary expanding compacts method for inverse source problems. Zbl 1411.35287
Zhang, Ye; Gong, Rongfang; Gulliksson, Mårten; Cheng, Xiaoliang
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
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
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.
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
2018
An adjoint method in inverse problems of chromatography. Zbl 1369.65119
Zhang, Y.; Lin, G.; Gulliksson, M.; Forssén, P.; Fornstedt, T.; Cheng, X.
2017
Kähler submanifolds and the Umehara algebra. Zbl 1367.32015
Cheng, Xiaoliang; Di Scala, Antonio J.; Yuan, Yuan
2017
On a class of projective Ricci flat Finsler metrics. Zbl 1399.53029
Cheng, X.; Shen, Y.; Ma, X.
2017
A coupled complex boundary method for an inverse conductivity problem with one measurement. Zbl 1370.65065
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
2017
Submanifolds of Cartan-Hartogs domains and complex Euclidean spaces. Zbl 1367.32002
Cheng, Xiaoliang; Niu, Yanyan
2017
Analysis of a contact problem with unilateral constraint and slip-dependent friction. Zbl 1370.74115
Barboteu, Mikael; Cheng, Xiao-Liang; Sofonea, Mircea
2016
A coupled complex boundary method for the Cauchy problem. Zbl 1348.65157
Cheng, X. L.; Gong, R. F.; Han, W.
2016
A new coupled complex boundary method for bioluminescence tomography. Zbl 1373.74095
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
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
2016
Numerical analysis of inverse elasticity problem with Signorini’s condition. Zbl 1373.74092
Zheng, Cong; Cheng, Xiaoliang; Liang, Kewei
2016
A posteriori error estimates for discontinuous Galerkin methods of obstacle problems. Zbl 1304.65163
Wang, Fei; Han, Weimin; Eichholz, Joseph; Cheng, Xiaoliang
2015
Rothe method for parabolic variational-hemivariational inequalities. Zbl 1303.65053
Bartosz, Krzysztof; Cheng, Xiaoliang; Kalita, Piotr; Yu, Yuanjie; Zheng, Cong
2015
A new Kohn-Vogelius type formulation for inverse source problems. Zbl 1332.65157
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin
2015
Corrigendum to: “Acceleration of a two-grid method for eigenvalue problems”. Zbl 1321.65164
Hu, Xiaozhe; Cheng, Xiaoliang
2015
A numerical estimation of the piecewise constant Robin coefficient by identifying its discontinuous points. Zbl 1340.65255
Cheng, Xiaoliang; Yu, Yuanjie
2015
Discontinuous Galerkin methods for solving a quasistatic contact problem. Zbl 1431.74106
Wang, Fei; Han, Weimin; Cheng, Xiaoliang
2014
A novel for solving inverse source problems. Zbl 1290.35324
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin; Zheng, Xuan
2014
Analysis of two quasistatic history-dependent contact models. Zbl 1310.74035
Cheng, Xiaoliang; Migórski, Stanisław; Ochal, Anna; Sofonea, Mircea
2014
On a boundary value method for computing Sturm-Liouville potentials from two spectra. Zbl 1305.34028
Gao, Qin; Cheng, Xiaoliang; Huang, Zhengda
2014
A fast solver for an inverse problem arising in bioluminescence tomography. Zbl 1293.92011
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
2014
A general framework for integration of bioluminescence tomography and diffuse optical tomography. Zbl 1308.65188
Han, Weimin; Gong, Rongfang; Cheng, Xiaoliang
2014
Modified Numerov’s method for inverse Sturm-Liouville problems. Zbl 1288.65109
Gao, Qin; Cheng, Xiaoliang; Huang, Zhengda
2013
On the optimal harvesting of size-structured population dynamics. Zbl 1299.49027
Liu, Yan; Cheng, Xiaoliang; He, Zerong
2013
A variational binary level set method for structural topology optimization. Zbl 1373.49052
Dai, Xiaoxia; Tang, Peipei; Cheng, Xiaoliang; Wu, Minghui
