Edit Profile (opens in new tab) Li, Kaitai Co-Author Distance Author ID: li.kaitai Published as: Li, Kaitai; Li, Kai-Tai; Li, Kai-tai; Li, Kai Tai; Li, K. more...less Further Spellings: 李開泰 Homepage: http://math.cts.nthu.edu.tw/Mathematics/visit_pro/KT_Li.html External Links: MGP · ResearchGate · dblp Documents Indexed: 286 Publications since 1982, including 2 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 107 Co-Authors with 275 Joint Publications 4,054 Co-Co-Authors all top 5 Co-Authors 1 single-authored 32 He, Yinnian 30 Huang, Aixiang 18 An, Rong 17 Li, Yuan 13 Hou, Yanren 13 Jia, Hongen 13 Wang, Heyuan 12 Zhao, Chunshan 10 Zhang, Zhengce 9 Su, Jian 8 Li, Dongsheng 8 Yu, Jiaping 8 Yu, Yongjiang 7 Feng, Weibing 7 Liu, Demin 7 Liu, Lianzhen 7 Ma, Yichen 7 Shi, Feng 7 Wang, Lizhou 6 Guo, Xiulan 6 Lin, Bin 6 Liu, Zhixing 6 Mei, Zhen 6 Shen, Xiaoqin 5 Chen, Zhangxin 5 Li, Du 5 Wang, Weimin 4 Li, Mingjun 4 Wang, Shangjin 4 Yang, Xiaozhong 4 Zhang, Chengdian 4 Zhang, Wenling 3 Dou, Jiawei 3 Hu, Changbing 3 Huang, Qibai 3 Wang, Xue 3 Zhang, Wu 3 Zhang, Yindi 2 Chen, Hongbin 2 Cheng, Zhengxing 2 Gao, Limin 2 Gao, Xinlin 2 Hong, Li 2 Hua, Cuncai 2 Jia, Huilian 2 Jia, Huiyong 2 Ju, Guoliang 2 Li, Gongsheng 2 Li, Jingzhi 2 Liu, Haihu 2 Shi, Dongyang 2 Wei, Gaofeng 2 Xu, Zhongfeng 2 Yang, Qian 2 Zhang, Feijun 2 Zhang, Quande 2 Zhang, Yin 1 Bai, Lin 1 Binder, Benjamin James 1 Cao, Xiaoshan 1 Chen, Guting 1 Chen, Hao 1 Chen, Lansun 1 Chen, Rongliang 1 Chen, Zhiqiang 1 Cheng, Anping 1 Cheng, Hong Bin 1 Chu, Yuchuan 1 Duan, Jinqiao 1 Fan, Hongzhou 1 Feng, Guorui 1 Feng, Wei 1 Gallo, Anthony J. 1 Gao, Fuhai 1 Gao, Hongfen 1 Gao, Shihao 1 Glowinski, Roland 1 Golubitsky, Martin A. 1 Green, J. Edward F. 1 Holm, Darryl Dallas 1 Hong, Jun 1 Hu, Guoqing 1 Iooss, Gérard 1 Jiang, Haihui 1 Jiang, Song 1 Jiang, Weifeng 1 Li, Baotong 1 Li, Can 1 Li, Cuihua 1 Li, Haoming 1 Li, Jian 1 Li, Ming 1 Li, Xiuqin 1 Li, Yang 1 Lin, Shou 1 Littlefield, A. G. 1 Liu, Ce 1 Liu, Kam-Moon 1 Liu, Qingfang 1 Liu, Songhua ...and 27 more Co-Authors all top 5 Serials 15 Journal of Xi’an Jiaotong University 14 Journal of Computational Mathematics 12 Acta Mathematicae Applicatae Sinica. English Series 10 Acta Mathematicae Applicatae Sinica 10 Applied Mathematics and Mechanics. (English Edition) 9 Mathematica Numerica Sinica 8 Acta Mathematica Sinica 8 Chinese Journal of Engineering Mathematics 7 Applied Mathematics and Computation 7 Numerical Methods for Partial Differential Equations 7 Mathematica Applicata 7 Applied Mathematics. Series A (Chinese Edition) 6 Computers & Mathematics with Applications 6 Chinese Annals of Mathematics. Series A 6 Journal of Partial Differential Equations 5 Journal of Mathematical Analysis and Applications 5 Journal of Engineering Mathematics (Xi’an) 4 Computer Methods in Applied Mechanics and Engineering 4 Acta Mathematica Scientia 4 Numerical Mathematics 4 Acta Mathematica Scientia. Series A. (Chinese Edition) 4 Acta Mathematica Scientia. Series B. (English Edition) 3 Computing 3 Journal of Computational and Applied Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Applied Mathematics Letters 3 Applied Mathematical Modelling 3 Applied Mathematics 3 Applied Mathematics. Series B (English Edition) 3 Discrete and Continuous Dynamical Systems 3 Acta Mathematica Sinica. English Series 3 International Journal of Numerical Analysis and Modeling 2 Mathematical Methods in the Applied Sciences 2 Chaos, Solitons and Fractals 2 Information Sciences 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Journal of Mathematical Research & Exposition 2 Chinese Annals of Mathematics. Series B 2 Systems Science and Mathematical Sciences 2 International Journal of Computer Mathematics 2 Communications in Numerical Methods in Engineering 2 Engineering Analysis with Boundary Elements 2 Mathematical Problems in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 AJXJTU. Academic Journal of Xi’an Jiaotong University 2 Scientia Sinica. Mathematica 1 Acta Mechanica 1 Applicable Analysis 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical Methods in Fluids 1 International Journal of Solids and Structures 1 Czechoslovak Mathematical Journal 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Studies in Applied Mathematics 1 Acta Mechanica Sinica 1 Journal of Lanzhou University. Natural Sciences 1 Acta Mathematica Hungarica 1 Advances in Mathematics (Beijing) 1 Bulletin of the Iranian Mathematical Society 1 Journal of Systems Science and Mathematical Sciences 1 Acta Physica Sinica 1 Journal of Biomathematics 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Dynamic Systems and Applications 1 Acta Mathematica Sinica. New Series 1 Applied Mechanics Reviews 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Physics of Fluids 1 Journal of Inverse and Ill-Posed Problems 