Edit Profile Liu, Gui-Rong Compute Distance To: Compute Author ID: liu.gui-rong Published as: Liu, G.; Liu, G. R.; Liu, Gui R.; Liu, Gui Rong; Liu, Gui-Rong; Liu, Guirong Documents Indexed: 309 Publications since 1990, including 8 Books all top 5 Co-Authors 12 single-authored 36 Han, Xu 31 Zhang, GuiYong 29 Lam, Khin-Yong 27 Gu, Yuantong 26 Li, Guangyao 20 He, Zhicheng 19 Nguyen-Thoi, Trung 19 Nguyen-Xuan, Hung 16 Zhang, Zhiqian 16 Zhong, Zhihua 14 Dai, Kaiyu 14 Liu, Moubin 13 Cui, Xiangyang 13 Li, Eric 12 Chen, Lei 11 Jiang, Chen 11 Xu, Xu 9 Niu, Ruiping 8 Cheng, Ai Guo 7 Li, Yangyang 7 Xu, George X. 7 Yao, Jianyao 7 Zeng, Wei 5 Kee, Bernard B. T. 5 Khoo, Boo Cheong 5 Zeng, Kaiyang 5 Zong, Zhi 4 Gao, Guangjun 4 Li, Hua 4 Rabczuk, Timon 4 Tan, Vincent Beng Chye 4 Wang, Guangyu 4 Wang, Yingyang 4 Zhang, Yongqiang 3 Bao, Yangjuan 3 Bordas, Stéphane Pierre Alain 3 Huang, Yu 3 Li, Mengyang 3 Liu, Xiaojing 3 Nourbakhshnia, N. 3 Ohyoshi, Tadashi 3 Patera, Anthony T. 3 Wang, Jiao-Guo 3 Xi, Zhichen 3 Yue, Junhong 3 Zaw, Khin 2 Achenbach, Jan D. 2 Amano, Ryoichi S. 2 Bui, Tinh Quoc 2 Chen, Chung-Lung 2 Chen, Haodong 2 Cheng, Menghong 2 Deng, Bin 2 Du, Chen Fei 2 Duan, Shuyu 2 Han, Dong 2 Hao, Zhifeng 2 Huo, Shihui 2 Kerfriden, Pierre 2 Lee, Chang-Kye 2 Li, Mengtian 2 Li, Wei 2 Liang, Yanchun 2 Lim, K. M. K. 2 Lu, ChunHsien 2 Luan, Maotian 2 Nguyen, Ngoc Cuong 2 Nguyen, Thu Thuy 2 Song, Bingbing 2 Song, Cheng Xiang 2 Tai, Kang 2 Tang, Qian 2 Tani, Junji 2 Tay, Tong-Earn 2 Tong, Wenhao 2 Vu-Bac, N. 2 Vu Do, Huy Cuong 2 Wang, Jizeng 2 Wang, Shengyin 2 Wang, Wenquan 2 Watanabe, Kazumi 2 Wu, Cheng-Tang 2 Wu, Fu 2 Wu, Ting-Yi 2 Wu, Tsu-Yang 2 Wu, Tsung-Yao 2 Wu, Tung-Yueh 2 Wu, Tzong Yann 2 Xu, Yinge 2 Xu, Youguang 2 Yan, Yan 2 Yang, Xiaowei 2 Zhang, Jian 2 Zhao, Xiaodi 2 Zheng, Gang 2 Zhou, C. E. 2 Zhou, Youhe 1 Abdallah, Shaaban 1 Anantharaman, Devanathan 1 Augarde, Charles Edward ...and 202 more Co-Authors all top 5 Serials 55 International Journal of Computational Methods 40 Computational Mechanics 35 Computer Methods in Applied Mechanics and Engineering 33 International Journal for Numerical Methods in Engineering 31 Engineering Analysis with Boundary Elements 9 International Journal of Solids and Structures 7 International Journal for Numerical Methods in Fluids 6 Computers and Fluids 5 Journal of Computational Physics 4 Journal of Sound and Vibration 4 CMES. Computer Modeling in Engineering & Sciences 4 Archives of Computational Methods in Engineering 3 Acta Mechanica 3 International Journal of Mechanical Sciences 3 Journal of Applied Mechanics 3 Applied Mathematical Modelling 3 Communications in Numerical Methods in Engineering 3 International Journal for Numerical Methods in Biomedical Engineering 2 Computers & Mathematics with Applications 2 International Journal of Heat and Mass Transfer 2 Wave Motion 2 Shock Waves 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 European Journal of Mechanics. A. Solids 2 Progress in Natural Science 2 Inverse Problems in Science and Engineering 1 Applicable Analysis 1 International Journal of Engineering Science 1 Physics Letters. A 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Mechanics Research Communications 1 Applied Numerical Mathematics 1 Finite Elements in Analysis and Design 1 Mathematical and Computer Modelling 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 European Journal of Operational Research 1 Archive of Applied Mechanics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Mathematical Problems in Engineering 1 Tsinghua Science and Technology 1 Journal of Applied Mathematics 1 Journal of Computational Acoustics 1 Acta Mechanica Sinica 1 Journal of North University of China. Natural Science Edition 1 International Journal of Structural Stability and Dynamics all top 5 Fields 226 Mechanics of deformable solids (74-XX) 98 Numerical analysis (65-XX) 67 Fluid mechanics (76-XX) 13 Classical thermodynamics, heat transfer (80-XX) 13 Biology and other natural sciences (92-XX) 7 Partial differential equations (35-XX) 5 Ordinary differential equations (34-XX) 4 Operations research, mathematical programming (90-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 265 Publications have been cited 7,001 times in 2,351 Documents Cited by ▼ Year ▼ Smoothed particle hydrodynamics. A meshfree particle method. Zbl 1046.76001Liu, G. R.; Liu, M. B. 292 2003 A smoothed finite element method for mechanics problems. Zbl 1169.74047Liu, G. R.; Dai, K. Y.; Nguyen, T. T. 259 2007 A point interpolation method for two-dimensional solids. Zbl 1050.74057Liu, G. R.; Gu, Y. T. 248 2001 A point interpolation meshless method based on radial basis functions. Zbl 1098.74741Wang, J. G.; Liu, G. R. 244 2002 Smoothed particle hydrodynamics (SPH): an overview and recent developments. Zbl 1348.76117Liu, M. B.; Liu, G. R. 181 2010 Theoretical aspects of the smoothed finite element method (SFEM). Zbl 1194.74432Liu, G. R.; Nguyen, T. T.; Dai, K. Y.; Lam, K. Y. 167 2007 A generalized gradient smoothing technique and the smoothed bilinear form for Galerkin formulation of a wide class of computational methods. Zbl 1222.74044Liu, G. R. 151 2008 Mesh free methods. Moving beyond the finite element method. Zbl 1031.74001Liu, Gui-Rong 151 2003 On the optimal shape parameters of radial basis functions used for 2-D meshless methods. Zbl 1065.74074Wang, J. G.; Liu, G. R. 143 2002 A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically nonlinear solid mechanics problems using 4-node tetrahedral elements. Zbl 1183.74299Nguyen-Thoi, T.; Liu, G. R.; Lam, K. Y.; Zhang, G. Y. 118 2009 The finite element method: A practical course. Zbl 1027.74001Liu, G. R.; Quek, S. S. 116 2003 A linearly conforming point interpolation method (LC-PIM) for 2D solid mechanics problems. Zbl 1137.74303Liu, G. R.; Zhang, G. Y.; Dai, K. Y.; Wang, Y. Y.; Zhong, Z. H.; Li, G. Y.; Han, X. 98 2005 Upper bound solution to elasticity problems: A unique property of the linearly conforming point interpolation method (LC-PIM). Zbl 1158.74532Liu, G. R.; Zhang, G. Y. 92 2008 A novel alpha finite element method (\(\alpha \)FEM) for exact solution to mechanics problems using triangular and tetrahedral elements. Zbl 1194.74433Liu, G. R.; Nguyen-Thoi, T.; Lam, K. Y. 86 2008 Meshfree methods. Moving beyond the finite element method. 2nd ed. Zbl 1205.74003Liu, G. R. 84 2010 A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids. Zbl 1162.74498Gu, Y. T.; Liu, G. R. 70 2001 Restoring particle consistency in smoothed particle hydrodynamics. Zbl 1329.76285Liu, M. B.; Liu, G. R. 69 2006 A boundary point interpolation method for stress analysis of solids. Zbl 1115.74380Gu, Y. T.; Liu, G. R. 69 2002 A G space theory and a weakened weak (\(W^2\)) form for a unified formulation of compatible and incompatible methods. I: Theory. Zbl 1183.74358Liu, G. R. 66 2010 Additional properties of the node-based smoothed finite element method (NS-FEM) for solid mechanics problems. Zbl 1267.74115Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H. 63 2009 A linearly conforming point interpolation method (LC-PIM) for three-dimensional elasticity problems. Zbl 1194.74543Zhang, G. Y.; Liu, G. R.; Wang, Y. Y.; Huang, H. T.; Zhong, Z. H.; Li, G. Y.; Han, X. 63 2007 A linearly conforming radial point interpolation method for solid mechanics problems. Zbl 1198.74120Liu, G. R.; Li, Y.; Dai, K. Y.; Luan, M. T.; Xue, W. 63 2006 An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates. Zbl 1227.74083Nguyen-Xuan, H.; Liu, G. R.; Thai-Hoang, C.; Nguyen-Thoi, T. 62 2010 A local point interpolation method for static and dynamic analysis of thin beams. Zbl 1059.74060Gu, Y. T.; Liu, G. R. 62 2001 A nonlinear interval number programming method for uncertain optimization problems. Zbl 1135.90044Jiang, C.; Han, X.; Liu, G. R.; Liu, G. P. 60 2008 Constructing smoothing functions in smoothed particle hydrodynamics with applications. Zbl 1065.76167Liu, M. B.; Liu, G. R.; Lam, K. Y. 60 2003 Edge-based smoothed point interpolation methods. Zbl 1264.74284Liu, G. R.; Zhang, G. Y. 59 2008 A meshfree radial point interpolation method (RPIM) for three-dimensional solids. Zbl 1138.74420Liu, G. R.; Zhang, G. Y.; Gu, Y. T.; Wang, Y. Y. 59 2005 A normed G space and weakened weak (\(\mathrm W^2\)) formulation of a cell-based smoothed point interpolation method. Zbl 1264.74285Liu, G. R.; Zhang, G. Y. 58 2009 On G space theory. Zbl 1264.74266Liu, G. R. 56 2009 Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth. Zbl 1243.74170Chen, Lei; Rabczuk, Timon; Bordas, S. P. A.; Liu, Guirong; Zeng, Kai-Yang; Kerfriden, P. 55 2012 A face-based smoothed finite element method (FS-FEM) for visco-elastoplastic analyses of 3D solids using tetrahedral mesh. Zbl 1230.74193Nguyen-Thoi, T.; Liu, G. R.; Vu-Do, H. C.; Nguyen-Xuan, H. 55 2009 Computational inverse techniques in nondestructive evaluation. Zbl 1067.74002Liu, G. R.; Han, X. 55 2003 Smoothed point interpolation methods. G space theory and weakened weak forms. Zbl 1278.65002Liu, G. R.; Zhang, G. Y. 48 2013 A meshfree weak-strong (MWS) form method for time-dependent problems. Zbl 1109.74371Gu, Y. T.; Liu, G. R. 48 2005 A meshfree method: meshfree weak-strong (MWS) form method, for 2-D solids. Zbl 1063.74105Liu, G. R.; Gu, Y. T. 48 2003 A G space theory and a weakened weak (\(W^2\)) form for a unified formulation of compatible and incompatible methods. II: Applications to solid mechanics problems. Zbl 1183.74359Liu, G. R. 45 2010 An edge-based smoothed finite element method (ES-FEM) for analyzing three-dimensional acoustic problems. Zbl 1231.76147He, Z. C.; Liu, G. R.; Zhong, Z. H.; Wu, S. C.; Zhang, G. Y.; Cheng, A. G. 45 2009 A theoretical study on the smoothed FEM (S-FEM) models: properties, accuracy and convergence rates. Zbl 