# zbMATH — the first resource for mathematics

## Liu, Xinguo

Compute Distance To:
 Author ID: liu.xinguo Published as: Liu, X.; Liu, Xin-Guo; Liu, Xin-guo; Liu, Xinguo
 Documents Indexed: 124 Publications since 1987 Reviewing Activity: 298 Reviews
all top 5

#### Co-Authors

 31 single-authored 11 Wang, Weiguo 5 Wang, Xuefeng 3 Bao, Hujun 3 Wei, Yimin 3 Zhao, Na 2 Chen, Chaoxian 2 Gao, Hua 2 Guo, Xiaoxia 2 Li, Xinxiu 2 Li, Zhankuan 2 Ma, Hongyu 2 Peng, Qunsheng 2 Wang, Yuye 2 Xu, Lianhua 2 Yang, Yuxia 2 You, Jianping 1 Bai, Zhengjian 1 Bai, Zhongzhi 1 Chen, Lu 1 Cheng, Xuan 1 Guo, Hongbo 1 Heng, Pheng-Ann 1 Huang, Jin 1 Li, Chi-Kwong 1 Li, Ma 1 Li, Meiran 1 Li, Xiaoping 1 Li, Yongkun 1 Lin, Jinpeng 1 Lin, Xuezhen 1 Liu, Xinggui 1 Luan, Xuguo 1 Niu, Qihua 1 Qin, Xiaowei 1 Sheng, Hanfang 1 Shum, Heung-Yeung 1 Tu, Duo 1 Wang, Hui 1 Wang, Kun 1 Wang, Zexi 1 Wong, Tien-Tsin 1 Wu, Zizhao 1 Xiong, Xiwen 1 Xu, Xingzhong 1 Xu, Yage 1 Yao, Zengshan 1 Zeng, Ming 1 Zhang, Hongwei 1 Zhang, Jianwen 1 Zhao, Jianwei 1 Zhuang, Zhanpeng
all top 5

#### Serials

 14 Mathematica Numerica Sinica 12 Numerical Mathematics 11 Journal of Ocean University of Qingdao 9 Periodical of Ocean University of China 8 Journal of Computational Mathematics 4 Applied Mathematics and Computation 4 Acta Mathematicae Applicatae Sinica 4 Numerical Linear Algebra with Applications 3 Numerical Mathematics 2 Chinese Annals of Mathematics. Series A 2 Computer Aided Geometric Design 2 Linear Algebra and its Applications 1 Linear and Multilinear Algebra 1 Numerische Mathematik 1 Journal of Sichuan University. Natural Science Edition 1 Journal of Shandong College of Oceanology 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 Computer Graphics Forum 1 Chinese Journal of Numerical Mathematics and Applications 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Mathematical Study 1 Graphical Models 1 Journal of Yunnan University. Natural Sciences Edition 1 Frontiers of Mathematics in China 1 Communication on Applied Mathematics and Computation 1 Numerical Algebra, Control and Optimization
all top 5

#### Fields

 70 Numerical analysis (65-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 10 Statistics (62-XX) 4 Operations research, mathematical programming (90-XX) 3 Computer science (68-XX) 3 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

