Edit Profile (opens in new tab) Cheng, Xiaoliang Co-Author Distance Author ID: cheng.xiaoliang Published as: Cheng, Xiaoliang; Cheng, Xiao-Liang; Cheng, Xiao-liang; Cheng, XiaoLiang; Cheng, X. L.; Cheng, X.; Cheng, Xiao Liang; Cheng, X.-L. more...less Documents Indexed: 167 Publications since 1988 1 Contribution as Editor Co-Authors: 89 Co-Authors with 147 Joint Publications 2,549 Co-Co-Authors all top 5 Co-Authors 16 single-authored 29 Han, Weimin 22 Gong, Rongfang 10 Jiang, Jinsheng 10 Liang, Kewei 8 Wang, Xilu 8 Zhang, Ye 7 Xuan, Hailing 6 Gulliksson, Mårten E. 6 Ye, Xingde 6 Zhang, Zhengfang 5 Dai, Xiaoxia 5 Huang, Hongci 5 Lin, Guangliang 5 Wang, Fei 5 Xiao, Qichang 4 Gao, Qin 4 Huang, Zhengda 4 Ran, Qinghua 4 Sun, Jie 4 Zheng, Xuan 3 Eichholz, Joseph A. 3 Fornstedt, Torgny 3 Forssén, Patrik 3 Ji, Shanyu 3 Migórski, Stanisław 3 Sofonea, Mircea 3 Xu, Jingbo 3 Xue, Lian 3 Yu, Yuanjie 3 Yuan, Daming 3 Yuan, Lele 3 Zheng, Cong 3 Zou, Jun 2 Abide, Stéphane 2 Chen, Liang 2 Hu, Xiaozhe 2 Lian, Xiaopeng 2 Liu, Qing 2 Ochal, Anna 2 Shaikh, Abdul Wasim 2 Shen, Xing 2 Wang, Ge 2 Zhou, Shenggao 1 Barboteu, Mikaël 1 Bartosz, Krzysztof 1 Cen, Zhongdi 1 Chen, Weifeng 1 Cherkaoui, Soufiane 1 Czuprynski, Kenneth 1 Di Scala, Antonio Jose 1 Fang, Changjie 1 Gao, Xiangjing 1 Gu, Yiqi 1 Hao, Yihong 1 He, Zerong 1 Huang, Duo 1 Huang, Zhenjie 1 Jalil, Mansoor Bin Abdul 1 Jin, Qinian 1 Kalita, Piotr 1 Lee, Hwee Kuan 1 Li, Bo 1 Li, Yujie 1 Liu, Fei 1 Liu, Lu 1 Liu, Weiming 1 Liu, Yan 1 Mansouri, Wafa 1 Meng, Bingquan 1 Niu, Yanyan 1 Okabe, Yutaka 1 Peng, Wuan 1 Su, Xiaoming 1 Sun, Aihui 1 Tang, Peipei 1 Wang, Qi 1 Wang, Qianyun 1 Wu, Minghui 1 Wu, Qingbiao 1 Wu, Xiulan 1 Wu, Zhenghua 1 Wu, Zhongtang 1 Xu, Yuanji 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 all top 5 Serials 14 International Journal of Computer Mathematics 10 Journal of Computational and Applied Mathematics 8 Journal of Computational Mathematics 6 Computers & Mathematics with Applications 6 Applied Mathematics and Computation 6 Mathematica Numerica Sinica 6 Journal of Hangzhou University. Natural Science Edition 6 Applied Mathematics. Series B (English Edition) 6 Inverse Problems in Science and Engineering 5 Applied Mathematics. Series A (Chinese Edition) 5 Journal of Inverse and Ill-Posed Problems 5 Communications in Computational Physics 4 Applied Mathematics Letters 3 Applicable Analysis 3 Inverse Problems 3 SIAM Journal on Applied Mathematics 3 Nonlinear Analysis. Real World Applications 3 International Journal of Numerical Analysis and Modeling 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 Numerical Mathematics: Theory, Methods and Applications 2 Science China. Mathematics 2 Evolution Equations and Control Theory 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 Journal of Scientific Computing 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 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 1 Mathematical Control and Related Fields 1 Journal of Nonlinear and Variational Analysis all top 5 Fields 111 Numerical analysis (65-XX) 57 Partial differential equations (35-XX) 38 Mechanics of deformable solids (74-XX) 29 Fluid mechanics (76-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 13 Biology and other natural sciences (92-XX) 10 Operator theory (47-XX) 9 Ordinary differential equations (34-XX) 8 Several complex variables and analytic spaces (32-XX) 5 Optics, electromagnetic theory (78-XX) 4 Integral equations (45-XX) 4 Differential geometry (53-XX) 3 Real functions (26-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 102 Publications have been cited 764 times in 574 Documents Cited by ▼ Year ▼ Discontinuous Galerkin methods for solving elliptic variational inequalities. Zbl 1214.65039Wang, Fei; Han, Weimin; Cheng, Xiao-Liang 53 2010 Acceleration of a two-grid method for eigenvalue problems. Zbl 1232.65141Hu, Xiaozhe; Cheng, Xiaoliang 41 2011 Improvement of some Ostrowski-Grüss type inequalities. Zbl 0980.26011Cheng, Xiao-Liang 40 2001 Discontinuous Galerkin methods for solving the Signorini problem. Zbl 1315.74021Wang, Fei; Han, Weimin; Cheng, Xiaoliang 36 2011 A two-grid method based on Newton iteration for the Navier-Stokes equations. Zbl 1142.76030Dai, Xiaoxia; Cheng, Xiaoliang 32 2008 A note on the perturbed trapezoid inequality. Zbl 0994.26020Cheng, Xiao-Liang; Sun, Jie 23 2002 Some mixed finite element methods for biharmonic equation. Zbl 0973.65098Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci 22 2000 Rothe method for parabolic variational-hemivariational inequalities. Zbl 1303.65053Bartosz, Krzysztof; Cheng, Xiaoliang; Kalita, Piotr; Yu, Yuanjie; Zheng, Cong 22 2015 On the nonlinear inexact Uzawa algorithm for saddle-point problems. Zbl 0960.65032Cheng, Xiao-liang 21 2000 A posteriori error estimates for discontinuous Galerkin methods of obstacle problems. Zbl 1304.65163Wang, Fei; Han, Weimin; Eichholz, Joseph; Cheng, Xiaoliang 21 2015 Discontinuous Galerkin methods for solving a quasistatic contact problem. Zbl 1431.74106Wang, Fei; Han, Weimin; Cheng, Xiaoliang 20 2014 The Fourier spectral method for the Cahn-Hilliard equation. Zbl 1093.65099Ye, Xingde; Cheng, Xiaoliang 17 2005 Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains. Zbl 1197.65162Zhou, Shenggao; Cheng, Xiaoliang 15 2010 Dielectric boundary force in molecular solvation with the Poisson-Boltzmann free energy: a shape derivative approach. Zbl 1234.35174Li, Bo; Cheng, Xiaoliang; Zhang, Zhengfang 15 2011 An algorithm for solving the double obstacle problems. Zbl 1146.74037Wang, Fei; Cheng, Xiaoliang 14 2008 A novel for solving inverse source problems. Zbl 1290.35324Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin; Zheng, Xuan 14 2014 On the error estimate of finite difference method for the obstacle problem. Zbl 1133.65039Cheng, Xiao-Liang; Xue, Lian 13 2006 A linearly semi-implicit compact scheme for the Burgers-Huxley equation. Zbl 1213.65122Zhou, Shenggao; Cheng, Xiaoliang 13 2011 A nonconforming element like Wilson’s for second order problems. Zbl 0850.65214Jiang, Jinsheng; Cheng, Xiaoliang 12 1992 Finite element method for a stationary Stokes hemivariational inequality with slip boundary condition. Zbl 1466.65185Fang, Changjie; Czuprynski, Kenneth; Han, Weimin; Cheng, Xiaoliang; Dai, Xiaoxia 12 2020 Analysis of the iterative penalty method for the Stokes equations. Zbl 1128.76032Cheng, Xiao-Liang; Shaikh, Abdul Wasim 11 2006 An algorithm for solving the obstacle problems. Zbl 1082.74038Xue, Lian; Cheng, Xiao-Liang 11 2004 Analysis of a contact problem with unilateral constraint and slip-dependent friction. Zbl 1370.74115Barboteu, Mikael; Cheng, Xiao-Liang; Sofonea, Mircea 11 2016 Analysis of two quasistatic history-dependent contact models. Zbl 1310.74035Cheng, Xiaoliang; Migórski, Stanisław; Ochal, Anna; Sofonea, Mircea 10 2014 Kähler submanifolds and the Umehara algebra. Zbl 1367.32015Cheng, Xiaoliang; Di Scala, Antonio J.; Yuan, Yuan 9 2017 A new general mathematical framework for bioluminescence tomography. Zbl 1169.92309Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin 8 2008 Numerical solution of the Falkner-Skan equation based on quasilinearization. Zbl 1179.65094Zhu, Shengfeng; Wu, Qingbiao; Cheng, Xiaoliang 8 2009 The Iyengar-type inequality. Zbl 0987.26008Cheng, Xiao-Liang 8 2001 An adjoint method in inverse problems of chromatography. Zbl 1369.65119Zhang, Y.; Lin, G.; Gulliksson, M.; Forssén, P.; Fornstedt, T.; Cheng, X. 8 2017 A coupled complex boundary method for the Cauchy problem. Zbl 1348.65157Cheng, X. L.; Gong, R. F.; Han, W. 8 2016 On the optimal harvesting of size-structured population dynamics. Zbl 1299.49027Liu, Yan; Cheng, Xiaoliang; He, Zerong 7 2013 Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems. Zbl 0878.73068Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci 7 1997 Iterative methods for the forward-backward heat equation. Zbl 1080.65072Cheng, Xiaoliang; Sun, Jie 7 2005 A dynamical regularization algorithm for solving inverse source problems of elliptic partial differential equations. Zbl 1417.65190Zhang, Ye; Gong, Rongfang; Cheng, Xiaoliang; Gulliksson, Mårten 7 2018 Inverse source problem for a distributed-order time fractional diffusion equation. Zbl 1509.35340Cheng, Xiaoliang; Yuan, Lele; Liang, Kewei 6 2020 An inexact Uzawa-type iterative method for solving saddle point problems. Zbl 1016.65011Cheng, Xiao-Liang; Zou, Jun 6 2003 Inexact Uzawa algorithms for variational inequalities of the second kind. Zbl 1033.65045Cheng, Xiao-liang; Han, Weimin 6 2003 A variational binary level set method for structural topology optimization. Zbl 1373.49052Dai, Xiaoxia; Tang, Peipei; Cheng, Xiaoliang; Wu, Minghui 6 2013 A theoretical framework of X-ray dark-field tomography. Zbl 1233.35195Han, Weimin; Eichholz, Joseph A.; Cheng, Xiaoliang; Wang, Ge 6 2011 Iterative methods for a forward-backward heat equation in two-dimension. Zbl 1224.65209Sun, Jie; Cheng, Xiaoliang 5 2010 Error estimates for an operator-splitting method for Navier-Stokes equations: second-order schemes. Zbl 1167.76024Dai, Xiaoxia; Sun, Jie; Cheng, Xiaoliang 5 2009 Modified Numerov’s method for inverse Sturm-Liouville problems. Zbl 1288.65109Gao, Qin; Cheng, Xiaoliang; Huang, Zhengda 5 2013 A regularization method for the reconstruction of adsorption isotherms in liquid chromatography. Zbl 1388.78017Zhang, Ye; Lin, Guang-Liang; Forssén, Patrik; Gulliksson, Mårten; Fornstedt, Torgny; Cheng, Xiao-Liang 5 2016 A regularizing Kohn-Vogelius formulation for the model-free adsorption isotherm estimation problem in chromatography. Zbl 1446.65051Lin, G.; Zhang, Y.; Cheng, X.; Gulliksson, M.; Forssén, P.; Fornstedt, T. 5 2018 A new Kohn-Vogelius type formulation for inverse source problems. Zbl 1332.65157Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin 5 2015 A novel approach for studies of multispectral bioluminescence tomography. Zbl 1190.92021Gong, Rongfang; Wang, Ge; Cheng, Xiaoliang; Han, Weimin 4 2010 Analysis of some mixed elements for the Stokes problem. Zbl 0896.76035Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci 4 1997 A boundary piecewise constant level set method for boundary control of eigenvalue optimization problems. Zbl 1221.65298Zhang, Zheng-Fang; Cheng, Xiao-Liang 4 2011 Linear finite element approximations for the Timoshenko beam and the shallow arch problems. Zbl 1016.74065Cheng, Xiaoliang; Xue, Wei-min 4 2002 Error estimate for quasistatic history-dependent contact model. Zbl 1442.74140Cheng, Xiaoliang; Xiao, Qichang; Migórski, Stanisław; Ochal, Anna 4 2019 A dynamical method for solving the obstacle problem. Zbl 1463.35278Ran, Qinghua; Cheng, Xiaoliang; Abide, Stephane 4 2020 Numerical analysis of a dynamic contact problem with history-dependent operators. Zbl 1463.65314Xuan, Hailing; Cheng, Xiaoliang; Han, Weimin; Xiao, Qichang 4 2020 Submanifolds of Cartan-Hartogs domains and complex Euclidean spaces. Zbl 1367.32002Cheng, Xiaoliang; Niu, Yanyan 4 2017 A monotonic algorithm for eigenvalue optimization in shape design problems of multi-density inhomogeneous materials. Zbl 1364.65133Zhang, Zheng-Fang; Liang, Ke-Wei; Cheng, Xiao-Liang 4 2010 Corrigendum to: “Acceleration of a two-grid method for eigenvalue problems”. Zbl 1321.65164Hu, Xiaozhe; Cheng, Xiaoliang 4 2015 On a boundary value method for computing Sturm-Liouville potentials from two spectra. Zbl 1305.34028Gao, Qin; Cheng, Xiaoliang; Huang, Zhengda 4 2014 A fast solver for an inverse problem arising in bioluminescence tomography. Zbl 1293.92011Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin 4 2014 On the stability of biquadratic-bilinear velocity-pressure finite elements. Zbl 0754.76055Jiang, Jinsheng; Cheng, Xiaoliang 3 1992 A numerical investigation of blow-up in reaction-diffusion problems with traveling heat sources. Zbl 1196.65150Zhu, Hancan; Liang, Kewei; Cheng, Xiaoliang 3 2010 Bioluminescence tomography for media with spatially varying refractive index. Zbl 1187.92060Gong, R. F.; Cheng, X.-L.; Han, W. 3 2010 Greedy algorithms for eigenvalue optimization problems in shape design of two-density inhomogeneous materials. Zbl 1211.65150Zhang, Zheng-Fang; Liang, Ke-Wei; Cheng, Xiao-Liang 3 2011 The inexact Uzawa algorithm for saddle point problem. Zbl 0955.65024Cheng, Xiao-Liang 3 2000 On the non-existence of common submanifolds of Kähler manifolds and complex space forms. Zbl 1470.32036Cheng, Xiaoliang; Hao, Yihong 3 2021 A new coupled complex boundary method for bioluminescence tomography. Zbl 1373.74095Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin 3 2016 Legendre spectral approximation for the Cahn-Hilliard equation. Zbl 1495.65185Ye, Xing De; Cheng, Xiao Liang 3 2003 Numerical analysis of a history-dependent variational-hemivariational inequality for a viscoplastic contact problem. Zbl 1481.65179Cheng, Xiaoliang; Wang, Xilu 3 2020 A coupled complex boundary method for an inverse conductivity problem with one measurement. Zbl 1370.65065Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin 3 2017 A meshless method for solving the free boundary problem associated with unilateral obstacle. Zbl 1242.65126Yuan, DaMing; Cheng, XiaoLiang 3 2012 A modified coupled complex boundary method for an inverse chromatography problem. Zbl 1408.65067Cheng, Xiaoliang; Lin, Guangliang; Zhang, Ye; Gong, Rongfang; Gulliksson, Mårten 3 2018 Numerical analysis of an adhesive contact problem with long memory. Zbl 1468.74060Cheng, Xiaoliang; Xiao, Qichang 2 2020 Some iterative algorithms for the obstacle problems. Zbl 1204.65077Lian, Xiao-Peng; Cen, Zhongdi; Cheng, Xiao-Liang 2 2010 Linearity and second fundamental forms for proper holomorphic maps from \(\mathbb{B}^{n+1}\) to \(\mathbb{B}^{4n-3}\). Zbl 1257.32036Cheng, Xiaoliang; Ji, Shanyu 2 2012 Iterative methods for the Poisson equation in \(L\)-shape domain based on domain decomposition method. Zbl 1111.65095Cheng, Xiao-Liang; Shaikh, Abdul Wasim 2 2006 Convergence rate to elliptic variational inequalities of the second kind by relaxation method. Zbl 1065.65086Xue, Lian; Cheng, Xiao-Liang 2 2004 Numerical analysis and simulation of an adhesive contact problem with damage and long memory. Zbl 1476.65197Xuan, Hailing; Cheng, Xiaoliang 2 2021 A coupled complex boundary expanding compacts method for inverse source problems. Zbl 1411.35287Zhang, Ye; Gong, Rongfang; Gulliksson, Mårten; Cheng, Xiaoliang 2 2019 A coupled complex boundary method for parameter identification in elliptic problems. Zbl 1480.65321Zheng, Xuan; Cheng, Xiaoliang; Gong, Rongfang 2 2020 High-order compact scheme finite difference discretization for Signorini’s problem. Zbl 1484.35228Abide, S.; Mansouri, W.; Cherkaoui, S.; Cheng, X. 2 2021 A parametric level set based collage method for an inverse problem in elliptic partial differential equations. Zbl 1432.65162Lin, Guangliang; Cheng, Xiaoliang; Zhang, Ye 2 2018 CR submanifolds in a sphere and their Gauss maps. Zbl 1267.32012Cheng, XiaoLiang; Ji, ShanYu; Liu, WeiMing 2 2013 A finite difference method for an inverse Sturm-Liouville problem in impedance form. Zbl 1328.65167Gao, Qin; Huang, Zhengda; Cheng, Xiaoliang 2 2015 A numerical approach for defect modes localization in an inhomogeneous medium. Zbl 1300.78013Gu, Yiqi; Cheng, Xiaoliang 2 2013 Quadrilateral finite elements for planar linear elasticity problem with large Lamé constant. Zbl 0928.74094Cheng, Xiaoliang; Huang, Hongci; Zou, Jun 2 1998 Turbulent natural convection coupled with thermal radiation in large vertical channels with asymmetric heating. Zbl 0925.76666Cheng, X.; Müller, U. 2 1998 Experimental studies on critical heat flux in vertical tight 37-rod bundles using freon-12. Zbl 1135.76384Cheng, X. 1 2005 A penalty method for the stationary Stokes equations. Zbl 0695.76021Cheng, Xiaoliang 1 1988 Algorithms on the sparse solution of under-determined linear systems. Zbl 1299.65066Cheng, Xiaoliang; Zheng, Xuan; Han, Weimin 1 2013 An analysis of the reduced integration and penalty method for the Stokes equations. Zbl 0679.76043Cheng, Xiaoliang 1 1989 Theoretical analysis and numerical realization of bioluminescence tomography. Zbl 1190.92020Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin 1 2010 A simple finite element method for the Reissner-Mindlin plate. Zbl 0792.73075Cheng, Xiaoliang 1 1994 An iterative algorithm based on the piecewise linear system for solving bilateral obstacle problems. Zbl 1255.65125Yuan, DaMing; Cheng, XiaoLiang 1 2012 Mappings between balls with geometric and degeneracy rank two. Zbl 1427.32013Cheng, Xiaoliang; Ji, Shanyu; Yin, Wanke 1 2019 Legendre collocation approximation for Cahn-Hilliard equation. Zbl 1032.65115Ye, Xingde; Cheng, Xiaoliang 1 2002 Numerical analysis of a viscoplastic contact problem with normal compliance, unilateral constraint, memory term and friction. Zbl 1476.65255Wang, Xilu; Cheng, Xiaoliang 1 2021 Numerical analysis of inverse elasticity problem with Signorini’s condition. Zbl 1373.74092Zheng, Cong; Cheng, Xiaoliang; Liang, Kewei 1 2016 Compactness of Hankel operator with symbols of forms. Zbl 1474.32052Cheng, X.; Jin, M.; Wang, Q. 1 2020 Inverse spectral problem for the density of a vibrating elastic membrane. Zbl 1443.74217Gao, Qin; Huang, Zhengda; Cheng, Xiaoliang 1 2015 Numerical analysis of a dynamic viscoplastic contact problem. Zbl 1499.65535Wang, Xilu; Cheng, Xiaoliang 1 2022 Analysis of Rothe method for a variational-hemivariational inequality in adhesive contact problem for locking materials. Zbl 1499.74073Cheng, Xiaoliang; Xuan, Hailing; Xiao, Qichang 1 2021 A numerical estimation of the piecewise constant Robin coefficient by identifying its discontinuous points. Zbl 1340.65255Cheng, Xiaoliang; Yu, Yuanjie 1 2015 Optimal control of a quasistatic frictional contact problem with history-dependent operators. Zbl 07709132Li, Yujie; Cheng, Xiaoliang; Wang, Xilu 1 2023 Numerical analysis of a dynamic viscoplastic contact problem. Zbl 1499.65535Wang, Xilu; Cheng, Xiaoliang 1 2022 On the non-existence of common submanifolds of Kähler manifolds and complex space forms. Zbl 1470.32036Cheng, Xiaoliang; Hao, Yihong 3 2021 Numerical analysis and simulation of an adhesive contact problem with damage and long memory. Zbl 1476.65197Xuan, Hailing; Cheng, Xiaoliang 2 2021 High-order compact scheme finite difference discretization for Signorini’s problem. Zbl 1484.35228Abide, S.; Mansouri, W.; Cherkaoui, S.; Cheng, X. 2 2021 Numerical analysis of a viscoplastic contact problem with normal compliance, unilateral constraint, memory term and friction. Zbl 1476.65255Wang, Xilu; Cheng, Xiaoliang 1 2021 Analysis of Rothe method for a variational-hemivariational inequality in adhesive contact problem for locking materials. Zbl 1499.74073Cheng, Xiaoliang; Xuan, Hailing; Xiao, Qichang 1 2021 Finite element method for a stationary Stokes hemivariational inequality with slip boundary condition. Zbl 1466.65185Fang, Changjie; Czuprynski, Kenneth; Han, Weimin; Cheng, Xiaoliang; Dai, Xiaoxia 12 2020 Inverse source problem for a distributed-order time fractional diffusion equation. Zbl 1509.35340Cheng, Xiaoliang; Yuan, Lele; Liang, Kewei 6 2020 A dynamical method for solving the obstacle problem. Zbl 1463.35278Ran, Qinghua; Cheng, Xiaoliang; Abide, Stephane 4 2020 Numerical analysis of a dynamic contact problem with history-dependent operators. Zbl 1463.65314Xuan, Hailing; Cheng, Xiaoliang; Han, Weimin; Xiao, Qichang 4 2020 Numerical analysis of a history-dependent variational-hemivariational inequality for a viscoplastic contact problem. Zbl 1481.65179Cheng, Xiaoliang; Wang, Xilu 3 2020 Numerical analysis of an adhesive contact problem with long memory. Zbl 1468.74060Cheng, Xiaoliang; Xiao, Qichang 2 2020 A coupled complex boundary method for parameter identification in elliptic problems. Zbl 1480.65321Zheng, Xuan; Cheng, Xiaoliang; Gong, Rongfang 2 2020 Compactness of Hankel operator with symbols of forms. Zbl 1474.32052Cheng, X.; Jin, M.; Wang, Q. 1 2020 Error estimate for quasistatic history-dependent contact model. Zbl 1442.74140Cheng, Xiaoliang; Xiao, Qichang; Migórski, Stanisław; Ochal, Anna 4 2019 A coupled complex boundary expanding compacts method for inverse source problems. Zbl 1411.35287Zhang, Ye; Gong, Rongfang; Gulliksson, Mårten; Cheng, Xiaoliang 2 2019 Mappings between balls with geometric and degeneracy rank two. Zbl 1427.32013Cheng, Xiaoliang; Ji, Shanyu; Yin, Wanke 1 2019 A dynamical regularization algorithm for solving inverse source problems of elliptic partial differential equations. Zbl 1417.65190Zhang, Ye; Gong, Rongfang; Cheng, Xiaoliang; Gulliksson, Mårten 7 2018 A regularizing Kohn-Vogelius formulation for the model-free adsorption isotherm estimation problem in chromatography. Zbl 1446.65051Lin, G.; Zhang, Y.; Cheng, X.; Gulliksson, M.; Forssén, P.; Fornstedt, T. 5 2018 A modified coupled complex boundary method for an inverse chromatography problem. Zbl 1408.65067Cheng, Xiaoliang; Lin, Guangliang; Zhang, Ye; Gong, Rongfang; Gulliksson, Mårten 3 2018 A parametric level set based collage method for an inverse problem in elliptic partial differential equations. Zbl 1432.65162Lin, Guangliang; Cheng, Xiaoliang; Zhang, Ye 2 2018 Kähler submanifolds and the Umehara algebra. Zbl 1367.32015Cheng, Xiaoliang; Di Scala, Antonio J.; Yuan, Yuan 9 2017 An adjoint method in inverse problems of chromatography. Zbl 1369.65119Zhang, Y.; Lin, G.; Gulliksson, M.; Forssén, P.; Fornstedt, T.; Cheng, X. 8 2017 Submanifolds of Cartan-Hartogs domains and complex Euclidean spaces. Zbl 1367.32002Cheng, Xiaoliang; Niu, Yanyan 4 2017 A coupled complex boundary method for an inverse conductivity problem with one measurement. Zbl 1370.65065Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin 3 2017 Analysis of a contact problem with unilateral constraint and slip-dependent friction. Zbl 1370.74115Barboteu, Mikael; Cheng, Xiao-Liang; Sofonea, Mircea 11 2016 A coupled complex boundary method for the Cauchy problem. Zbl 1348.65157Cheng, X. L.; Gong, R. F.; Han, W. 8 2016 A regularization method for the reconstruction of adsorption isotherms in liquid chromatography. Zbl 1388.78017Zhang, Ye; Lin, Guang-Liang; Forssén, Patrik; Gulliksson, Mårten; Fornstedt, Torgny; Cheng, Xiao-Liang 5 2016 A new coupled complex boundary method for bioluminescence tomography. Zbl 1373.74095Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin 3 2016 Numerical analysis of inverse elasticity problem with Signorini’s condition. Zbl 1373.74092Zheng, Cong; Cheng, Xiaoliang; Liang, Kewei 1 2016 Rothe method for parabolic variational-hemivariational inequalities. Zbl 1303.65053Bartosz, Krzysztof; Cheng, Xiaoliang; Kalita, Piotr; Yu, Yuanjie; Zheng, Cong 22 2015 A posteriori error estimates for discontinuous Galerkin methods of obstacle problems. Zbl 1304.65163Wang, Fei; Han, Weimin; Eichholz, Joseph; Cheng, Xiaoliang 21 2015 A new Kohn-Vogelius type formulation for inverse source problems. Zbl 1332.65157Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin 5 2015 Corrigendum to: “Acceleration of a two-grid method for eigenvalue problems”. Zbl 1321.65164Hu, Xiaozhe; Cheng, Xiaoliang 4 2015 A finite difference method for an inverse Sturm-Liouville problem in impedance form. Zbl 1328.65167Gao, Qin; Huang, Zhengda; Cheng, Xiaoliang 2 2015 Inverse spectral problem for the density of a vibrating elastic membrane. Zbl 1443.74217Gao, Qin; Huang, Zhengda; Cheng, Xiaoliang 1 2015 A numerical estimation of the piecewise constant Robin coefficient by identifying its discontinuous points. Zbl 1340.65255Cheng, Xiaoliang; Yu, Yuanjie 1 2015 Discontinuous Galerkin methods for solving a quasistatic contact problem. Zbl 1431.74106Wang, Fei; Han, Weimin; Cheng, Xiaoliang 20 2014 A novel for solving inverse source problems. Zbl 1290.35324Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin; Zheng, Xuan 14 2014 Analysis of two quasistatic history-dependent contact models. Zbl 1310.74035Cheng, Xiaoliang; Migórski, Stanisław; Ochal, Anna; Sofonea, Mircea 10 2014 On a boundary value method for computing Sturm-Liouville potentials from two spectra. Zbl 1305.34028Gao, Qin; Cheng, Xiaoliang; Huang, Zhengda 4 2014 A fast solver for an inverse problem arising in bioluminescence tomography. Zbl 1293.92011Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin 4 2014 A general framework for integration of bioluminescence tomography and diffuse optical tomography. Zbl 1308.65188Han, Weimin; Gong, Rongfang; Cheng, Xiaoliang 1 2014 On the optimal harvesting of size-structured population dynamics. Zbl 1299.49027Liu, Yan; Cheng, Xiaoliang; He, Zerong 7 2013 A variational binary level set method for structural topology optimization. Zbl 1373.49052Dai, Xiaoxia; Tang, Peipei; Cheng, Xiaoliang; Wu, Minghui 6 2013 Modified Numerov’s method for inverse Sturm-Liouville problems. Zbl 1288.65109Gao, Qin; Cheng, Xiaoliang; Huang, Zhengda 5 2013 CR submanifolds in a sphere and their Gauss maps. Zbl 1267.32012Cheng, XiaoLiang; Ji, ShanYu; Liu, WeiMing 2 2013 A numerical approach for defect modes localization in an inhomogeneous medium. Zbl 1300.78013Gu, Yiqi; Cheng, Xiaoliang 2 2013 Algorithms on the sparse solution of under-determined linear systems. Zbl 1299.65066Cheng, Xiaoliang; Zheng, Xuan; Han, Weimin 1 2013 A meshless method for solving the free boundary problem associated with unilateral obstacle. Zbl 1242.65126Yuan, 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 1257.32036Cheng, Xiaoliang; Ji, Shanyu 2 2012 An iterative algorithm based on the piecewise linear system for solving bilateral obstacle problems. Zbl 1255.65125Yuan, DaMing; Cheng, XiaoLiang 1 2012 Acceleration of a two-grid method for eigenvalue problems. Zbl 1232.65141Hu, Xiaozhe; Cheng, Xiaoliang 41 2011 Discontinuous Galerkin methods for solving the Signorini problem. Zbl 1315.74021Wang, Fei; Han, Weimin; Cheng, Xiaoliang 36 2011 Dielectric boundary force in molecular solvation with the Poisson-Boltzmann free energy: a shape derivative approach. Zbl 1234.35174Li, Bo; Cheng, Xiaoliang; Zhang, Zhengfang 15 2011 A linearly semi-implicit compact scheme for the Burgers-Huxley equation. Zbl 1213.65122Zhou, Shenggao; Cheng, Xiaoliang 13 2011 A theoretical framework of X-ray dark-field tomography. Zbl 1233.35195Han, 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 1221.65298Zhang, Zheng-Fang; Cheng, Xiao-Liang 4 2011 Greedy algorithms for eigenvalue optimization problems in shape design of two-density inhomogeneous materials. Zbl 1211.65150Zhang, Zheng-Fang; Liang, Ke-Wei; Cheng, Xiao-Liang 3 2011 Discontinuous Galerkin methods for solving elliptic variational inequalities. Zbl 1214.65039Wang, Fei; Han, Weimin; Cheng, Xiao-Liang 53 2010 Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains. Zbl 1197.65162Zhou, Shenggao; Cheng, Xiaoliang 15 2010 Iterative methods for a forward-backward heat equation in two-dimension. Zbl 1224.65209Sun, Jie; Cheng, Xiaoliang 5 2010 A novel approach for studies of multispectral bioluminescence tomography. Zbl 1190.92021Gong, 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 1364.65133Zhang, Zheng-Fang; Liang, Ke-Wei; Cheng, Xiao-Liang 4 2010 A numerical investigation of blow-up in reaction-diffusion problems with traveling heat sources. Zbl 1196.65150Zhu, Hancan; Liang, Kewei; Cheng, Xiaoliang 3 2010 Bioluminescence tomography for media with spatially varying refractive index. Zbl 1187.92060Gong, R. F.; Cheng, X.-L.; Han, W. 3 2010 Some iterative algorithms for the obstacle problems. Zbl 1204.65077Lian, Xiao-Peng; Cen, Zhongdi; Cheng, Xiao-Liang 2 2010 Theoretical analysis and numerical realization of bioluminescence tomography. Zbl 1190.92020Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin 1 2010 Numerical solution of the Falkner-Skan equation based on quasilinearization. Zbl 1179.65094Zhu, Shengfeng; Wu, Qingbiao; Cheng, Xiaoliang 8 2009 Error estimates for an operator-splitting method for Navier-Stokes equations: second-order schemes. Zbl 1167.76024Dai, Xiaoxia; Sun, Jie; Cheng, Xiaoliang 5 2009 A two-grid method based on Newton iteration for the Navier-Stokes equations. Zbl 1142.76030Dai, Xiaoxia; Cheng, Xiaoliang 32 2008 An algorithm for solving the double obstacle problems. Zbl 1146.74037Wang, Fei; Cheng, Xiaoliang 14 2008 A new general mathematical framework for bioluminescence tomography. Zbl 1169.92309Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin 8 2008 On the error estimate of finite difference method for the obstacle problem. Zbl 1133.65039Cheng, Xiao-Liang; Xue, Lian 13 2006 Analysis of the iterative penalty method for the Stokes equations. Zbl 1128.76032Cheng, Xiao-Liang; Shaikh, Abdul Wasim 11 2006 Iterative methods for the Poisson equation in \(L\)-shape domain based on domain decomposition method. Zbl 1111.65095Cheng, Xiao-Liang; Shaikh, Abdul Wasim 2 2006 The Fourier spectral method for the Cahn-Hilliard equation. Zbl 1093.65099Ye, Xingde; Cheng, Xiaoliang 17 2005 Iterative methods for the forward-backward heat equation. Zbl 1080.65072Cheng, Xiaoliang; Sun, Jie 7 2005 Experimental studies on critical heat flux in vertical tight 37-rod bundles using freon-12. Zbl 1135.76384Cheng, X. 1 2005 An algorithm for solving the obstacle problems. Zbl 1082.74038Xue, Lian; Cheng, Xiao-Liang 11 2004 Convergence rate to elliptic variational inequalities of the second kind by relaxation method. Zbl 1065.65086Xue, Lian; Cheng, Xiao-Liang 2 2004 An inexact Uzawa-type iterative method for solving saddle point problems. Zbl 1016.65011Cheng, Xiao-Liang; Zou, Jun 6 2003 Inexact Uzawa algorithms for variational inequalities of the second kind. Zbl 1033.65045Cheng, Xiao-liang; Han, Weimin 6 2003 Legendre spectral approximation for the Cahn-Hilliard equation. Zbl 1495.65185Ye, Xing De; Cheng, Xiao Liang 3 2003 A note on the perturbed trapezoid inequality. Zbl 0994.26020Cheng, Xiao-Liang; Sun, Jie 23 2002 Linear finite element approximations for the Timoshenko beam and the shallow arch problems. Zbl 1016.74065Cheng, Xiaoliang; Xue, Wei-min 4 2002 Legendre collocation approximation for Cahn-Hilliard equation. Zbl 1032.65115Ye, Xingde; Cheng, Xiaoliang 1 2002 Improvement of some Ostrowski-Grüss type inequalities. Zbl 0980.26011Cheng, Xiao-Liang 40 2001 The Iyengar-type inequality. Zbl 0987.26008Cheng, Xiao-Liang 8 2001 Some mixed finite element methods for biharmonic equation. Zbl 0973.65098Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci 22 2000 On the nonlinear inexact Uzawa algorithm for saddle-point problems. Zbl 0960.65032Cheng, Xiao-liang 21 2000 The inexact Uzawa algorithm for saddle point problem. Zbl 0955.65024Cheng, Xiao-Liang 3 2000 Quadrilateral finite elements for planar linear elasticity problem with large Lamé constant. Zbl 0928.74094Cheng, Xiaoliang; Huang, Hongci; Zou, Jun 2 1998 Turbulent natural convection coupled with thermal radiation in large vertical channels with asymmetric heating. Zbl 0925.76666Cheng, X.; Müller, U. 2 1998 Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems. Zbl 0878.73068Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci 7 1997 Analysis of some mixed elements for the Stokes problem. Zbl 0896.76035Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci 4 1997 A simple finite element method for the Reissner-Mindlin plate. Zbl 0792.73075Cheng, Xiaoliang 1 1994 A nonconforming element like Wilson’s for second order problems. Zbl 0850.65214Jiang, Jinsheng; Cheng, Xiaoliang 12 1992 On the stability of biquadratic-bilinear velocity-pressure finite elements. Zbl 0754.76055Jiang, Jinsheng; Cheng, Xiaoliang 3 1992 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 780 Authors 52 Cheng, Xiaoliang 46 Han, Weimin 21 Wang, Fei 18 Dragomir, Sever Silvestru 16 Gong, Rongfang 13 Migórski, Stanisław 