1202.74180Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Thoi, T. 44 2010 Boundary meshfree methods based on the boundary point interpolation methods. Zbl 1130.74466Liu, G. R.; Gu, Y. T. 44 2004 A smoothed finite element method (SFEM) for linear and geometrically nonlinear analysis of plates and shells. Zbl 1232.74099Cui, X. Y.; Liu, G. R.; Li, G. Y.; Zhao, X.; Nguyen, T. T.; Sun, G. Y. 43 2008 The upper bound property for solid mechanics of the linearly conforming radial point interpolation method (LC-RPIM). Zbl 1198.74123Zhang, G. Y.; Liu, G. R.; Nguyen, T. T.; Song, C. X.; Han, X.; Zhong, Z. H.; Li, G. Y. 43 2007 An edge-based smoothed finite element method for primal-dual shakedown analysis of structures. Zbl 1188.74073Tran, Thanh Ngoc; Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Thoi, T. 42 2010 Modeling incompressible flows using a finite particle method. Zbl 1163.76404Liu, M. B.; Xie, W. P.; Liu, G. R. 42 2005 An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order. Zbl 1297.74126Nguyen-Xuan, H.; Liu, G. R.; Bordas, S.; Natarajan, S.; Rabczuk, T. 41 2013 Numerical analysis of Biot’s consolidation process by radial point interpolation method. Zbl 1061.74014Wang, J. G.; Liu, G. R.; Lin, P. 41 2002 Assessment and applications of point interpolation methods for computational mechanics. Zbl 1041.74562Liu, G. R.; Gu, Y. T.; Dai, K. Y. 40 2004 Comparison between the radial point interpolation and the Kriging interpolation used in meshfree methods. Zbl 1035.74059Dai, K. Y.; Liu, G. R.; Lim, K. M.; Gu, Y. T. 40 2003 Computer simulation of high explosive explosion using smoothed particle hydrodynamics methodology. Zbl 1009.76525Liu, M. B.; Liu, G. R.; Zong, Z.; Lam, K. Y. 40 2003 Meshless local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches. Zbl 0990.74070Liu, G. R.; Gu, Y. T. 40 2000 A novel singular node-based smoothed finite element method (NS-FEM) for upper bound solutions of fracture problems. Zbl 1202.74179Liu, G. R.; Chen, L.; Nguyen-Thoi, T.; Zeng, K. Y.; Zhang, G. Y. 39 2010 An edge-based smoothed finite element method for visco-elastoplastic analyses of 2D solids using triangular mesh. Zbl 1398.74382Nguyen-Thoi, T.; Liu, G. R.; Vu-Do, H. C.; Nguyen-Xuan, H. 39 2009 An adaptive procedure based on background cells for meshless methods. Zbl 1098.74738Liu, G. R.; Tu, Z. H. 39 2002 A nodal integration technique for meshfree radial point interpolation method (NI-RPIM). Zbl 1135.74050Liu, G. R.; Zhang, G. Y.; Wang, Y. Y.; Zhong, Z. H.; Li, G. Y.; Han, X. 38 2007 Adaptive analysis using the node-based smoothed finite element method (NS-FEM). Zbl 1370.74144Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Tran, C. 37 2011 An overview on smoothed particle hydrodynamics. Zbl 1257.76092Liu, M. B.; Liu, G. R.; Zong, Z. 37 2008 Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval. Zbl 1173.74364Jiang, C.; Han, X.; Liu, G. R. 37 2007 Meshless techniques for convection dominated problems. Zbl 1138.76402Gu, Y. T.; Liu, G. R. 37 2006 An overview on meshfree methods: for computational solid mechanics. Zbl 1359.74388Liu, G. R. 36 2016 Coupling of element-free Galerkin and hybrid boundary element methods using modified variational formulation. Zbl 0994.74078Liu, G. R.; Gu, Y. T. 34 2000 A meshless local Petrov-Galerkin (MLPG) formulation for static and free vibration analysis of thin plates. Zbl 1102.74310Gu, Y. T.; Liu, G. R. 33 2001 Hybrid smoothed finite element method for acoustic problems. Zbl 1423.74902Li, Eric; He, Z. C.; Xu, X.; Liu, G. R. 32 2015 Analysis of plates and shells using an edge-based smoothed finite element method. Zbl 1202.74165Cui, Xiangyang; Liu, Guirong; Li, Guangyao; Zhang, Guiyong; Zheng, Gang 32 2010 A point interpolation mesh free method for static and frequency analysis of two-dimensional piezoelectric structures. Zbl 1146.74371Liu, G. R.; Dai, K. Y.; Lim, K. M.; Gu, Y. T. 32 2002 Temporal stabilization of the node-based smoothed finite element method and solution bound of linear elastostatics and vibration problems. Zbl 1398.74431Zhang, Zhi-Qian; Liu, G. R. 31 2010 An edge-based smoothed tetrahedron finite element method (ES-T-FEM) for 3D static and dynamic problems. Zbl 1308.74064He, Z. C.; Li, G. Y.; Zhong, Z. H.; Cheng, A. G.; Zhang, G. Y.; Liu, G. R.; Li, Eric; Zhou, Z. 30 2013 A node-based smoothed extended finite element method (NS-XFEM) for fracture analysis. Zbl 1231.74444Vu-Bac, N.; Nguyen-Xuan, H.; Chen, L.; Bordas, S.; Kerfriden, P.; Simpson, R. N.; Liu, G. R.; Rabczuk, T. 30 2011 An \(n\)-sided polygonal edge-based smoothed finite element method (\(n\)ES-FEM) for solid mechanics. Zbl 1248.74043Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H. 30 2011 Letter to the editor: On the essence and the evaluation of the shape functions for the smoothed finite element method (SFEM). Zbl 1181.74137Liu, G. R.; Nguyen-Thoi, T.; Nguyen-Xuan, H.; Dai, K. Y.; Lam, K. Y. 30 2009 