1 NoDEA. Nonlinear Differential Equations and Applications 1 Pure and Applied Mathematics 1 Chinese Journal of Numerical Mathematics and Applications 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Mathematical Study 1 Progress in Natural Science 1 Journal of Shaanxi Normal University. Natural Science Edition 1 The ANZIAM Journal 1 Scientiae Mathematicae Japonicae 1 Journal of Systems Science and Complexity 1 Journal of Henan Normal University. Natural Science 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Contemporary Mathematics 1 Acta Mechanica Sinica 1 Frontiers of Mathematics in China 1 Communications in Computational Physics 1 International Journal of Intelligent Computing and Cybernetics 1 International Journal of Numerical Methods and Applications 1 Communication on Applied Mathematics and Computation 1 Fuzzy Systems and Mathematics 1 Journal of Theoretical Biology 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Electronic Research Archive all top 5 Fields 157 Fluid mechanics (76-XX) 134 Partial differential equations (35-XX) 133 Numerical analysis (65-XX) 28 Dynamical systems and ergodic theory (37-XX) 16 Ordinary differential equations (34-XX) 15 Mechanics of deformable solids (74-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Operator theory (47-XX) 9 Biology and other natural sciences (92-XX) 6 Geophysics (86-XX) 5 Mathematical logic and foundations (03-XX) 5 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Computer science (68-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 141 Publications have been cited 886 times in 583 Documents Cited by ▼ Year ▼ Two-level stabilized finite element methods for the steady Navier-Stokes problem. Zbl 1099.65111 He, Yinnian; Li, Kaitai 92 2005 Fuzzy filters of BL-algebras. Zbl 1075.03036 Liu, Lianzhen; Li, Kaitai 36 2005 An AIM and one-step Newton method for the Navier-Stokes equations. Zbl 1011.76045 Li, Kaitai; Hou, Yanren 35 2001 Fuzzy Boolean and positive implicative filters of BL-algebras. Zbl 1072.03037 Liu, Lianzhen; Li, Kaitai 35 2005 Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations. Zbl 0903.76052 He, Yinnian; Li, Kaitai 33 1998 Existence of the solution to stationary Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1221.35282 Li, Yuan; Li, Kaitai 33 2011 Pressure projection stabilized finite element method for Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1190.35176 Li, Yuan; Li, Kaitai 27 2010 Uzawa iteration method for Stokes type variational inequality of the second kind. Zbl 1211.35220 Li, Yuan; Li, Kai-Tai 23 2011 Penalty finite element method for Stokes problem with nonlinear slip boundary conditions. Zbl 1173.76023 Li, Yuan; Li, Kaitai 22 2008 A new stabilized mixed finite-element method for Poisson equation based on two local Gauss integrations for linear element pair. Zbl 1241.65091 Shi, Feng; Yu, Jiaping; Li, Kaitai 19 2011 Fuzzy implicative and Boolean filters of \(R_{0}\) algebras. Zbl 1066.03062 Liu, Lianzhen; Li, Kaitai 19 2005 Global strong solutions of two-dimensional Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1245.35083 Li, Yuan; Li, Kaitai 19 2012 Finite element analysis of the Stokes equations with damping. Zbl 1240.76015 Liu, Demin; Li, Kaitai 18 2010 Postprocessing Fourier Galerkin method for the Navier-Stokes equations. Zbl 1406.65096 Hou, Yanren; Li, Kaitai 17 2009 Nonlinear Galerkin method and two-step method for the Navier-Stokes equations. Zbl 0852.76042 He, Yinnian; Li, Kaitai 16 1996 The uniform attractor for the 2D non-autonomous Navier-Stokes flow in some unbounded domain. Zbl 1057.35031 Hou, Yanren; Li, Kaitai 16 2004 Existence and nonexistence of global solutions for the equation of dislocation of crystals. Zbl 0926.35073 Li, Kaitai; Zhang, Quande 15 1998 A dimension split method for the 3-D compressible Navier-Stokes equations in turbomachine. Zbl 0999.76080 Li, Kaitai; Huang, Aixiang; Zhang, Wenling 13 2002 Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem. Zbl 1140.76322 He, Yinnian; Li, Kaitai 13 2004 Characteristic stabilized finite element method for the transient Navier-Stokes equations. Zbl 1231.76150 Jia, Hongen; Li, Kaitai; Liu, Songhua 12 2010 Solvability of Navier-Stokes equations with leak boundary conditions. Zbl 1180.35404 An, Rong; Li, Yuan; Li, Kai-Tai 11 2009 A small eddy correction method for nonlinear dissipative evolutionary equations. Zbl 1130.76390 Hou, Yanren; Li, Kaitai 11 2003 Pressure projection stabilized finite element method for Stokes problem with nonlinear slip boundary conditions. Zbl 1285.76008 Li, Yuan; Li, Kaitai 10 2011 A dimensional splitting method for the linearly elastic shell. Zbl 1116.74037 Li, Kaitai; Shen, Xiaoqin 9 2007 Locally stabilized finite element method for the Stokes problem with nonlinear slip boundary conditions. Zbl 1240.76005 