2013
A numerical approach for defect modes localization in an inhomogeneous medium. Zbl 1300.78013
Gu, Yiqi; Cheng, Xiaoliang
2013
CR submanifolds in a sphere and their Gauss maps. Zbl 1267.32012
Cheng, XiaoLiang; Ji, ShanYu; Liu, WeiMing
2013
Algorithms on the sparse solution of under-determined linear systems. Zbl 1299.65066
Cheng, Xiaoliang; Zheng, Xuan; Han, Weimin
2013
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
2012
A meshless method for solving the free boundary problem associated with unilateral obstacle. Zbl 1242.65126
Yuan, DaMing; Cheng, XiaoLiang
2012
Acceleration of a two-grid method for eigenvalue problems. Zbl 1232.65141
Hu, Xiaozhe; Cheng, Xiaoliang
2011
Discontinuous Galerkin methods for solving the Signorini problem. Zbl 1315.74021
Wang, Fei; Han, Weimin; Cheng, Xiaoliang
2011
A linearly semi-implicit compact scheme for the Burgers-Huxley equation. Zbl 1213.65122
Zhou, Shenggao; Cheng, Xiaoliang
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
2011
A theoretical framework of X-ray dark-field tomography. Zbl 1233.35195
Han, Weimin; Eichholz, Joseph A.; Cheng, Xiaoliang; Wang, Ge
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
2011
A boundary piecewise constant level set method for boundary control of eigenvalue optimization problems. Zbl 1221.65298
Zhang, Zheng-Fang; Cheng, Xiao-Liang
2011
Discontinuous Galerkin methods for solving elliptic variational inequalities. Zbl 1214.65039
Wang, Fei; Han, Weimin; Cheng, Xiao-Liang
2010
Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains. Zbl 1197.65162
Zhou, Shenggao; Cheng, Xiaoliang
2010
A novel approach for studies of multispectral bioluminescence tomography. Zbl 1190.92021
Gong, Rongfang; Wang, Ge; Cheng, Xiaoliang; Han, Weimin
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
2010
A numerical investigation of blow-up in reaction-diffusion problems with traveling heat sources. Zbl 1196.65150
Zhu, Hancan; Liang, Kewei; Cheng, Xiaoliang
2010
Bioluminescence tomography for media with spatially varying refractive index. Zbl 1187.92060
Gong, R. F.; Cheng, X.-L.; Han, W.
2010
Iterative methods for a forward-backward heat equation in two-dimension. Zbl 1224.65209
Sun, Jie; Cheng, Xiaoliang
2010
Some iterative algorithms for the obstacle problems. Zbl 1204.65077
Lian, Xiao-Peng; Cen, Zhongdi; Cheng, Xiao-Liang
2010
Numerical solution of the Falkner-Skan equation based on quasilinearization. Zbl 1179.65094
Zhu, Shengfeng; Wu, Qingbiao; Cheng, Xiaoliang
2009
Error estimates for an operator-splitting method for Navier-Stokes equations: second-order schemes. Zbl 1167.76024
Dai, Xiaoxia; Sun, Jie; Cheng, Xiaoliang
2009
A two-grid method based on Newton iteration for the Navier-Stokes equations. Zbl 1142.76030
Dai, Xiaoxia; Cheng, Xiaoliang
2008
An algorithm for solving the double obstacle problems. Zbl 1146.74037
Wang, Fei; Cheng, Xiaoliang
2008
A new general mathematical framework for bioluminescence tomography. Zbl 1169.92309
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin
2008
Analysis of the iterative penalty method for the Stokes equations. Zbl 1128.76032
Cheng, Xiao-Liang; Shaikh, Abdul Wasim
2006
On the error estimate of finite difference method for the obstacle problem. Zbl 1133.65039
Cheng, Xiao-Liang; Xue, Lian
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
2006
The Fourier spectral method for the Cahn-Hilliard equation. Zbl 1093.65099
Ye, Xingde; Cheng, Xiaoliang
2005
Iterative methods for the forward-backward heat equation. Zbl 1080.65072
Cheng, Xiaoliang; Sun, Jie
2005
Experimental studies on critical heat flux in vertical tight 37-rod bundles using freon-12. Zbl 1135.76384
Cheng, X.