48 Publications have been cited 190 times in 187 Documents Cited by Year
On the positive definite solutions of the matrix equations $$X^{s}\pm A^{\text T} X^{-t} A=I_{n}$$. Zbl 1025.15018
Liu, Xin-Guo; Gao, Hua
2003
On complete convergence for arrays of row-wise negatively associated random variables. Zbl 1146.60025
Chen, P.; Hu, T.-C.; Liu, X.; Volodin, A.
2008
Analytical solution for free vibration of piezoelectric coupled moderately thick circular plates. Zbl 1033.74019
Liu, X.; Wang, Q.; Quek, S. T.
2002
On the Meany inequality with applications to convergence analysis of several row-action iteration methods. Zbl 1306.15015
Bai, Zhong-Zhi; Liu, Xin-Guo
2013
A note on the backward errors for Hermite eigenvalue problems. Zbl 1072.65055
Liu, Xinguo; Wang, Zexi
2005
Structured backward errors for structured KKT systems. Zbl 1140.65322
Li, Xinxiu; Liu, Xinguo
2004
On the Rayleigh quotient matrix. Zbl 0850.15008
Liu, Xinguo; Xu, Yage
1990
Linear multistep methods for impulsive delay differential equations. Zbl 1426.65085
Liu, X.; Zeng, Y. M.
2018
A two-stage resource allocation model for lifeline systems quick response with vulnerability analysis. Zbl 1346.91116
Zhang, C.; Liu, X.; Jiang, YP.; Fan, B.; Song, X.
2016
A new shock/discontinuity detector. Zbl 1280.76026
Oliveira, M.; Lu, P.; Liu, X.; Liu, Chaoqun
2010
Influence of temperature change on column buckling of multiwalled carbon nanotubes. Zbl 1217.82140
Zhang, Y. Q.; Liu, X.; Zhao, J. H.
2008
Continuity properties of the $$\{1\}$$-inverse and perturbation bounds for the Drazin inverse. Zbl 1141.15006
Liu, Xin-Guo; Wang, Wei-Guo; Wei, Yi-Min
2008
Extension of the total least square problem using general unitarily invariant norms. Zbl 1112.65037
Li, Chi-Kwong; Liu, Xin-Guo; Wang, Xue-Feng
2007
Blade penetration into a vortex core with and without axial core flow. Zbl 1065.76055
Liu, X.; Marshall, J. S.
2004
On the solvability and perturbation analysis for total least squares problem. Zbl 0858.65042
Liu, Xinguo
1996
Training of Elman networks and dynamic system modelling. Zbl 0850.93186
Pham, D. T.; Liu, X.
1996
Elastic stability of plates with varying rigidities. Zbl 0825.73940
Harik, I. E.; Liu, X.; Ekambaram, R.
1991
Robust vehicle routing problem with hard time windows under demand and travel time uncertainty. Zbl 1391.90064
Hu, C.; Lu, J.; Liu, X.; Zhang, G.
2018
An efficient moving grid algorithm for large deformation. Zbl 1137.65411
Qin, N.; Liu, X.; Xia, H.
2005
On optimal backward perturbation analysis for the linear system with block cyclic coefficient matrix. Zbl 1064.15003
Liu, Xinguo; Guo, Xiaoxia
2003
A novel volume constrained smoothing method for meshes. Zbl 1038.68134
Liu, Xinguo; Bao, Hujun; Shum, Heung-Yeung; Peng, Qunsheng
2002
Block appointment systems for outpatient clinics with multiple doctors. Zbl 1140.90450
Liu, L.; Liu, X.
1998
Physiological age, health costs, and their interrelation. Zbl 1403.62188
Govorun, M.; Jones, B. L.; Liu, X.; Stanford, D. A.
2018
Efficient mesh deformation using tetrahedron control mesh. Zbl 1205.65087
Huang, Jin; Chen, Lu; Liu, Xinguo; Bao, Hujun
2009
Capacitated production planning with outsourcing in an OKP company. Zbl 1157.90394
Liu, X.; Tu, Y. L.
2008
Speed-up and slow-down collisions in laser-induced non-sequential multiple ionization. Zbl 1117.78305
Figueira de Morisson Faria, C.; Liu, X.
2007
A note on the backward errors for inverse eigenvalue problems. Zbl 1033.65018
Liu, Xinguo; Bai, Zhengjian
2003
On the deflation with computing the eigenvalues of a matrix. Zbl 0927.65054
Liu, Xinguo
1997
Analytic solution to free vibration of rectangular plates. Zbl 0925.73258
Harik, I. E.; Liu, X.; Balakrishnan, N.
1992
Analytic and numerical stability of delay differential equations with variable impulses. Zbl 1428.34121
Liu, X.; Zeng, Y. M.
2019
Multi-objective Stackelberg game model for water supply networks against interdictions with incomplete information. Zbl 1403.90127
Jiang, J.; Liu, X.
2018
Hidden Markov model for municipal waste generation forecasting under uncertainties. Zbl 1346.62162
Jiang, P.; Liu, X.
2016
Maximization of matrix trace function of product Stiefel manifolds. Zbl 1327.62371
Liu, Xin-Guo; Wang, Xue-Feng; Wang, Wei-Guo
2015
Linearization estimates of the backward errors for least squares problems. Zbl 1289.65092
Liu, Xin-Guo; Zhao, Na
2012
A multigrid method for the maximal correlation problem. Zbl 1257.62068
Liu, Xin-Guo; Wang, Kun
2012
On the convergence of the P-SOR method for solving maximal correlation problems. Zbl 1249.65133
Qin, Xiaowei; Liu, Xinguo; Zhao, Na
2011
A generalization of the Bott-Duffin inverse and its applications. Zbl 1224.15009
Liu, Xin-Guo; Wang, Wei-Guo; Wei, Yi-Min
2009
Investigation of a novel elastic-mechanical wheel transmission under light duty conditions. Zbl 1338.70005
Chen, Yangzhi; Liu, X.; Chetwynd, D. G.; Huang, P.
2008
A note on backward errors for Toeplitz systems. Zbl 1199.65143
Liu, Xinguo; Chen, Chaoxian
2007
A note on the approximation of two-sided Rayleigh quotient to eigenvalues. Zbl 1121.65039
Liu, Xin-Guo; Li, Ma
2007
Frequency-dependent data weighting in global gravity field modeling from satellite data contaminated by non-stationary noise. Zbl 1138.86308
Ditmar, P.; Klees, R.; Liu, X.
2007
Classical aspects of laser-induced non-sequential double ionization above and below the threshold. Zbl 1154.78313
Figueira de Morisson Faria, C.; Liu, X.; Becker, W.
2006
On a class of alternating coefficient matrices quadratic eigenvalue problem. Zbl 1068.65049
Liu, Xinguo; Wang, Weiguo
2004
Constrained fairing for meshes. Zbl 0984.68563
Liu, Xinguo; Bao, Hujun; Heng, Pheng Ann; Wong, Tien Tsin; Peng, Qunsheng
2001
Modelling and prediction using GMDH networks of Adalines with nonlinear preprocessors. Zbl 0825.93040
Pham, D. T.; Liu, X.
1994
On Rayleigh quotient theory for the eigenproblem and the singular value problem. Zbl 0796.65052
Liu, Xinguo
1992
The perturbation bounds for latent values of a class of matrix polynomials. Zbl 0964.15512
Liu, Xinguo
1989
A hybrid approach to deductive uncertain inference. Zbl 0647.68095
Liu, X.; Gammerman, A.
1988
Analytic and numerical stability of delay differential equations with variable impulses. Zbl 1428.34121
Liu, X.; Zeng, Y. M.
2019
Linear multistep methods for impulsive delay differential equations. Zbl 1426.65085
Liu, X.; Zeng, Y. M.
2018
Robust vehicle routing problem with hard time windows under demand and travel time uncertainty. Zbl 1391.90064
Hu, C.; Lu, J.; Liu, X.; Zhang, G.
2018
Physiological age, health costs, and their interrelation. Zbl 1403.62188
Govorun, M.; Jones, B. L.; Liu, X.; Stanford, D. A.
2018
Multi-objective Stackelberg game model for water supply networks against interdictions with incomplete information. Zbl 1403.90127
Jiang, J.; Liu, X.
2018
A two-stage resource allocation model for lifeline systems quick response with vulnerability analysis. Zbl 1346.91116
Zhang, C.; Liu, X.; Jiang, YP.; Fan, B.; Song, X.
2016
Hidden Markov model for municipal waste generation forecasting under uncertainties. Zbl 1346.62162
Jiang, P.; Liu, X.
2016
Maximization of matrix trace function of product Stiefel manifolds. Zbl 1327.62371
Liu, Xin-Guo; Wang, Xue-Feng; Wang, Wei-Guo
2015
On the Meany inequality with applications to convergence analysis of several row-action iteration methods. Zbl 1306.15015
Bai, Zhong-Zhi; Liu, Xin-Guo
2013
Linearization estimates of the backward errors for least squares problems. Zbl 1289.65092
Liu, Xin-Guo; Zhao, Na
2012
A multigrid method for the maximal correlation problem. Zbl 1257.62068
Liu, Xin-Guo; Wang, Kun
2012
On the convergence of the P-SOR method for solving maximal correlation problems. Zbl 1249.65133
Qin, Xiaowei; Liu, Xinguo; Zhao, Na
2011
A new shock/discontinuity detector. Zbl 1280.76026
Oliveira, M.; Lu, P.; Liu, X.; Liu, Chaoqun
2010
Efficient mesh deformation using tetrahedron control mesh. Zbl 1205.65087
Huang, Jin; Chen, Lu; Liu, Xinguo; Bao, Hujun
2009
A generalization of the Bott-Duffin inverse and its applications. Zbl 1224.15009
Liu, Xin-Guo; Wang, Wei-Guo; Wei, Yi-Min
2009
On complete convergence for arrays of row-wise negatively associated random variables. Zbl 1146.60025
Chen, P.; Hu, T.-C.; Liu, X.; Volodin, A.
2008
Influence of temperature change on column buckling of multiwalled carbon nanotubes. Zbl 1217.82140
Zhang, Y. Q.; Liu, X.; Zhao, J. H.
2008
Continuity properties of the $$\{1\}$$-inverse and perturbation bounds for the Drazin inverse. Zbl 1141.15006
Liu, Xin-Guo; Wang, Wei-Guo; Wei, Yi-Min
2008
Capacitated production planning with outsourcing in an OKP company. Zbl 1157.90394
Liu, X.; Tu, Y. L.
2008
Investigation of a novel elastic-mechanical wheel transmission under light duty conditions. Zbl 1338.70005
Chen, Yangzhi; Liu, X.; Chetwynd, D. G.; Huang, P.
2008
Extension of the total least square problem using general unitarily invariant norms. Zbl 1112.65037
Li, Chi-Kwong; Liu, Xin-Guo; Wang, Xue-Feng
2007
Speed-up and slow-down collisions in laser-induced non-sequential multiple ionization. Zbl 1117.78305
Figueira de Morisson Faria, C.; Liu, X.
2007
A note on backward errors for Toeplitz systems. Zbl 1199.65143
Liu, Xinguo; Chen, Chaoxian
2007
A note on the approximation of two-sided Rayleigh quotient to eigenvalues. Zbl 1121.65039
Liu, Xin-Guo; Li, Ma
2007
Frequency-dependent data weighting in global gravity field modeling from satellite data contaminated by non-stationary noise. Zbl 1138.86308
Ditmar, P.; Klees, R.; Liu, X.
2007
Classical aspects of laser-induced non-sequential double ionization above and below the threshold. Zbl 1154.78313
Figueira de Morisson Faria, C.; Liu, X.; Becker, W.
2006
A note on the backward errors for Hermite eigenvalue problems. Zbl 1072.65055
Liu, Xinguo; Wang, Zexi
2005
An efficient moving grid algorithm for large deformation. Zbl 1137.65411
Qin, N.; Liu, X.; Xia, H.
2005
Structured backward errors for structured KKT systems. Zbl 1140.65322
Li, Xinxiu; Liu, Xinguo
2004
Blade penetration into a vortex core with and without axial core flow. Zbl 1065.76055
Liu, X.; Marshall, J. S.
2004
On a class of alternating coefficient matrices quadratic eigenvalue problem. Zbl 1068.65049
Liu, Xinguo; Wang, Weiguo
2004
On the positive definite solutions of the matrix equations $$X^{s}\pm A^{\text T} X^{-t} A=I_{n}$$. Zbl 1025.15018
Liu, Xin-Guo; Gao, Hua
2003
On optimal backward perturbation analysis for the linear system with block cyclic coefficient matrix. Zbl 1064.15003
Liu, Xinguo; Guo, Xiaoxia
2003
A note on the backward errors for inverse eigenvalue problems. Zbl 1033.65018
Liu, Xinguo; Bai, Zhengjian
2003
Analytical solution for free vibration of piezoelectric coupled moderately thick circular plates. Zbl 1033.74019
Liu, X.; Wang, Q.; Quek, S. T.
2002
A novel volume constrained smoothing method for meshes. Zbl 1038.68134
Liu, Xinguo; Bao, Hujun; Shum, Heung-Yeung; Peng, Qunsheng
2002
Constrained fairing for meshes. Zbl 0984.68563
Liu, Xinguo; Bao, Hujun; Heng, Pheng Ann; Wong, Tien Tsin; Peng, Qunsheng
2001
Block appointment systems for outpatient clinics with multiple doctors. Zbl 1140.90450
Liu, L.; Liu, X.
1998
On the deflation with computing the eigenvalues of a matrix. Zbl 0927.65054
Liu, Xinguo
1997
On the solvability and perturbation analysis for total least squares problem. Zbl 0858.65042
Liu, Xinguo
1996
Training of Elman networks and dynamic system modelling. Zbl 0850.93186
Pham, D. T.; Liu, X.
1996
Modelling and prediction using GMDH networks of Adalines with nonlinear preprocessors. Zbl 0825.93040
Pham, D. T.; Liu, X.
1994
Analytic solution to free vibration of rectangular plates. Zbl 0925.73258
Harik, I. E.; Liu, X.; Balakrishnan, N.
1992
On Rayleigh quotient theory for the eigenproblem and the singular value problem. Zbl 0796.65052
Liu, Xinguo
1992
Elastic stability of plates with varying rigidities. Zbl 0825.73940
Harik, I. E.; Liu, X.; Ekambaram, R.
1991
On the Rayleigh quotient matrix. Zbl 0850.15008
Liu, Xinguo; Xu, Yage
1990
The perturbation bounds for latent values of a class of matrix polynomials. Zbl 0964.15512
Liu, Xinguo
1989
A hybrid approach to deductive uncertain inference. Zbl 0647.68095
Liu, X.; Gammerman, A.
1988
all top 5

#### Cited by 355 Authors

 9 Duan, Xuefeng 9 Liao, Anping 6 Li, Rencang 6 Shen, Aiting 6 Volodin, Andrei I. 5 Hu, Shuhe 5 Li, Jing 5 Wang, Xuejun 4 Bai, Zhongzhi 4 Lim, Yongdo 4 Wei, Yimin 4 Wu, Wenting 3 Chen, Pingyan 3 Chen, Xiaoshan 3 Jiang, Zhaolin 3 Kim, Hyun-Min 3 Li, Bingyu 3 Li, Wen 3 Liu, Sanyang 3 Rajasekaran, Sundaramoorthy 3 Wei, Musheng 3 Wilson, Antony John 3 Yin, Xiaoyan 3 Zhang, Yuhai 2 Al-Dubiban, Asmaa M. 2 Alam, Rafikul 2 Arefi, Mohammad Mehdi 2 Berzig, Maher 2 Chen, Guoliang 2 El-Shazly, Naglaa M. 2 Hashemi, Sh. Hosseini 2 Hnětynková, Iveta 2 Hu, Tienchung 2 Jia, Zhigang 2 Jia, Zhongxiao 2 Li, Xiaoqin 2 Ling, Sitao 2 Ma, Wei 2 Meng, Jie 2 Plešinger, Martin 2 Qiao, Sanzheng 2 Qiu, Dehua 2 Rahimi, Gholam H. 2 Samet, Bessem 2 Stanimirović, Predrag S. 2 Sung, Soohak 2 Tang, Xia 2 Wang, Minghui 2 Wang, Xinghui 2 Wu, Yi 2 Wu, Yongfeng 2 Xiang, Hua 2 Yao, Guozhu 2 Žáková, Jana 2 Zheng, Bing 1 Adhikari, Bibhas 1 Al-Refa’ei, Mahmoud H. 1 Amini-Dehak, Mohammad 1 Antony, S. Joseph 1 Ashoori, A. R. 1 Atai, Ali Asghar 1 Azaiez, M. Naceur 1 Azaripour, S. 1 Baghani, Mostafa 1 Balakrishnan, Ganesh Priya 1 Balaras, Elias 1 Bambozzi de Oliveira, Maria Luísa 1 Bauer, Frank 1 Ben Yaghlane, Asma 1 Benahmed, Boubakeur 1 Beskese, Ahmet 1 Bock, Stefan 1 Bose, Snehasish 1 Bozorgnia, Abolghasem 1 Brezinski, Claude 1 Broglia, Riccardo 1 Bruneel, Herwig 1 Cai, Jing 1 Calandra, Henri 1 Cao, Xiongtao 1 Cao, Zhihao 1 Casorrán, Carlos 1 Castelo, Antonio 1 Chang, Kuang-Chao 1 Chang, Tai-Ping 1 Chen, Chung-Lung 1 Chen, Frank Youhua 1 Chen, Jiaqi 1 Chen, Wenzhi 1 Chen, Xiaojun 1 Chen, Yangzhi 1 Chen, Zengqiang 1 Chen, Zhencheng 1 Cheng, Fuhua 1 Choi, Yongho 1 Chronopoulos, Dimitrios 1 Cuminato, José Alberto 1 Dax, Achiya 1 De Vuyst, Stijn 1 Deng, Bailin ...and 255 more Authors
all top 5

#### Cited in 81 Serials

 24 Linear Algebra and its Applications 11 Applied Mathematics and Computation 10 Applied Mathematical Modelling 9 European Journal of Operational Research 6 Abstract and Applied Analysis 5 Linear and Multilinear Algebra 5 Journal of Computational and Applied Mathematics 5 Journal of Inequalities and Applications 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Acta Mechanica 4 Journal of Fluid Mechanics 4 SIAM Journal on Matrix Analysis and Applications 3 Meccanica 3 Numerische Mathematik 3 Numerical Algorithms 3 Applied Mathematics. Series B (English Edition) 3 Journal of Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Calcolo 2 Journal of the Korean Mathematical Society 2 Insurance Mathematics & Economics 2 Applied Mathematics and Mechanics. (English Edition) 2 Computer Aided Geometric Design 2 Applied Numerical Mathematics 2 Journal of Computer Science and Technology 2 Computers & Operations Research 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Journal of Scientific Computing 2 Computational and Applied Mathematics 2 Mathematical Problems in Engineering 2 Fixed Point Theory and Applications 2 Frontiers of Mathematics in China 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Metrika 1 Wave Motion 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 BIT 1 Mathematics and Computers in Simulation 1 Statistics & Probability Letters 1 Stochastic Analysis and Applications 1 International Journal of Production Research 1 Bulletin of the Iranian Mathematical Society 1 Statistics 1 Forum Mathematicum 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Annals of Physics 1 International Journal of Computer Mathematics 1 Pattern Recognition 1 Test 1 SIAM Journal on Scientific Computing 1 Communications in Numerical Methods in Engineering 1 Statistical Papers 1 Numerical Linear Algebra with Applications 1 Journal of Convex Analysis 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Vibration and Control 1 Positivity 1 Mechanism and Machine Theory 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. A. Solids 1 RAIRO. Operations Research 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Modern Optics 1 Science in China. Series F 1 Stochastics 1 Algorithms 1 Journal of Probability and Statistics 1 Journal of the Operations Research Society of China 1 Mathematical Sciences 1 AMM. Applied Mathematics and Mechanics. (English Edition)
all top 5

#### Cited in 25 Fields

 87 Numerical analysis (65-XX) 63 Linear and multilinear algebra; matrix theory (15-XX) 25 Mechanics of deformable solids (74-XX) 23 Probability theory and stochastic processes (60-XX) 17 Operations research, mathematical programming (90-XX) 12 Fluid mechanics (76-XX) 10 Computer science (68-XX) 7 Statistics (62-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Operator theory (47-XX) 4 Ordinary differential equations (34-XX) 4 Biology and other natural sciences (92-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-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)