Li, Yuan; Li, Kaitai 9 2010 An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier-Stokes equations. Zbl 1134.76385 He, Yinnian; Wang, Aiwen; Chen, Zhangxin; Li, Kaitai 9 2003 On the rotating Navier-Stokes equations with mixed boundary conditions. Zbl 1151.35411 Li, Kaitai; An, Rong 9 2008 An improved localized radial basis function meshless method for computational aeroacoustics. Zbl 1259.76050 Li, K.; Huang, Q. B.; Wang, J. L.; Lin, L. G. 9 2011 On the existence of exactly one and two periodic solutions of Lienard equation. Zbl 1387.34062 Chen, Hongbin; Li, Kaitai; Li, Dongsheng 8 2004 Finite element nonlinear Galerkin methods for penalty Navier-Stokes equations. Zbl 0859.76040 Li, Kaitai; Zhou, Lei 8 1995 A decoupling method with different subdomain time steps for the non-stationary Navier-Stokes/Darcy model. Zbl 1399.65254 Jia, Huiyong; Shi, Peilin; Li, Kaitai; Jia, Hongen 8 2017 Existence of solutions for the MHD-Leray-alpha equations and their relations to the MHD equations. Zbl 1185.35201 Yu, Yongjiang; Li, Kaitai 7 2007 A third accurate operator splitting method. Zbl 1211.65140 Jia, Hongen; Li, Kaitai 7 2011 On existence, uniqueness and \(L^r\)-exponential stability for stationary solutions to the MHD equations in three-dimensional domains. Zbl 1060.35114 Zhao, Chunshan; Li, Kaitai 7 2004 Tangent space correction method for the Galerkin approximation based on two-grid finite element. Zbl 1094.65099 Hou, Yanren; Li, Kaitai 7 2006 Nonexistence of positive solutions of \(-\Delta u = K(x)u^p\) in \(\mathbb R^n\). Zbl 1139.35347 Wang, Weimin; Li, Kaitai; Hong, Li 7 2005 On positive solutions of the Lotka–Volterra cooperating models with diffusion. Zbl 1028.35070 Wang, Lizhou; Li, Kaitai 7 2003 The coupling of finite element method and boundary element method for two-dimensional Helmholtz equation in an exterior domain. Zbl 0633.65106 Jiang, Song; Li, Kaitai 6 1987 Mathematical aspect of the stream-function equations of compressible turbomachinery flows and their finite element approximations using optimal control. Zbl 0509.76071 Li, Kai-Tai; Huang, Ai-Xiang 6 1983 A new mixed finite element scheme for elliptic equations. Zbl 1240.76021 Shi, Feng; Yu, Jiaping; Li, Kaitai 6 2011 Stokes coupling method for the exterior flow. I: Approximate accuracy. Zbl 1137.76341 He, Yinnian; Li, Kaitai 6 1999 Taylor expansion algorithm for the branching solution of the Navier-Stokes equations. Zbl 1100.35079 Li, Kaitai; He, Yinnian 6 2005 Dimension splitting method for 3D rotating compressible Navier-Stokes equations in the turbomachinery. Zbl 1158.76316 Li, Kaitai; Liu, Demin 6 2009 Existence of solutions and Gevrey class regularity for Leray-alpha equations. Zbl 1081.35083 Yu, Yong-Jiang; Li, Kai-Tai 6 2005 Dual reciprocity hybrid boundary node method for acoustic eigenvalue problems. Zbl 1244.76076 Li, K.; Huang, Q. B.; Miao, Y. 6 2010 B-spline solution of a singularly perturbed boundary value problem arising in biology. Zbl 1198.65248 Lin, Bin; Li, Kaitai; Cheng, Zhengxing 6 2009 A dimension split method for the incompressible Navier-Stokes equations in three dimensions. Zbl 1455.76035 Chen, H.; Li, K.; Wang, S. 6 2013 The coupling of boundary integral and finite element methods for the Navier-Stokes equations in an exterior domain. Zbl 0667.76049 Li, Kaitai; He, Yinnian 5 1989 Optimal shape design for blade’s surface of an impeller via the Navier-Stokes equations. Zbl 1123.65064 Li, Kaitai; Su, Jian; Gao, Limin 5 2006 Pseudo-MTL algebras and pseudo-\(R_0\) algebras. Zbl 1080.06016 Liu, Lianzhen; Li, Kaitai 5 2005 An inverse parabolic problem for nonlinear source term with nonlinear boundary conditions. Zbl 1048.35136 Li, Gongsheng; Ma, Yichen; Li, Kaitai 5 2003 A monotone-iterative method for finding periodic solutions of an impulsive competition system on tumor-normal cell interaction. Zbl 1100.92027 Dou, Jiawei; Chen, Lansun; Li, Kaitai 5 2004 Variational inequality for the rotating Navier-Stokes equations with subdifferential boundary conditions. Zbl 1155.76316 An, Rong; Li, Kaitai 5 2008 Coupling method for the exterior stationary Navier-Stokes equations. Zbl 0765.76064 Li, Kaitai; He, Yinnian 5 1993 Spike-layered solutions of singularly perturbed quasilinear Dirichlet problems. Zbl 1073.35017 Zhang, Zhengce; Li, Kaitai 5 2003 An efficient two-grid method for the Cahn-Hilliard equation with the concentration-dependent mobility and the logarithmic Flory-Huggins bulk potential. Zbl 1472.65121 Jia, Hongen; Li, Yang; Feng, Guorui; Li, Kaitai 5 2020 An extrapolation method for BEM. Zbl 0673.65072 Yan, Ning; Li, Kaitai 4 1989 The global attractor of Navier-Stokes equations with linear dampness on the whole two-dimensional space and estimates of its dimensions. Zbl 0954.35132 Zhao, Chunshan; Li, Kaitai 4 2000 Dynamic crushing behavior of honeycomb structures with irregular cell shapes and non-uniform cell wall thickness. Zbl 1166.74424 Li, K.; Gao, X.-L.; Wang, J. 4 2007 Thermocapillary convection in floating zones. Zbl 1145.76365 Hu, W. R.; Tang, Z. M.; Li, K. 4 2008 Dimension splitting method for the three dimensional rotating Navier-Stokes equations. Zbl 1253.76127 Li, Kai-tai; Yu, Jia-ping; Shi, Feng; Huang, Ai-xiang 4 2012 Mixed finite element for two-dimensional incompressible convective Brinkman-Forchheimer equations. Zbl 1416.65457 Liu, Demin; Li, Kaitai 4 2019 Solvability of the 3D rotating Navier-Stokes equations coupled with a 2D biharmonic problem with obstacles and gradient restriction. Zbl 1205.35181 An, Rong; Li, Kaitai; Li, Yuan 3 2009 The coupling of boundary integral and finite element methods for the nonstationary exterior flow. Zbl 0922.76247 He, Yinnian; Li, Kaitai 3 1998 A new approximate inertial manifold and associated algorithm. Zbl 1103.65116 Li, Kaitai; Xu, Zhongfeng; Yang, Xiaozhong 3 2006 Comparison results for a kind of impulsive parabolic equations with application to population dynamics. Zbl 1106.35003 Dou, Jiawei; Li, Kaitai 3 2006 \(R_0\)-algebras and weak dually residuated lattice ordered semigroups. Zbl 1164.06324 Liu, Lianzhen; Li, Kaitai 3 2006 An asymptotic analysis method for the linear shell. Zbl 1095.74020 Li, Kaitai; Zhang, Wenling; Huang, Aixiang 3 2004 Gevrey class regularity for the viscous Camassa-Holm equations. Zbl 1122.35116 Yu, Yongjiang; Li, Kaitai 3 2005 The coupling of boundary element and finite element methods for the exterior nonstationary Navier-Stokes equations. Zbl 0734.76041 He, Yinnian; Li, Kaitai 3 1991 Stokes coupling method for the exterior flow. II: Well-posedness analysis. Zbl 0891.35116 Li, Kaitai; He, Yinnian 3 1996 On global \(L^ 2\) stability of large solutions to the three-dimensional evolution system of MHD type describing geophysical flow. Zbl 1125.76413 Zhao, Chunshan; Li, Kaitai 3 2001 Full discretization scheme for the dynamics of elliptic membrane shell model. Zbl 1473.65315 Shen, Xiaoqin; Yang, Qian; Bai, Lin; Li, Kaitai 3 2021 A dimension splitting and characteristic projection method for three-dimensional incompressible flow. Zbl 1404.76072 Chen, Hao; Li, Kaitai; Chu, Yuchuan; Chen, Zhiqiang; Yang, Yiren 3 2019 Gevrey class regularity and exponential decay property for Navier-Stokes-\(\alpha\) equations. Zbl 1185.35179 Yu, Yong-Jiang; Li, Kai-Tai; Huang, Ai-Xiang 2 2007 Boundary shape control of the Navier-Stokes equations and applications. Zbl 1359.49016 Li, Kaitai; Su, Jian; Huang, Aixiang 2 2010 Existence of weak solution of nonhomogeneous steady Navier-Stokes equations with mixed boundary conditions. Zbl 1212.35344 An, Rong; Li, Kaitai 2 2009 The existence and uniqueness of weak solution of the flow between two concentric rotating spheres. Zbl 0963.76021 Feng, Weibing; Li, Kaitai 2 2000 Fourier nonlinear Galerkin method for Navier-Stokes equations. Zbl 0982.76537 Li, Kaitai; Hou, Yanren 2 1996 Nonconforming finite element penalty method for Stokes equation. Zbl 0909.76051 Shi, Dongyang; Feng, Weibing; Li, Kaitai 2 1998 Mixed finite element approximation for the plate contact problem. Zbl 1240.74014 An, Rong; Li, Kaitai 2 2010 On the Lorenz systems for the incompressible flow between two concentric rotating cylinders. Zbl 1228.76184 Wang, Heyuan; Li, Kaitai 2 2010 An asymptotic analysis method for the linearly shell theory. Zbl 1138.74358 Li, Kaitai; Zhang, Wenling; Huang, Aixiang 2 2006 Stability and convergence of optimum spectral nonlinear Galerkin methods. Zbl 1006.35077 He, Yinnian; Hou, Yanren; Li, Kaitai 2 2001 Eigenvalue problem of the Stokes operator in the spherical gap region and its application. Zbl 1033.76044 Wang, Lizhou; Li, Dongsheng; Li, Kaitai 2 2001 Spike-layered solutions with compact support to some singularly perturbed quasilinear elliptic problems in general smooth domains. Zbl 1039.35044 Zhang, Zhengce; Li, Kaitai 2 2004 Global bifurcation and long time behavior of the Volterra-Lotka ecological model. Zbl 1091.92503 Li, Kaitai; Wang, Lizhou 2 2001 The coupling method of finite elements and boundary elements for radiation problem. Zbl 0705.65093 He, Yinnian; Li, Kaitai 2 1990 A splitting iterative method for the computation of \(TB\)-point. Zbl 1049.34509 Li, Kaitai; Mei, Zhen 2 1994 Full discrete nonlinear Galerkin method for the Navier-Stokes equations. Zbl 0807.76038 Li, Kaitai; He, Yinnian; Xiang, Yimin 2 1994 A stabilized characteristic-nonconforming finite element method for time-dependent incompressible Navier-Stokes equations. Zbl 1383.35140 Jia, Huiyong; Li, Kaitai; Jia, Hongen 2 2018 A new approximate model of nonlinearly elastic flexural shell and its numerical computation. Zbl 1308.74101 Shen, Xiaoqin; Li, Kaitai; Li, Can 2 2014 Metric tensor and curvature tensor in deformed shell middle surface. Zbl 1164.74511 Shen, Xiaoqin; Li, Kaitai 2 2007 Geometrical design of blade surfaces and boundary control of Navier-Stokes equations. Zbl 1164.76326 Li, Kaitai; Su, Jian; Huang, Aixiang 2 2007 Stabilized mixed finite element approximation for fourth order obstacle problem. Zbl 1212.65244 An, Rong; Li, Kaitai 2 2009 Recurrence method for solving singularly perturbed boundary value problems. Zbl 1203.65116 Lin, B.; Li, K.; Cheng, Z. 2 2010 Numerical analysis of bifurcation problems of nonlinear equations. Zbl 0628.65044 Li, Kaitai; Mei, Zhen; Zhang, Chengdian 1 1986 Optimal control finite element approximation for penalty variational formulation of the Navier-Stokes problem. Zbl 0492.76045 Li, Kaitai; Huang, Aixiang; Ma, Yichen; Li, Du; Liu, Zhixing 1 1982 Generalized Reynolds equation and variational inequality in lubrication theory. Zbl 0506.76039 Li, Kai-tai; Huang, Ai-xiang 1 1982 Optimal control finite element approximation for penalty variational formulation of three-dimensional Navier-Stokes problem. Zbl 0524.76040 Li, Kaitai; Huang, Aixiang; Ma, Yichen; Li, Du; Liu, Zhixing 1 1984 A linear unconditionally stable scheme for the incompressible Cahn-Hilliard-Navier-Stokes phase-field model. Zbl 1493.35071 Wang, Xue; Li, Kaitai; Jia, Hongen 1 2022 Full discretization scheme for the dynamics of elliptic membrane shell model. Zbl 1473.65315 Shen, Xiaoqin; Yang, Qian; Bai, Lin; Li, Kaitai 3 2021 An efficient two-grid method for the Cahn-Hilliard equation with the concentration-dependent mobility and the logarithmic Flory-Huggins bulk potential. Zbl 1472.65121 Jia, Hongen; Li, Yang; Feng, Guorui; Li, Kaitai 5 2020 A novel linear, unconditional energy stable scheme for the incompressible Cahn-Hilliard-Navier-Stokes phase-field model. Zbl 1524.65354 Jia, Hongen; Wang, Xue; Li, Kaitai 1 2020 Numerical simulation for 3D flow in flow channel of aeroengine turbine fan based on dimension splitting method. Zbl 1453.65327 Ju, Guoliang; Chen, Can; Chen, Rongliang; Li, Jingzhi; Li, Kaitai; Zhang, Shaohui 1 2020 Mixed finite element for two-dimensional incompressible convective Brinkman-Forchheimer equations. Zbl 1416.65457 Liu, Demin; Li, Kaitai 4 2019 A dimension splitting and characteristic projection method for three-dimensional incompressible flow. Zbl 1404.76072 Chen, Hao; Li, Kaitai; Chu, Yuchuan; Chen, Zhiqiang; Yang, Yiren 3 2019 A stabilized characteristic-nonconforming finite element method for time-dependent incompressible Navier-Stokes equations. Zbl 1383.35140 Jia, Huiyong; Li, Kaitai; Jia, Hongen 2 2018 A dimensional splitting method for 3D elastic shell with mixed tensor analysis on a 2D manifold embedded into a higher dimensional Riemannian space. Zbl 1438.74020 Li, Kaitai; Shen, Xiaoqin 1 2018 A decoupling method with different subdomain time steps for the non-stationary Navier-Stokes/Darcy model. Zbl 1399.65254 Jia, Huiyong; Shi, Peilin; Li, Kaitai; Jia, Hongen 8 2017 Some differential geometric relations in the elastic shell. Zbl 1400.74072 Shen, Xiaoqin; Li, Haoming; Li, Kaitai; Cao, Xiaoshan; Yang, Qian 1 2016 Explicit high accuracy maximum resolution dispersion relation preserving schemes for computational aeroacoustics. Zbl 1394.76080 Wang, J. L.; Huang, Q. B.; Liu, Z. X.; Li, K. 1 2015 A new approximate model of nonlinearly elastic flexural shell and its numerical computation. Zbl 1308.74101 Shen, Xiaoqin; Li, Kaitai; Li, Can 2 2014 On the error estimates of a new operator splitting method for the Navier-Stokes equations. Zbl 1313.76025 Jia, Hongen; Teng, Kaimin; Li, Kaitai 1 2014 A dimension split method for the incompressible Navier-Stokes equations in three dimensions. Zbl 1455.76035 Chen, H.; Li, K.; Wang, S. 6 2013 Global strong solutions of two-dimensional Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1245.35083 Li, Yuan; Li, Kaitai 19 2012 Dimension splitting method for the three dimensional rotating Navier-Stokes equations. Zbl 1253.76127 Li, Kai-tai; Yu, Jia-ping; Shi, Feng; Huang, Ai-xiang 4 2012 A variational multiscale method with bubble stabilization for the Oseen problem based on two local Gauss integrations. Zbl 1311.76023 Zheng, Haibiao; Yu, Jiaping; Li, Kaitai; Shi, Feng 1 2012 Existence of the solution to stationary Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1221.35282 Li, Yuan; Li, Kaitai 33 2011 Uzawa iteration method for Stokes type variational inequality of the second kind. Zbl 1211.35220 Li, Yuan; Li, Kai-Tai 23 2011 A new stabilized mixed finite-element method for Poisson equation based on two local Gauss integrations for linear element pair. Zbl 1241.65091 Shi, Feng; Yu, Jiaping; Li, Kaitai 19 2011 Pressure projection stabilized finite element method for Stokes problem with nonlinear slip boundary conditions. Zbl 1285.76008 Li, Yuan; Li, Kaitai 10 2011 An improved localized radial basis function meshless method for computational aeroacoustics. Zbl 1259.76050 Li, K.; Huang, Q. B.; Wang, J. L.; Lin, L. G. 9 2011 A third accurate operator splitting method. Zbl 1211.65140 Jia, Hongen; Li, Kaitai 7 2011 A new mixed finite element scheme for elliptic equations. Zbl 1240.76021 Shi, Feng; Yu, Jiaping; Li, Kaitai 6 2011 A characteristic stabilized finite element method for the non-stationary Navier-Stokes equations. Zbl 1231.76151 Jia, Hongen; Liu, Demin; Li, Kaitai 1 2011 Pressure projection stabilized finite element method for Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1190.35176 Li, Yuan; Li, Kaitai 27 2010 Finite element analysis of the Stokes equations with damping. Zbl 1240.76015 Liu, Demin; Li, Kaitai 18 2010 Characteristic stabilized finite element method for the transient Navier-Stokes equations. Zbl 1231.76150 Jia, Hongen; Li, Kaitai; Liu, Songhua 12 2010 Locally stabilized finite element method for the Stokes problem with nonlinear slip boundary conditions. Zbl 1240.76005 Li, Yuan; Li, Kaitai 9 2010 Dual reciprocity hybrid boundary node method for acoustic eigenvalue problems. Zbl 1244.76076 Li, K.; Huang, Q. B.; Miao, Y. 6 2010 Boundary shape control of the Navier-Stokes equations and applications. Zbl 1359.49016 Li, Kaitai; Su, Jian; Huang, Aixiang 2 2010 Mixed finite element approximation for the plate contact problem. Zbl 1240.74014 An, Rong; Li, Kaitai 2 2010 On the Lorenz systems for the incompressible flow between two concentric rotating cylinders. Zbl 1228.76184 Wang, Heyuan; Li, Kaitai 2 2010 Recurrence method for solving singularly perturbed boundary value problems. Zbl 1203.65116 Lin, B.; Li, K.; Cheng, Z. 2 2010 The \((1+3)\)-dimensional Burgers equation and its comparative solutions. Zbl 1207.65122 Lin, Bin; Li, Kaitai 1 2010 The boundary integral method for the steady rotating Navier-Stokes equations in exterior domain. I: The existence of solution. Zbl 1355.76052 An, Rong; Li, Kaitai 1 2010 Incompatible numerical manifold method for fracture problems. Zbl 1269.74212 Wei, Gaofeng; Li, Kaitai; Jiang, Haihui 1 2010 Postprocessing Fourier Galerkin method for the Navier-Stokes equations. Zbl 1406.65096 Hou, Yanren; Li, Kaitai 17 2009 Solvability of Navier-Stokes equations with leak boundary conditions. Zbl 1180.35404 An, Rong; Li, Yuan; Li, Kai-Tai 11 2009 Dimension splitting method for 3D rotating compressible Navier-Stokes equations in the turbomachinery. Zbl 1158.76316 Li, Kaitai; Liu, Demin 6 2009 B-spline solution of a singularly perturbed boundary value problem arising in biology. Zbl 1198.65248 Lin, Bin; Li, Kaitai; Cheng, Zhengxing 6 2009 Solvability of the 3D rotating Navier-Stokes equations coupled with a 2D biharmonic problem with obstacles and gradient restriction. Zbl 1205.35181 An, Rong; Li, Kaitai; Li, Yuan 3 2009 Existence of weak solution of nonhomogeneous steady Navier-Stokes equations with mixed boundary conditions. Zbl 1212.35344 An, Rong; Li, Kaitai 2 2009 Stabilized mixed finite element approximation for fourth order obstacle problem. Zbl 1212.65244 An, Rong; Li, Kaitai 2 2009 Regularity of solutions of stationary Navier-Stokes equations with mixed boundary conditions. Zbl 1199.35273 An, Rong; Li, Yuan; Li, Kaitai 1 2009 Penalty finite element method for Stokes problem with nonlinear slip boundary conditions. Zbl 1173.76023 Li, Yuan; Li, Kaitai 22 2008 On the rotating Navier-Stokes equations with mixed boundary conditions. Zbl 1151.35411 Li, Kaitai; An, Rong 9 2008 Variational inequality for the rotating Navier-Stokes equations with subdifferential boundary conditions. Zbl 1155.76316 An, Rong; Li, Kaitai 5 2008 Thermocapillary convection in floating zones. Zbl 1145.76365 Hu, W. R.; Tang, Z. M.; Li, K. 4 2008 The Navier-Stokes equations in stream layer or on stream surface and a dimension split method. Zbl 1174.76312 Li, Kaitai; Jia, Huilian 1 2008 General Reynolds equation and basic flow between two eccentric rotating cylinders. Zbl 1174.76006 Zhang, Yindi; Li, Kaitai 1 2008 The stream surface method and dimension split method for 3D viscous compressible flow in turbomachinery. Zbl 1174.76019 Li, Kaitai; Liu, Demin 1 2008 Nonexistence of ground states of \(-\Delta u = u^p - u^q\). Zbl 1186.35069 Wang, Weimin; Hong, Li; Li, Kaitai 1 2008 A dimensional splitting method for the linearly elastic shell. Zbl 1116.74037 Li, Kaitai; Shen, Xiaoqin 9 2007 Existence of solutions for the MHD-Leray-alpha equations and their relations to the MHD equations. Zbl 1185.35201 Yu, Yongjiang; Li, Kaitai 7 2007 Dynamic crushing behavior of honeycomb structures with irregular cell shapes and non-uniform cell wall thickness. Zbl 1166.74424 Li, K.; Gao, X.-L.; Wang, J. 4 2007 Gevrey class regularity and exponential decay property for Navier-Stokes-\(\alpha\) equations. Zbl 1185.35179 Yu, Yong-Jiang; Li, Kai-Tai; Huang, Ai-Xiang 2 2007 Metric tensor and curvature tensor in deformed shell middle surface. Zbl 1164.74511 Shen, Xiaoqin; Li, Kaitai 2 2007 Geometrical design of blade surfaces and boundary control of Navier-Stokes equations. Zbl 1164.76326 Li, Kaitai; Su, Jian; Huang, Aixiang 2 2007 A new Pokhozhaev identity and its application to fourth order quasilinear elliptic equations. Zbl 1164.35355 Li, Yuan; An, Rong; Li, Kaitai 1 2007 Finite element approximation for fourth-order nonlinear problem in the plane. Zbl 1193.65195 An, Rong; Li, Yuan; Li, Kaitai 1 2007 Some optimal error estimates of biharmonic problem using conforming finite element. Zbl 1193.65202 Li, Yuan; An, Rong; Li, Kaitai 1 2007 Tangent space correction method for the Galerkin approximation based on two-grid finite element. Zbl 1094.65099 Hou, Yanren; Li, Kaitai 7 2006 Optimal shape design for blade’s surface of an impeller via the Navier-Stokes equations. Zbl 1123.65064 Li, Kaitai; Su, Jian; Gao, Limin 5 2006 A new approximate inertial manifold and associated algorithm. Zbl 1103.65116 Li, Kaitai; Xu, Zhongfeng; Yang, Xiaozhong 3 2006 Comparison results for a kind of impulsive parabolic equations with application to population dynamics. Zbl 1106.35003 Dou, Jiawei; Li, Kaitai 3 2006 \(R_0\)-algebras and weak dually residuated lattice ordered semigroups. Zbl 1164.06324 Liu, Lianzhen; Li, Kaitai 3 2006 An asymptotic analysis method for the linearly shell theory. Zbl 1138.74358 Li, Kaitai; Zhang, Wenling; Huang, Aixiang 2 2006 Two-level stabilized finite element methods for the steady Navier-Stokes problem. Zbl 1099.65111 He, Yinnian; Li, Kaitai 92 2005 Fuzzy filters of BL-algebras. Zbl 1075.03036 Liu, Lianzhen; Li, Kaitai 36 2005 Fuzzy Boolean and positive implicative filters of BL-algebras. Zbl 1072.03037 Liu, Lianzhen; Li, Kaitai 35 2005 Fuzzy implicative and Boolean filters of \(R_{0}\) algebras. Zbl 1066.03062 Liu, Lianzhen; Li, Kaitai 19 2005 Nonexistence of positive solutions of \(-\Delta u = K(x)u^p\) in \(\mathbb R^n\). Zbl 1139.35347 Wang, Weimin; Li, Kaitai; Hong, Li 7 2005 Taylor expansion algorithm for the branching solution of the Navier-Stokes equations. Zbl 1100.35079 Li, Kaitai; He, Yinnian 6 2005 Existence of solutions and Gevrey class regularity for Leray-alpha equations. Zbl 1081.35083 Yu, Yong-Jiang; Li, Kai-Tai 6 2005 Pseudo-MTL algebras and pseudo-\(R_0\) algebras. Zbl 1080.06016 Liu, Lianzhen; Li, Kaitai 5 2005 Gevrey class regularity for the viscous Camassa-Holm equations. Zbl 1122.35116 Yu, Yongjiang; Li, Kaitai 3 2005 Liouville-type theorems for semilinear elliptic systems. Zbl 1112.35076 Zhang, Zhengce; Wang, Weimin; Li, Kaitai 1 2005 The uniform attractor for the 2D non-autonomous Navier-Stokes flow in some unbounded domain. Zbl 1057.35031 Hou, Yanren; Li, Kaitai 16 2004 Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem. Zbl 1140.76322 He, Yinnian; Li, Kaitai 13 2004 On the existence of exactly one and two periodic solutions of Lienard equation. Zbl 1387.34062 Chen, Hongbin; Li, Kaitai; Li, Dongsheng 8 2004 On existence, uniqueness and \(L^r\)-exponential stability for stationary solutions to the MHD equations in three-dimensional domains. Zbl 1060.35114 Zhao, Chunshan; Li, Kaitai 7 2004 A monotone-iterative method for finding periodic solutions of an impulsive competition system on tumor-normal cell interaction. Zbl 1100.92027 Dou, Jiawei; Chen, Lansun; Li, Kaitai 5 2004 An asymptotic analysis method for the linear shell. Zbl 1095.74020 Li, Kaitai; Zhang, Wenling; Huang, Aixiang 3 2004 Spike-layered solutions with compact support to some singularly perturbed quasilinear elliptic problems in general smooth domains. Zbl 1039.35044 Zhang, Zhengce; Li, Kaitai 2 2004 Structure of nonnegative nontrivial and positive solutions of singularly perturbed \(p\)-Laplace equations. Zbl 1129.35411 Zhang, Zhengce; Li, Kaitai 1 2004 Spectral Galerkin approximation of Couette-Taylor flow. Zbl 1147.76597 Wang, Heyuan; Li, Kaitai 1 2004 Radial oscillatory solutions of some quasi-linear elliptic equations. Zbl 1154.35355 Zhang, Zhengce; Li, Kaitai 1 2004 A small eddy correction method for nonlinear dissipative evolutionary equations. Zbl 1130.76390 Hou, Yanren; Li, Kaitai 11 2003 An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier-Stokes equations. Zbl 1134.76385 He, Yinnian; Wang, Aiwen; Chen, Zhangxin; Li, Kaitai 9 2003 On positive solutions of the Lotka–Volterra cooperating models with diffusion. Zbl 1028.35070 Wang, Lizhou; Li, Kaitai 7 2003 An inverse parabolic problem for nonlinear source term with nonlinear boundary conditions. Zbl 1048.35136 Li, Gongsheng; Ma, Yichen; Li, Kaitai 5 2003 Spike-layered solutions of singularly perturbed quasilinear Dirichlet problems. Zbl 1073.35017 Zhang, Zhengce; Li, Kaitai 5 2003 Current trends in scientific computing. ICM 2002 Beijing satellite conference on scientific computing, August 15–18, 2002, Xi’an, China. Zbl 1024.00037 1 2003 A dimension split method for the 3-D compressible Navier-Stokes equations in turbomachine. Zbl 0999.76080 Li, Kaitai; Huang, Aixiang; Zhang, Wenling 13 2002 Stability of Galerkin and inertial algorithms with variable time step size. Zbl 1018.65111 He, Yinnian; Li, Kaitai 1 2002 The long time behaviors of non-autonomous evolution system describing geophysical flow within the Earth. Zbl 1038.37061 Zhao, Chunshan; Li, Kaitai; Huang, Aixiang 1 2002 Spike-layered solutions of singularly perturbed quasilinear Dirichlet problems on ball. Zbl 1218.35100 Zhang, Zhengce; Li, Kaitai; Guo, Xiulan 1 2002 An AIM and one-step Newton method for the Navier-Stokes equations. Zbl 1011.76045 Li, Kaitai; Hou, Yanren 35 2001 ...and 41 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 718 Authors 66 He, Yinnian 46 Li, Kaitai 23 An, Rong 21 Shang, Yueqiang 19 Hou, Yanren 19 Shi, Dongyang 18 Feng, Xinlong 18 Huang, Pengzhan 18 Li, Jian 16 Zhang, Tong 14 Li, Yuan 11 Jing, Feifei 11 Mei, Liquan 10 Han, Weimin 10 Qiu, Hailong 8 Zhan, Jianming 8 Zheng, Haibiao 7 Jia, Hongen 7 Liu, Qingfang 7 Migórski, Stanisław 7 Shen, Xiaoqin 7 Si, Zhiyong 6 Du, Guangzhi 6 Jun, Young Bae 6 Wang, Kun 6 Xu, Yang 6 Zhang, Zhengce 5 Djoko, Jules K. 5 Hou, Tianliang 5 Jiang, Jinping 5 Lele, Celestin 5 Liu, Lianzhen 5 Shi, Feng 5 Zhang, Yan 5 Zhang, Yongchao 4 Chen, Zhangxin 4 Cheng, Yumin 4 Dimova, Milena 4 Dudek, Sylwia 4 Fang, Zhichao 4 Feng, Minfu 4 Ge, Zhihao 4 He, Siriguleng 4 Huang, Aixiang 4 Jin, Jiaojiao 4 Koko, Jonas 4 Kolkovska, Natalia T. 4 Kutev, Nikolai D. 4 Li, Gongsheng 4 Li, Hong 4 Li, Minghao 4 Liu, Bingwen 4 Liu, Demin 4 Liu, Yang 4 Ma, Xueling 4 Ma, Zhenming 4 Ren, Jincheng 4 Rojas-Medar, Marko Antonio 4 Su, Jian 4 Wang, Wei 4 Wang, Xiaoxia 4 Weng, Zhifeng 4 Xu, Hui 4 Yan, Wenjing 4 Yang, Huaijun 4 Yang, Xinguang 4 Zhang, Shuhua 4 Zhao, Caidi 4 Zhou, Kangrui 4 Zuo, Liyun 3 Al Mahbub, Md. Abdullah 3 Caucao, Sergio 3 Cung The Anh 3 Fang, Changjie 3 Gao, Wei 3 Gatica, Gabriel N. 3 Guo, Yingwen 3 He, Pengfei 3 Huang, Yunqing 3 Kaitai, Li 3 Kashiwabara, Takahito 3 Li, Juntao 3 Li, Zhenzhen 3 Liu, Chunmei 3 Lu, Xiaoli 3 Luo, Zhendong 3 Meng, Zhijuan 3 Novo, Julia 3 Pao, Chia-Ven 3 Qin, Jin 3 Qiu, Hua 3 Sassi, Taoufik 3 Sun, Fengxin 3 Sun, Weiwei 3 Wang, Danxia 3 Wang, Heyuan 3 Wang, Jufeng 3 Wang, Juntao 3 Wang, Wansheng 3 Wang, Zhiheng ...and 618 more Authors all top 5 Cited in 147 Serials 34 Computers & Mathematics with Applications 32 Applied Mathematics and Computation 29 Journal of Computational and Applied Mathematics 28 Journal of Scientific Computing 25 Applied Numerical Mathematics 23 Numerical Methods for Partial Differential Equations 18 Applied Mathematics and Mechanics. (English Edition) 15 International Journal of Computer Mathematics 14 Journal of Mathematical Analysis and Applications 13 Nonlinear Analysis. Theory, Methods & Applications. 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Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of Dynamical and Control Systems 2 Mathematical Modelling and Analysis 2 Journal of Systems Science and Complexity 2 Journal of Applied Mathematics and Computing 2 International Journal of Computational Methods 2 International Journal of Numerical Analysis and Modeling 2 Frontiers of Mathematics in China 2 Communications in Computational Physics 2 Fuzzy Information and Engineering 2 Evolution Equations and Control Theory 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 International Journal of Engineering Science 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica Vietnamica 1 Archiv der Mathematik 1 BIT 1 Calcolo 1 Czechoslovak Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Systems & Control Letters 1 Bulletin of the Korean Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Computational Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Mathematica Bohemica 1 Computational Mathematics and Mathematical Physics ...and 47 more Serials all top 5 Cited in 31 Fields 342 Numerical analysis (65-XX) 312 Fluid mechanics (76-XX) 280 Partial differential equations (35-XX) 53 Mathematical logic and foundations (03-XX) 39 Order, lattices, ordered algebraic structures (06-XX) 27 Mechanics of deformable solids (74-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 22 Operator theory (47-XX) 21 Ordinary differential equations (34-XX) 20 Biology and other natural sciences (92-XX) 15 Dynamical systems and ergodic theory (37-XX) 8 Integral equations (45-XX) 7 Geophysics (86-XX) 5 Systems theory; control (93-XX) 4 General algebraic systems (08-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Differential geometry (53-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year