2005
An algorithm for solving the obstacle problems. Zbl 1082.74038
Xue, Lian; Cheng, Xiao-Liang
2004
Convergence rate to elliptic variational inequalities of the second kind by relaxation method. Zbl 1065.65086
Xue, Lian; Cheng, Xiao-Liang
2004
Inexact Uzawa algorithms for variational inequalities of the second kind. Zbl 1033.65045
Cheng, Xiao-liang; Han, Weimin
2003
An inexact Uzawa-type iterative method for solving saddle point problems. Zbl 1016.65011
Cheng, Xiao-Liang; Zou, Jun
2003
A note on the perturbed trapezoid inequality. Zbl 0994.26020
Cheng, Xiao-Liang; Sun, Jie
2002
Linear finite element approximations for the Timoshenko beam and the shallow arch problems. Zbl 1016.74065
Cheng, Xiaoliang; Xue, Wei-min
2002
Legendre collocation approximation for Cahn-Hilliard equation. Zbl 1032.65115
Ye, Xingde; Cheng, Xiaoliang
2002
Improvement of some Ostrowski-Grüss type inequalities. Zbl 0980.26011
Cheng, Xiao-Liang
2001
The Iyengar-type inequality. Zbl 0987.26008
Cheng, Xiao-Liang
2001
On the nonlinear inexact Uzawa algorithm for saddle-point problems. Zbl 0960.65032
Cheng, Xiao-liang
2000
Some mixed finite element methods for biharmonic equation. Zbl 0973.65098
Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci
2000
The inexact Uzawa algorithm for saddle point problem. Zbl 0955.65024
Cheng, Xiao-Liang
2000
Turbulent natural convection coupled with thermal radiation in large vertical channels with asymmetric heating. Zbl 0925.76666
Cheng, X.; Müller, U.
1998
Quadrilateral finite elements for planar linear elasticity problem with large Lamé constant. Zbl 0928.74094
Cheng, Xiaoliang; Huang, Hongci; Zou, Jun
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
1997
Analysis of some mixed elements for the Stokes problem. Zbl 0896.76035
Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci
1997
A simple finite element method for the Reissner-Mindlin plate. Zbl 0792.73075
Cheng, Xiaoliang
1994
A nonconforming element like Wilson’s for second order problems. Zbl 0850.65214
Jiang, Jinsheng; Cheng, Xiaoliang
1992
On the stability of biquadratic-bilinear velocity-pressure finite elements. Zbl 0754.76055
Jiang, Jinsheng; Cheng, Xiaoliang
1992
An analysis of the reduced integration and penalty method for the Stokes equations. Zbl 0679.76043
Cheng, Xiaoliang
1989
A penalty method for the stationary Stokes equations. Zbl 0695.76021
Cheng, Xiaoliang
1988
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#### Cited by 585 Authors

 37 Cheng, Xiaoliang 32 Han, Weimin 13 Dragomir, Sever Silvestru 12 Gong, Rongfang 10 Sofonea, Mircea 9 Wang, Fei 7 Migórski, Stanisław 7 Shi, Dongyang 7 Xie, Hehu 6 Bartosz, Krzysztof 6 Feng, Qinghua 6 Gudi, Thirupathi 6 Lin, Yiqin 6 Yang, Yidu 6 Zhang, Ye 6 Zheng, Bin 5 Bi, Hai 5 Cen, Zhongdi 5 Gulliksson, Mårten E. 5 Han, Danfu 5 Li, Bo 5 Li, Xiaolin 5 Shao, Xinping 5 Ujević, Nenad 4 An, Rong 4 Barboteu, Mikaël 4 Hu, Xiaozhe 4 Jing, Feifei 4 Lamichhane, Bishnu Prasad 4 Liang, Kewei 4 Meng, Fanwei 4 Mu, Lin 4 Ngo, Quoc Anh 4 Porwal, Kamana 4 Ye, Xingde 3 Arakelyan, Avetik 3 Bi, Bo 3 Cerone, Pietro 3 Dai, Xiaoxia 3 Dehghan Takht Fooladi, Mehdi 3 Feng, Xinlong 3 Han, Bo 3 Han, Jiayu 3 Huang, Pengzhan 3 Le, Anbo 3 Li, Fule 3 Lin, Guangliang 3 Lu, Junfeng 3 Ma, Changfeng 3 Niezgoda, Marek 3 Ogorzały, Justyna 3 Shaikh, Abdul Wasim 3 Shang, Yueqiang 3 Tang, Jinping 3 Touzaline, Arezki 3 Wang, Cheng 3 Wang, Fei 3 Weng, Zhifeng 3 Xu, Aimin 3 Yan, Wenjing 3 Yuan, Daming 3 Zhang, Shougui 3 Zhang, Shuo 3 Zhang, Yaoming 3 Zhang, Zhengfang 3 Zhao, Yanmin 2 Al-saedi, Ahmed Eid Salem 2 Anastassiou, George Angelos 2 Armentano, María Gabriela 2 Bajpai, Saumya 2 Banei, Siamak 2 Barkhudaryan, Rafayel H. 2 Bouali, H. 2 Cai, Mingchao 2 Cao, Yang 2 Chakib, Abdelkrim 2 Chen, Duan 2 Chen, Weifeng 2 Chen, Yanping 2 Cong, Wenxiang 2 Danan, David 2 Ding, Xiaohua 2 Dong, Haiyun 2 Eichholz, Joseph A. 2 Ern, Alexandre 2 Fan, Chia-Ming 2 Fang, Changjie 2 Fornstedt, Torgny 2 Forssén, Patrik 2 Franjić, Iva 2 Gaddam, Sharat 2 Gao, Qin 2 Gonska, Heinz Herbert 2 Hayat, Tasawar 2 Hu, Xianliang 2 Huang, Peiqi 2 Huang, Zhengda 2 Huy, Vu Nhat 2 Kalita, Piotr 2 Karabash, Illya M. ...and 485 more Authors