12 Sofonea, Mircea 12 Zhang, Ye 11 Porwal, Kamana 10 Shi, Dongyang 8 Zhang, Zhengfang 7 Gudi, Thirupathi 7 Li, Bo 7 Xie, Hehu 6 Bartosz, Krzysztof 6 Bi, Hai 6 Cen, Zhongdi 6 Chen, Yanping 6 Feng, Qinghua 6 Gulliksson, Mårten E. 6 Jing, Feifei 6 Lin, Yiqin 6 Xuan, Hailing 6 Yang, Yidu 6 Zeng, Shengda 6 Zhang, Shougui 6 Zheng, Bin 6 Zhu, Shengfeng 5 An, Rong 5 Banei, Siamak 5 Han, Danfu 5 Hu, Xianliang 5 Khandelwal, Rohit 5 Li, Xiaolin 5 Liang, Kewei 5 Shanazari, Kamal 5 Shang, Yueqiang 5 Shao, Xinping 5 Ujević, Nenad 5 Wang, Xilu 4 Chakib, Abdelkrim 4 Chen, Weifeng 4 Dehghan Takht Fooladi, Mehdi 4 Feng, Xinlong 4 Hu, Xiaozhe 4 Huang, Yunqing 4 Lamichhane, Bishnu Prasad 4 Le, Anbo 4 Ling, Min 4 Ma, Changfeng 4 Meng, Fanwei 4 Mu, Lin 4 Nachaoui, Abdeljalil 4 Ngô Quốc Anh 4 Niezgoda, Marek 4 Weng, Zhifeng 3 Al-saedi, Ahmed Eid Salem 3 Arakelyan, Avetik 3 Bajpai, Saumya 3 Barboteu, Mikaël 3 Bi, Bo 3 Cerone, Pietro 3 Chen, Jinru 3 Dai, Xiaoxia 3 Fang, Changjie 3 Fornstedt, Torgny 3 Forssén, Patrik 3 Gaddam, Sharat 3 Han, Bo 3 Han, Jiangfeng 3 Han, Jiayu 3 He, Limin 3 Huang, Pengzhan 3 Huang, Zhengda 3 Khan, Asif Raza 3 Li, Fule 3 Lin, Guangliang 3 Liu, Chunxiao 3 Lu, Junfeng 3 Masjed-Jamei, Mohammad 3 Mehmood, Faraz 3 Nachaoui, Mourad 3 Nielsen, Bjørn Fredrik 3 Ouaissa, Hamid 3 Pani, Amiya Kumar 3 Shaikh, Abdul Wasim 3 Shaikh, Muhammad Awais 3 Tang, Jinping 3 Touzaline, Arezki 3 Wang, Cheng 3 Wang, Wansheng 3 Wei, Huayi 3 Xiao, Qichang 3 Xu, Aimin 3 Xu, Fei 3 Yan, Wenjing 3 Ye, Xingde 3 Yuan, Daming 3 Zhang, Shuo 3 Zhang, Yaoming ...and 680 more Authors all top 5 Cited in 168 Serials 45 Computers & Mathematics with Applications 41 Journal of Computational and Applied Mathematics 38 Applied Mathematics and Computation 20 Journal of Scientific Computing 18 International Journal of Computer Mathematics 14 Applied Mathematics Letters 13 Computer Methods in Applied Mechanics and Engineering 13 Journal of Computational Physics 13 Applied Numerical Mathematics 13 Numerical Algorithms 12 Applicable Analysis 12 Numerical Methods for Partial Differential Equations 11 Communications in Nonlinear Science and Numerical Simulation 8 Computational and Applied Mathematics 8 Journal of Inequalities and Applications 8 Inverse Problems in Science and Engineering 7 Mathematics of Computation 7 BIT 7 Nonlinear Analysis. 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(English Edition) 2 Annals of Global Analysis and Geometry 2 Bulletin of the Iranian Mathematical Society 2 Applications of Mathematics 2 Applicationes Mathematicae 2 Journal of Difference Equations and Applications 2 Mathematical Modelling and Analysis 2 Nihonkai Mathematical Journal 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 Inverse Problems and Imaging 2 Science China. Mathematics 2 Mathematical Control and Related Fields 2 Problemy Analiza. Issues of Analysis 2 East Asian Journal on Applied Mathematics 2 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 Chaos, Solitons and Fractals 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 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. 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Series Mathematics and Informatics 1 SIAM Journal on Matrix Analysis and Applications 1 European Journal of Applied Mathematics 1 Differential Geometry and its Applications ...and 68 more Serials all top 5 Cited in 36 Fields 402 Numerical analysis (65-XX) 225 Partial differential equations (35-XX) 99 Mechanics of deformable solids (74-XX) 93 Calculus of variations and optimal control; optimization (49-XX) 76 Fluid mechanics (76-XX) 62 Real functions (26-XX) 43 Operator theory (47-XX) 27 Biology and other natural sciences (92-XX) 18 Ordinary differential equations (34-XX) 16 Approximations and expansions (41-XX) 13 Optics, electromagnetic theory (78-XX) 12 Several complex variables and analytic spaces (32-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Integral equations (45-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Potential theory (31-XX) 8 Operations research, mathematical programming (90-XX) 6 Differential geometry (53-XX) 6 Probability theory and stochastic processes (60-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Information and communication theory, circuits (94-XX) 4 Computer science (68-XX) 4 Systems theory; control (93-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 1 Algebraic geometry (14-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 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) Citations by Year