Smoothed particle hydrodynamics for numerical simulation of underwater explosion. Zbl 1128.76352Liu, M. B.; Liu, G. R.; Lam, K. Y.; Zong, Z. 30 2003 Immersed smoothed finite element method for fluid-structure interaction simulation of aortic valves. Zbl 1311.74047Yao, Jianyao; Liu, G. R.; Narmoneva, Daria A.; Hinton, Robert B.; Zhang, Zhi-Qian 29 2012 Contact analysis for solids based on linearly conforming radial point interpolation method. Zbl 1178.74182Li, Y.; Liu, G. R.; Dai, K. Y.; Luan, M. T.; Zhong, Z. H.; Li, G. Y.; Han, X. 29 2007 A stabilized least-squares radial point collocation method (LS-RPCM) for adaptive analysis. Zbl 1128.74050Liu, G. R.; Kee, Bernard B. T.; Chun, Lu 29 2006 A meshfree formulation of local radial point interpolation method (LRPIM) for incompressible flow simulation. Zbl 1038.76542Wu, Y. L.; Liu, G. R. 29 2003 Smoothed finite element methods (S-FEM): an overview and recent developments. Zbl 1398.65312Zeng, W.; Liu, G. R. 28 2018 A meshfree radial point interpolation method for analysis of functionally graded material (FGM) plates. Zbl 1138.74417Dai, K. Y.; Liu, G. R.; Lim, K. M.; Han, X.; Du, S. Y. 28 2004 A novel FEM by scaling the gradient of strains with factor \(\alpha\) (\(\alpha\)FEM). Zbl 1162.74469Liu, G. R.; Nguyen-Thoi, T.; Lam, K. Y. 27 2009 Meshfree weak-strong (MWS) form method and its application to incompressible flow problems. Zbl 1060.76627Liu, G. R.; Wu, Y. L.; Ding, H. 26 2004 Comparisons of two meshfree local point interpolation methods for structural analyses. Zbl 1053.74659Liu, G. R.; Gu, Y. T. 26 2002 Transient waves in a functionally graded cylinder. Zbl 0977.74035Han, X.; Liu, G. R.; Xi, Z. C.; Lam, K. Y. 26 2001 A coupled ES-FEM/BEM method for fluid-structure interaction problems. Zbl 1259.74030He, Z. C.; Liu, G. R.; Zhong, Z. H.; Zhang, G. Y.; Cheng, A. G. 25 2011 Hybrid boundary point interpolation methods and their coupling with the element free Galerkin method. Zbl 1060.74651Gu, Y. T.; Liu, G. R. 25 2003 Dispersion error reduction for acoustic problems using the edge-based smoothed finite element method (ES-FEM). Zbl 1235.76065He, Z. C.; Cheng, A. G.; Zhang, G. Y.; Zhong, Z. H.; Liu, G. R. 24 2011 A cell-based smoothed radial point interpolation method (CS-RPIM) for static and free vibration of solids. Zbl 1244.74214Cui, X. Y.; Liu, G. R.; Li, G. Y. 24 2010 Element-free method for static and free vibration analysis of spatial thin shell structures. Zbl 1083.74610Liu, L.; Liu, G. R.; Tan, V. B. C. 24 2002 Differential quadrature solutions of eighth-order boundary-value differential equations. Zbl 1001.65085Liu, G. R.; Wu, T. Y. 24 2002 A mass-redistributed finite element method (MR-FEM) for acoustic problems using triangular mesh. Zbl 1415.65257He, Z. C.; Li, Eric; Liu, G. R.; Li, G. Y.; Cheng, A. G. 23 2016 Generalized stochastic cell-based smoothed finite element method (GS_CS-FEM) for solid mechanics. Zbl 1282.74090Liu, G. R.; Zeng, W.; Nguyen-Xuan, H. 23 2013 A novel Galerkin-like weakform and a superconvergent alpha finite element method (S\(\alpha \)FEM) for mechanics problems using triangular meshes. Zbl 1273.74542Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Thoi, T.; Xu, X. 23 2009 Analysis of coupled structural-acoustic problems based on the smoothed finite element method (S-FEM). Zbl 1297.74040Li, Wei; Chai, Yingbin; Lei, Ming; Liu, G. R. 22 2014 A singular edge-based smoothed finite element method (ES-FEM) for bimaterial interface cracks. Zbl 1398.74316Chen, L.; Liu, G. R.; Nourbakhsh-Nia, N.; Zeng, K. 22 2010 A point interpolation method for simulating dissipation process of consolidation. Zbl 1055.74015Wang, J. G.; Liu, G. R.; Wu, Y. G. 22 2001 Free vibration analysis of circular plates using generalized differential quadrature rule. Zbl 1083.74549Wu, T. Y.; Wang, Y. Y.; Liu, G. R. 21 2002 Characteristics of waves in a functionally graded cylinder. Zbl 1112.74406Han, X.; Liu, G. R.; Xi, Z. C.; Lam, K. Y. 21 2002 Application of generalized differential quadrature rule to sixth-order differential equations. Zbl 0969.65070Wu, T. Y.; Liu, G. R. 21 2000 A phantom-node method with edge-based strain smoothing for linear elastic fracture mechanics. Zbl 1271.74418Vu-Bac, N.; Nguyen-Xuan, H.; Chen, L.; Lee, C. K.; Zi, G.; Zhuang, X.; Liu, G. R.; Rabczuk, T. 20 2013 A superconvergent point interpolation method (SC-PIM) with piecewise linear strain field using triangular mesh. Zbl 1156.74394Liu, G. R.; Xu, X.; Zhang, G. Y.; Nguyen-Thoi, T. 20 2009 A least-square radial point collocation method for adaptive analysis in linear elasticity. Zbl 1244.74221Kee, Bernard B. T.; Liu, G. R.; Lu, C. 20 2008 Radial point interpolation collocation method (RPICM) for partial differential equations. Zbl 1083.65108Liu, X.; Liu, G. R.; Tai, K.; Lam, K. Y. 20 2005 Transient waves in plates of functionally graded materials. Zbl 1017.74035Han, X.; Liu, G. R.; Lam, K. Y. 20 2001 A node-based smoothed radial point interpolation method with linear strain fields for vibration analysis of solids. Zbl 07214832Li, Yan; Liu, Guirong; Feng, Zhiqiang; Ng, Keishing; Li, Siuwai 1 2020 SPH simulation of high-volume rapid landslides triggered by earthquakes based on a unified constitutive model. I: Initiation process and slope failure. Zbl 07146454Bao, Yangjuan; Huang, Yu; Liu, G. R.; Wang, Guangyu 1 2020 SPH simulation of high-volume rapid landslides triggered by earthquakes based on a unified constitutive model. II: Solid-liquid-like phase transition and flow-like landslides. Zbl 07146453Bao, Yangjuan; Huang, Yu; Liu, G. R.; Zeng, Wei 1 2020 A novel node-based smoothed finite element method with linear strain fields for static, free and forced vibration analyses of solids. Zbl 1428.74211Li, Y.; Liu, G. R. 3 2019 A local Lagrangian gradient smoothing method for fluids and fluid-like solids: a novel particle-like method. Zbl 07110378Mao, Zirui; Liu, G. R.; Huang, Yu 3 2019 A modified immersed smoothed FEM with local field reconstruction for fluid-structure interactions. Zbl 07110389Jiang, Chen; Zhang, Zhi-Qian; Gao, Guang-Jun; Liu, G. R. 2 2019 An element-free smoothed radial point interpolation method (EFS-RPIM) for 2D and 3D solid mechanics problems. Zbl 1442.65406Li, Yan; Liu, G. R. 1 2019 A wavelet multiresolution interpolation Galerkin method for targeted local solution enrichment. Zbl 07119149Liu, Xiaojing; Liu, G. R.; Wang, Jizeng; Zhou, Youhe 1 2019 Novel quadtree algorithm for adaptive analysis based on cell-based smoothed finite element method. Zbl 07110362Huo, S. H.; Li, Y. S.; Duan, S. Y.; Han, X.; Liu, G. R. 1 2019 Topology optimization of the interior structure of blades with an outer surface determined through aerodynamic design. Zbl 07074005McClanahan, Dustin R.; Liu, G. R.; Turner, Mark G.; Anantharaman, Devanathan 1 2019 Dynamic brittle crack propagation modeling using singular edge-based smoothed finite element method with local mesh rezoning. Zbl 07068157Chen, Haodong; Wang, Qingsong; Zeng, W.; Liu, G. R.; Sun, Jinhua; He, Linghui; Bui, Tinh Quoc 1 2019 Smoothed finite element methods (S-FEM): an overview and recent developments. Zbl 1398.65312Zeng, W.; Liu, G. R. 28 2018 A generalized probabilistic edge-based smoothed finite element method for elastostatic analysis of Reissner-Mindlin plates. Zbl 07166428Wu, F.; Zeng, W.; Yao, L. Y.; Liu, G. R. 5 2018 Static and free vibration analysis of stiffened flat shells by a cell-based smoothed discrete shear gap method (CS-FEM-DSG3) using three-node triangular elements. Zbl 1404.74166Nguyen-Thoi, T.; Bui-Xuan, T.; Liu, G. R.; Vo-Duy, T. 4 2018 A novel pick-out theory and technique for constructing the smoothed derivatives of functions for numerical methods. Zbl 1404.74162Liu, G. R. 4 2018 An efficient algorithm to analyze wave propagation in fluid/solid and solid/fluid phononic crystals. Zbl 1440.74416Li, Eric; He, Z. C.; Wang, Gang; Liu, G. R. 1 2018 A locking-free face-based S-FEM via averaging nodal pressure using 4-nodes tetrahedrons for 3D explicit dynamics and quasi-statics. Zbl 1404.74160Jiang, Chen; Han, Xu; Zhang, Zhi-Qian; Liu, G. R.; Gao, Guang-Jun 1 2018 On singular ES-FEM for fracture analysis of solids with singular stress fields of arbitrary order. Zbl 1403.74098Bhowmick, Sauradeep; Liu, Gui Rong 1 2018 A node-based smoothed point interpolation method for dynamic analysis of rotating flexible beams. Zbl 1390.74112Du, C. F.; Zhang, D. G.; Li, L.; Liu, G. R. 1 2018 Lower bound of vibration modes using the node-based smoothed finite element method (NS-FEM). Zbl 1404.74163Liu, Guirong; Chen, Meng; Li, Ming 11 2017 Smoothed finite element methods (S-FEMs) with polynomial pressure projection (P3) for incompressible solids. Zbl 1403.74110Jiang, Chen; Han, Xu; Liu, G. R.; Zhang, Zhi-Qian; Yang, Gang; Gao, Guang-Jun 2 2017 Development of three-dimensional GSM-CFD solver for compressible flows. Zbl 1404.76198Yao, Jianyao; Wu, Weimin; Zhang, Kun; Sun, Dongyang; Liu, Yaolu; Ning, Huiming; Hu, Ning; Liu, G. R. 2 2017 A SPH implementation with ignition and growth and afterburning models for aluminized explosives. Zbl 1404.76212Wang, Guangyu; Liu, Guirong; Peng, Qing; De, Suvranu 1 2017 An overview on meshfree methods: for computational solid mechanics. Zbl 1359.74388Liu, G. R. 36 2016 A mass-redistributed finite element method (MR-FEM) for acoustic problems using triangular mesh. Zbl 1415.65257He, Z. C.; Li, Eric; Liu, G. R.; Li, G. Y.; Cheng, A. G. 23 2016 Particle methods for multi-scale and multi-physics. Zbl 1344.76002Liu, Mou-Bin; Liu, Gui-Rong 11 2016 An adaptive selective ES-FEM for plastic collapse analysis. Zbl 1406.74639Nguyen-Xuan, H.; Wu, C. T.; Liu, G. R. 10 2016 A generalized beta finite element method with coupled smoothing techniques for solid mechanics. Zbl 1403.74133Zeng, W.; Liu, G. R.; Jiang, C.; Nguyen-Thoi, T.; Jiang, Y. 10 2016 A modified smoothed finite element method for static and free vibration analysis of solid mechanics. Zbl 1359.74130Cui, Xiang Yang; Hu, Xiao Bin; Li, Guang Yao; Liu, Gui Rong 9 2016 Proofs of the stability and convergence of a weakened weak method using PIM shape functions. Zbl 1404.65284Yue, J. H.; Li, M.; Liu, G. R.; Niu, R. P. 9 2016 Mathematical basis of \(G\) spaces. Zbl 1359.46024Chen, Meng; Li, Ming; Liu, G. R. 8 2016 On partitions of unity property of nodal shape functions: rigid-body-movement reproduction and mass conservation. Zbl 1359.65261Liu, G. R. 6 2016 A quasi-conforming point interpolation method (QC-PIM) for elasticity problems. Zbl 1359.74452Xu, X.; Zheng, Z. Q.; Gu, Y. T.; Liu, G. R. 4 2016 A new homogenization formulation for multifunctional composites. Zbl 1359.74357Li, Eric; Zhang, Zhongpu; Chang, C. C.; Zhou, Shiwei; Liu, G. R.; Li, Q. 4 2016 A technique with a correction term for unsteady state heat transfer problem with moving boundary. Zbl 1359.80008Niu, R. P.; Liu, G. R.; Li, M. 2 2016 A novel explicit positivity-preserving finite-difference scheme for simulating bounded growth of biological films. Zbl 1359.92002Sun, G. F.; Liu, G. R.; Li, M. 1 2016 Hybrid smoothed finite element method for acoustic problems. Zbl 1423.74902Li, Eric; He, Z. C.; Xu, X.; Liu, G. R. 32 2015 An edge-based/node-based selective smoothed finite element method using tetrahedrons for cardiovascular tissues. Zbl 1403.74111Jiang, Chen; Zhang, Zhi-Qian; Liu, G. R.; Han, X.; Zeng, W. 19 2015 On stability, convergence and accuracy of bES-FEM and bFS-FEM for nearly incompressible elasticity. Zbl 1423.74104Ong, Thanh Hai; Heaney, Claire E.; Lee, Chang-Kye; Liu, G. R.; Nguyen-Xuan, H. 15 2015 Acoustic simulation using \(\alpha\)-FEM with a general approach for reducing dispersion error. Zbl 1403.76044He, Zhi Cheng; Li, Eric; Li, G. Y.; Wu, F.; Liu, G. R.; Nie, X. 13 2015 An edge-based finite element method (ES-FEM) with adaptive scaled-bubble functions for plane strain limit analysis. Zbl 1423.74169Nguyen-Xuan, H.; Liu, G. R. 12 2015 Dissipative particle dynamics (DPD): an overview and recent developments. Zbl 1348.76004Liu, M. B.; Liu, G. R.; Zhou, L. W.; Chang, J. Z. 11 2015 A three-dimensional hybrid smoothed finite element method (H-SFEM) for nonlinear solid mechanics problems. Zbl 1328.74080Li, Eric; He, Z. C.; Xu, Xu; Liu, G. R.; Gu, Y. T. 11 2015 A novel hybrid FS-FEM/SEA for the analysis of vibro-acoustic problems. Zbl 1352.74453Wu, Fei; Liu, Guirong; Li, Guangyao; Cheng, Ai Guo; He, Z. C.; Hu, Z. H. 9 2015 An adaptive GSM-CFD solver and its application to shock-wave boundary layer interaction. Zbl 1356.76153Yao, Jianyao; Lin, Tao; Liu, G. R.; Chen, C. L. 8 2015 An ultra-accurate hybrid smoothed finite element method for piezoelectric problem. Zbl 1403.74114Li, Eric; He, Z. C.; Chen, L.; Li, Bing; Xu, Xu; Liu, G. R. 7 2015 An efficient explicit finite-difference scheme for simulating coupled biomass growth on nutritive substrates. Zbl 1394.65078Sun, G. F.; Liu, G. R.; Li, M. 2 2015 A semi-explicit finite element method for dynamic analysis of dielectric elastomers. Zbl 1359.78023Zhang, Zhi-Qian; Foo, Choon Chiang; Liu, G. R. 2 2015 Analysis of coupled structural-acoustic problems based on the smoothed finite element method (S-FEM). Zbl 1297.74040Li, Wei; Chai, Yingbin; Lei, Ming; Liu, G. R. 22 2014 A matrix-form GSM-CFD solver for incompressible fluids and its application to hemodynamics. Zbl 1311.76160Yao, Jianyao; Liu, G. R. 14 2014 A new hybrid smoothed FEM for static and free vibration analyses of Reissner-Mindlin plates. Zbl 1311.74131Wu, F.; Liu, G. R.; Li, G. Y.; Cheng, A. G.; He, Z. C. 14 2014 A cell-based smoothed finite element method using three-node shear-locking free Mindlin plate element (CS-FEM-MIN3) for dynamic response of laminated composite plates on viscoelastic foundation. Zbl 1297.74122Luong-Van, H.; Nguyen-Thoi, T.; Liu, G. R.; Phung-Van, P. 13 2014 Selective smoothed finite element methods for extremely large deformation of anisotropic incompressible bio-tissues. Zbl 1352.74006Jiang, Chen; Zhang, Zhi-Qian; Han, Xu; Liu, Gui-Rong 12 2014 Mid-frequency acoustic analysis using edge-based smoothed tetrahedron radialpoint interpolation methods. Zbl 1359.76255He, Z. C.; Li, G. Y.; Li, Eric; Zhong, Z. H.; Liu, G. R. 8 2014 Coupling GSM/ALE with ES-FEM-T3 for fluid-deformable structure interactions. Zbl 1349.76282Wang, S.; Khoo, B. C.; Liu, G. R.; Xu, G. X.; Chen, L. 8 2014 S-FEM for fracture problems, theory, formulation and application. Zbl 1359.74025Liu, Gui Rong; Chen, Lei; Li, Ming 7 2014 Bubble-enhanced smoothed finite element formulation: a variational multi-scale approach for volume-constrained problems in two-dimensional linear elasticity. Zbl 1352.74451Wu, C. T.; Hu, Wei; Liu, G. R. 7 2014 A modified triangulation algorithm tailored for the smoothed finite element method (S-FEM). Zbl 1359.65260Li, Y.; Li, Ming; Liu, G. R. 6 2014 Solution bound and nearly exact solution to nonlinear solid mechanics problems based on the smoothed FEM concept. Zbl 1297.74134Zhang, Zhi-Qian; Liu, G. R. 5 2014 A sub-domain smoothed Galerkin method for solid mechanics problems. Zbl 1352.74363Hu, Dean; Wang, Yigang; Liu, G. R.; Li, Tong; Han, Xu; Gu, Y. T. 4 2014 Reconstruction of dynamically changing boundary of multilayer heat conduction composite walls. Zbl 1297.80016Niu, R. P.; Liu, G. R.; Li, M. 2 2014 Smoothed point interpolation methods. G space theory and weakened weak forms. Zbl 1278.65002Liu, G. R.; Zhang, G. Y. 48 2013 An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order. Zbl 1297.74126Nguyen-Xuan, H.; Liu, G. R.; Bordas, S.; Natarajan, S.; Rabczuk, T. 41 2013 An edge-based smoothed tetrahedron finite element method (ES-T-FEM) for 3D static and dynamic problems. Zbl 1308.74064He, Z. C.; Li, G. Y.; Zhong, Z. H.; Cheng, A. G.; Zhang, G. Y.; Liu, G. R.; Li, Eric; Zhou, Z. 30 2013 Generalized stochastic cell-based smoothed finite element method (GS_CS-FEM) for solid mechanics. Zbl 1282.74090Liu, G. R.; Zeng, W.; Nguyen-Xuan, H. 23 2013 A phantom-node method with edge-based strain smoothing for linear elastic fracture mechanics. Zbl 1271.74418Vu-Bac, N.; Nguyen-Xuan, H.; Chen, L.; Lee, C. K.; Zi, G.; Zhuang, X.; Liu, G. R.; Rabczuk, T. 20 2013 A moving-mesh gradient smoothing method for compressible CFD problems. Zbl 1261.76041Yao, Jianyao; Liu, G. R.; Qian, Dong; Chen, Chung-Lung; Xu, George X. 19 2013 A three dimensional immersed smoothed finite element method (3D IS-FEM) for fluid-structure interaction problems. Zbl 1312.74049Zhang, Zhi-Qian; Liu, G. R.; Khoo, Boo Cheong 17 2013 A hybrid smoothed finite element method (H-SFEM) to solid mechanics problems. Zbl 1359.74453Xu, Xu; Gu, Yuantong; Liu, Guirong 9 2013 An explicit smoothed finite element method (SFEM) for elastic dynamic problems. Zbl 1359.74398Cui, X. Y.; Li, G. Y.; Liu, G. R. 9 2013 An arbitrary Lagrangian-Eulerian gradient smoothing method (GSM/ALE) for interaction of fluid and a moving rigid body. Zbl 1365.76204Wang, S.; Khoo, B. C.; Liu, G. R.; Xu, G. X. 8 2013 Meshfree cell-based smoothed alpha radial point interpolation method (CS-\(\alpha\)RPIM) for solid mechanics problems. Zbl 1359.74472Liu, G. R.; Zhang, G. Y.; Zong, Z.; Li, M. 8 2013 Rapid identification of material properties of the interface tissue in dental implant systems using reduced basis method. Zbl 1300.92047Hoang, K. C.; Khoo, B. C.; Liu, G. R.; Nguyen, N. C.; Patera, A. T. 6 2013 Smoothed particle hydrodynamics modeling of linear shaped charge with jet formation and penetration effects. Zbl 1290.76121Feng, D. L.; Liu, M. B.; Li, H. Q.; Liu, G. R. 6 2013 A contact analysis approach based on linear complementarity formulation using smoothed finite element methods. Zbl 1287.74028Li, Y.; Zhang, G. Y.; Liu, G. R.; Huang, Y. N.; Zong, Z. 6 2013 An implementation of the smoothed particle hydrodynamics for hypervelocity impacts and penetration to layered composites. Zbl 1359.74375Liu, G. R.; Zhou, C. E.; Wang, G. Y. 4 2013 Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth. Zbl 1243.74170Chen, Lei; Rabczuk, Timon; Bordas, S. P. A.; Liu, Guirong; Zeng, Kai-Yang; Kerfriden, P. 55 2012 Immersed smoothed finite element method for fluid-structure interaction simulation of aortic valves. Zbl 1311.74047Yao, Jianyao; Liu, G. R.; Narmoneva, Daria A.; Hinton, Robert B.; Zhang, Zhi-Qian 29 2012 Immersed smoothed finite element method for two dimensional fluid-structure interaction problems. Zbl 1242.74178Zhang, Zhi-Qian; Liu, G. R.; Khoo, Boo Cheong 19 2012 The singular edge-based smoothed finite element method for stationary dynamic crack problems in 2D elastic solids. Zbl 1253.74108Liu, P.; Bui, Tinh Quoc; Zhang, Chuanzeng; Yu, Tian Tang; Liu, Gui-Rong; Golub, Mikhail V. 15 2012 Numerical modeling and simulation of pulsatile blood flow in rigid vessel using gradient smoothing method. Zbl 1245.76165Li, Eric; Liu, G. R.; Xu, George X.; Vincent, Tan; He, Z. C. 8 2012 A stabilized finite element method for certified solution with bounds in static and frequency analyses of piezoelectric structures. Zbl 1353.74069Chen, L.; Zhang, Y. W.; Liu, G. R.; Nguyen-Xuan, H.; Zhang, Z. Q. 7 2012 An efficient adaptive analysis procedure using the edge-based smoothed point interpolation method (ES-PIM) for 2D and 3D problems. Zbl 1352.65555Tang, Q.; Zhang, G. Y.; Liu, G. R.; Zhong, Z. H.; He, Z. C. 7 2012 A novel quadratic edge-based smoothed conforming point interpolation method (ES-CPIM) for elasticity problems. Zbl 1359.74451Xu, X.; Liu, G. R.; Gu, Y. T. 3 2012 A strain-constructed point interpolation method and strain field construction schemes for solid mechanics problems using triangular mesh. Zbl 1291.74185Zhang, G. Y.; Liu, G. R.; Xu, X. 3 2012 A curvature-constructed method for bending analysis of thin plates using three-node triangular cells. Zbl 1359.74129Cui, X. Y.; Liu, G. R.; Li, G. Y. 2 2012 Adaptive analysis using the node-based smoothed finite element method (NS-FEM). Zbl 1370.74144Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Tran, C. 37 2011 A node-based smoothed extended finite element method (NS-XFEM) for fracture analysis. Zbl 1231.74444Vu-Bac, N.; Nguyen-Xuan, H.; Chen, L.; Bordas, S.; Kerfriden, P.; Simpson, R. N.; Liu, G. R.; Rabczuk, T. 30 2011 An \(n\)-sided polygonal edge-based smoothed finite element method (\(n\)ES-FEM) for solid mechanics. Zbl 1248.74043Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H. 30 2011 A coupled ES-FEM/BEM method for fluid-structure interaction problems. Zbl 1259.74030He, Z. C.; Liu, G. R.; Zhong, Z. H.; Zhang, G. Y.; Cheng, A. G. 25 2011 Dispersion error reduction for acoustic problems using the edge-based smoothed finite element method (ES-FEM). Zbl 1235.76065He, Z. C.; Cheng, A. G.; Zhang, G. Y.; Zhong, Z. H.; Liu, G. R. 24 2011 An immersed smoothed finite element method for fluid–structure interaction problems. Zbl 1245.74012Zhang, Zhi-Qian; Yao, Jianyao; Liu, G. R. 18 2011 A variationally consistent \(\alpha\)FEM (VC\(\alpha\)FEM) for solution bounds and nearly exact solution to solid mechanics problems using quadrilateral elements. Zbl 1217.74126Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Thoi, T. 16 2011 A thin plate formulation without rotation DOFs based on the radial point interpolation method and triangular cells. Zbl 1217.74143Cui, X. Y.; Liu, G. R.; Li, G. Y.; Zhang, G. Y. 15 2011 A three-dimensional adaptive analysis using the meshfree node-based smoothed point interpolation method (NS-PIM). Zbl 1259.74096Tang, Q.; Zhang, G. Y.; Liu, G. R.; Zhong, Z. H.; He, Z. C. 13 2011 A singular ES-FEM for plastic fracture mechanics. Zbl 1230.74183Jiang, Y.; Liu, G. R.; Zhang, Y. W.; Chen, L.; Tay, T. E. 13 2011 A quasi-static crack growth simulation based on the singular ES-FEM. Zbl 1242.74144Nourbakhshnia, N.; Liu, G. R. 10 2011 A novel linearly-weighted gradient smoothing method (LWGSM) in the simulation of fluid dynamics problem. Zbl 1271.76248Li, Eric; Tan, Vincent; Xu, George X.; Liu, G. R.; He, Z. C. 9 2011 A combined extended and edge-based smoothed finite element method (ES-XFEM) for fracture analysis of 2D elasticity. Zbl 1245.74081Chen, Lei; Liu, Gui Rong; Zeng, Kai Yang 9 2011 A smoothed Hermite radial point interpolation method for thin plate analysis. Zbl 1271.74425Cui, Xiangyang; Liu, Guirong; Li, Guangyao 8 2011 ...and 165 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,190 Authors 209 Liu, Gui-Rong 52 Nguyen-Xuan, Hung 43 Han, Xu 42 Nguyen-Thoi, Trung 41 Zhang, GuiYong 34 Li, Guangyao 32 Rabczuk, Timon 31 Dehghan Takht Fooladi, Mehdi 30 Li, Xiaolin 29 Bordas, Stéphane Pierre Alain 29 Gu, Yuantong 28 Cui, Xiangyang 27 He, Zhicheng 26 Zhang, Chuanzeng 20 Ferreira, António Joaquim Mendes 20 Hu, Dean 20 Li, Eric 20 Liew, Kim Meow 20 Liu, Moubin 20 Sladek, Jan 20 Sladek, Vladimir 18 Belinha, Jorge 18 Lam, Khin-Yong 18 Natarajan, Sundararajan 17 Chen, Lei 17 Natal Jorge, Renato Manuel 17 Shivanian, Elyas 17 Zhang, Zhiqian 16 Ouyang, Jie 16 Zhuang, Xiaoying 15 Bui, Tinh Quoc 15 Zheng, Hong 15 Zhong, Zhihua 14 Takizawa, Kenji 13 Francomano, Elisa 13 Gu, Yan 13 Jiang, Chen 13 Li, Wei 13 Phung-Van, P. 13 Siraj-ul-Islam 13 Tezduyar, Tayfun E. 12 Abbaszadeh, Mostafa 12 Chai, Yingbin 12 Chen, Wen 12 Yang, Gang 11 Cen, Song 11 Dai, Kaiyu 11 Li, Hua 11 Šarler, Božidar 11 Thai, Chien Hoang 11 Xu, Xu 11 Yang, Yongtao 10 Dinis, Lúcia M. 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Technological Sciences 2 Afrika Matematika ...and 65 more Serials all top 5 Cited in 38 Fields 1,375 Mechanics of deformable solids (74-XX) 1,212 Numerical analysis (65-XX) 624 Fluid mechanics (76-XX) 166 Partial differential equations (35-XX) 93 Classical thermodynamics, heat transfer (80-XX) 74 Operations research, mathematical programming (90-XX) 55 Biology and other natural sciences (92-XX) 45 Ordinary differential equations (34-XX) 36 Optics, electromagnetic theory (78-XX) 35 Statistical mechanics, structure of matter (82-XX) 23 Approximations and expansions (41-XX) 20 Geophysics (86-XX) 18 Probability theory and stochastic processes (60-XX) 16 Computer science (68-XX) 15 Mechanics of particles and systems (70-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Statistics (62-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Integral equations (45-XX) 10 Systems theory; control (93-XX) 9 Dynamical systems and ergodic theory (37-XX) 6 Real functions (26-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Information and communication theory, circuits (94-XX) 3 Mathematical logic and foundations (03-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Quantum theory (81-XX) Citations by Year