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#### Cited in 126 Serials

 37 Applied Mathematics and Computation 31 Computers & Mathematics with Applications 28 Journal of Computational and Applied Mathematics 12 International Journal of Computer Mathematics 11 Applied Numerical Mathematics 11 Numerical Methods for Partial Differential Equations 11 Applied Mathematics Letters 11 Journal of Scientific Computing 9 Applicable Analysis 9 Journal of Computational Physics 9 Numerical Algorithms 8 Computer Methods in Applied Mechanics and Engineering 7 Journal of Inequalities and Applications 6 Inverse Problems in Science and Engineering 5 Journal of Mathematical Analysis and Applications 5 Numerische Mathematik 5 Acta Mathematicae Applicatae Sinica. English Series 5 Applied Mathematics. Series B (English Edition) 5 Engineering Analysis with Boundary Elements 5 Abstract and Applied Analysis 4 Mathematics of Computation 4 SIAM Journal on Numerical Analysis 4 Computational and Applied Mathematics 4 Mathematical Problems in Engineering 4 Communications in Nonlinear Science and Numerical Simulation 4 Nonlinear Analysis. Real World Applications 4 Mediterranean Journal of Mathematics 4 Advances in Difference Equations 3 Inverse Problems 3 Journal of Engineering Mathematics 3 BIT 3 Numerical Functional Analysis and Optimization 3 Applied Mathematical Modelling 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Scientific Computing 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 2 Computers and Fluids 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Mechanics. (English Edition) 2 Applications of Mathematics 2 Journal of Global Optimization 2 Applicationes Mathematicae 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Engineering Computations 2 Journal of Numerical Mathematics 2 Journal of Applied Mathematics and Computing 2 Boundary Value Problems 2 Science China. Mathematics 2 Problemy Analiza. Issues of Analysis 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 International Journal of Heat and Mass Transfer 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 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 Le Matematiche 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Computer Aided Geometric Design 1 Optimization 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 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 Communications in Numerical Methods in Engineering 1 Numerical Linear Algebra with Applications 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Arab Journal of Mathematical Sciences 1 Journal of Vibration and Control 1 Optimization Methods & Software 1 Discrete Dynamics in Nature and Society 1 Journal of Interdisciplinary Mathematics 1 Acta Mathematica Sinica. English Series 1 The ANZIAM Journal 1 Nihonkai Mathematical Journal 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris ...and 26 more Serials
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#### Cited in 34 Fields

 278 Numerical analysis (65-XX) 141 Partial differential equations (35-XX) 59 Mechanics of deformable solids (74-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 53 Fluid mechanics (76-XX) 52 Real functions (26-XX) 20 Operator theory (47-XX) 20 Biology and other natural sciences (92-XX) 12 Ordinary differential equations (34-XX) 12 Optics, electromagnetic theory (78-XX) 11 Approximations and expansions (41-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Potential theory (31-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Operations research, mathematical programming (90-XX) 4 Differential geometry (53-XX) 4 Probability theory and stochastic processes (60-XX) 4 Information and communication theory, circuits (94-XX) 3 Integral equations (45-XX) 3 Systems theory; control (93-XX) 2 Difference and functional equations (39-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 History and biography (01-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 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX)