# zbMATH — the first resource for mathematics

## Wang, Xiao

Compute Distance To:
 Author ID: wang.xiao Published as: Wang, X.; Wang, Xiao
 Documents Indexed: 253 Publications since 1992
all top 5

#### Co-Authors

 10 single-authored 15 Li, Zhixiang 7 Ning, Yufu 6 Shen, Jinglai 6 Yuan, Ya-xiang 5 Liu, Yicheng 4 Duan, Jinqiao 4 Katz, Jonathan N. 3 Chen, Huayou 3 Cui, Cheng 3 Du, Pang 3 Glaz, Joseph 3 Li, Xiaofan 3 Liu, Anping 3 Liu, Hongliang 3 Liu, Xiongwei 3 Zhang, Hongchao 2 Chang, Yanxun 2 Chen, Xiumei 2 Deng, Xuejing 2 Gordon, S. Dov 2 Han, Hongmei 2 Huang, Yanghong 2 Huang, Yao 2 Kolesnikov, Vladimir 2 Li, Xiang 2 Liu, Xi 2 Liu, Xin 2 Liu, Xiping 2 Liu, Zhisu 2 Ma, Shiqian 2 Ranellucci, Samuel 2 Rosulek, Mike 2 Ruppert, David 2 Shang, Wenpeng 2 Wang, Feiyue 2 Wang, Junxia 2 Wen, Zaiwen 2 Woodroofe, Michael Barrett 2 Zhang, Hao 1 Bai, Zhong 1 Cai, Xiushan 1 Chen, Kejia 1 Chen, Li 1 Chen, Liang 1 Cheng, Guang 1 Cheng, Lizhi 1 Cheng, Ye 1 Cheng, Yi 1 Choi, Inkyung 1 Chu, Jian 1 Dai, Xingyuan 1 Ding, Ziqian 1 Dong, Keqiang 1 Dong, Lin 1 Fan, Mingyu 1 Fan, Yue 1 Fang, Lingfen 1 Feng, Jufu 1 Gao, Fei 1 Goldfarb, Donald 1 Gu, Shusheng 1 Guo, Wangmei 1 Han, Chongzhao 1 Han, Shuangshuang 1 Han, Sihui 1 Han, Zhengzhi 1 Hao, Yan 1 He, Jingsong 1 Hong, Cheng 1 Hong, Wei 1 Huang, Xiangsheng 1 Jiao, Licheng 1 Jing, Honglei 1 Lebair, Teresa M. 1 Lei, Zhen 1 Li, Bo 1 Li, Guojun 1 Li, Li 1 Li, Stan Z. 1 Li, Yanbiao 1 Lin, Jingjing 1 Lin, X. Sheldon 1 Lin, Yilun 1 Liu, Jian 1 Liu, Jing 1 Liu, Kaihua 1 Liu, Ruochen 1 Liu, Wei 1 Liu, Ximeng 1 Liu, Yanbei 1 Lu, Changhong 1 Lü, Ganyun 1 Lu, Wenjie 1 Luan, Yuanchao 1 Luo, Jiliang 1 Lv, Guangying 1 Ma, Ping 1 Malozemoff, Alex J. 1 Mateo, Mario 1 McLaughlin, David W. ...and 62 more Co-Authors
all top 5

#### Serials

 7 Applied Mathematics and Computation 5 Optimization Methods & Software 3 Applied Mathematics Letters 3 Statistica Sinica 3 Journal of Intelligent and Fuzzy Systems 3 Control and Decision 2 IEEE Transactions on Information Theory 2 The Annals of Statistics 2 Biometrika 2 IEEE Transactions on Automatic Control 2 Journal of the American Statistical Association 2 SIAM Journal on Control and Optimization 2 Statistics & Probability Letters 2 Acta Automatica Sinica 2 Journal of Biomathematics 2 Journal of Qufu Normal University. Natural Science 2 Mathematica Applicata 2 Pattern Recognition 2 Abstract and Applied Analysis 2 Acta Mathematica Sinica. English Series 2 Control Theory & Applications 2 Journal of Hefei University of Technology. Natural Science 2 Electronic Journal of Statistics 2 International Journal of Biomathematics 1 The Canadian Journal of Statistics 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Acta Arithmetica 1 Ars Combinatoria 1 Journal of Multivariate Analysis 1 Kyungpook Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Numerical Analysis 1 Journal of Nanjing University. Natural Sciences 1 Journal of Mathematics. Wuhan University 1 Acta Mathematicae Applicatae Sinica 1 Journal of Mathematical Research & Exposition 1 Insurance Mathematics & Economics 1 Journal of Time Series Analysis 1 Stochastic Analysis and Applications 1 Journal of East China Normal University. Natural Science Edition 1 Advances in Mathematics 1 Physica D 1 Journal of Beijing Normal University. Natural Science 1 SIAM Journal on Matrix Analysis and Applications 1 Applied Mathematical Modelling 1 Communications in Statistics. Theory and Methods 1 Computational Statistics and Data Analysis 1 Systems Analysis, Modelling Simulation 1 International Journal of Robust and Nonlinear Control 1 SIAM Journal on Optimization 1 Computational Optimization and Applications 1 Applied Mathematics. Series A (Chinese Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Huazhong University of Science and Technology 1 Advances in Computational Mathematics 1 Pure and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Mathematical Communications 1 Soft Computing 1 Journal of Combinatorial Optimization 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Nonlinear Science and Numerical Simulation 1 Methodology and Computing in Applied Probability 1 IEEE Transactions on Image Processing 1 Nonlinear Analysis. Real World Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Basic Sciences Journal of Textile Universities 1 Computational Methods in Applied Mathematics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Harbin Institute of Technology. New Series 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Natural Computing 1 Journal of Systems Engineering 1 Central European Journal of Mathematics 1 Journal of University of Science and Technology of China 1 Boundary Value Problems 1 Communications in Mathematical Analysis 1 Computational & Mathematical Methods in Medicine 1 Acta Mathematica Sinica. Chinese Series 1 Communications in Theoretical Physics 1 Journal of Nanyang Normal University 1 Journal of Agricultural, Biological, and Environmental Statistics 1 Symmetry 1 Communication on Applied Mathematics and Computation
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#### Fields

 27 Ordinary differential equations (34-XX) 27 Statistics (62-XX) 20 Operations research, mathematical programming (90-XX) 19 Numerical analysis (65-XX) 13 Biology and other natural sciences (92-XX) 13 Systems theory; control (93-XX) 12 Partial differential equations (35-XX) 12 Probability theory and stochastic processes (60-XX) 10 Computer science (68-XX) 10 Information and communication theory, circuits (94-XX) 9 Operator theory (47-XX) 8 Combinatorics (05-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Number theory (11-XX) 3 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

135 Publications have been cited 643 times in 587 Documents Cited by Year
Wiener processes with random effects for degradation data. Zbl 1178.62091
Wang, Xiao
2010
On the anti-plane shear of an elliptic nano inhomogeneity. Zbl 1176.74045
Luo, J.; Wang, X.
2009
General solution of the Bagley-Torvik equation with fractional-order derivative. Zbl 1221.34020
Wang, Z. H.; Wang, X.
2010
A new approach to the existence, nonexistence and uniqueness of positive almost periodic solution for a model of hematopoiesis. Zbl 1225.47072
Wang, Xiao; Zhang, Hao
2010
Dynamics for a type of general reaction-diffusion model. Zbl 1139.35363
Wang, Xiao; Li, Zhixiang
2007
Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells. Zbl 1195.74034
Sheng, G. G.; Wang, X.
2010
Oscillation criteria for forced second order differential equations with mixed nonlinearities. Zbl 1179.34034
Zheng, Zhaowen; Wang, Xiao; Han, Hongmei
2009
Thermomechanical vibration analysis of a functionally graded shell with flowing fluid. Zbl 1151.74364
Sheng, G. G.; Wang, X.
2008
The indentation modulus of elastically anisotropic materials for indenters of arbitrary shape. Zbl 1077.74589
Vlassak, J. J.; Ciavarella, M.; Barber, J. R.; Wang, X.
2003
Dynamic programming for minimum Steiner trees. Zbl 1148.68038
Fuchs, B.; Kern, W.; Molle, D.; Richter, S.; Rossmanith, P.; Wang, X.
2007
Dynamic responses of piezoelectric hollow cylinders in an axial magnetic field. Zbl 1179.74040
Dai, H. L.; Wang, X.
2004
A new single-step iteration method for solving complex symmetric linear systems. Zbl 1391.65076
Xiao, X. Y.; Wang, X.
2018
Adams-Simpson method for solving uncertain differential equation. Zbl 1410.60067
Wang, Xiao; Ning, Yufu; Moughal, Tauqir A.; Chen, Xiumei
2015
On the convergence of the self-consistent field iteration in Kohn-Sham density functional theory. Zbl 1319.65041
Liu, Xin; Wang, Xiao; Wen, Zaiwen; Yuan, Yaxiang
2014
Influence of temporary migration on the transmission of infectious diseases in a migrants’ home village. Zbl 1397.92687
Wang, Lin; Wang, Xiao
2012
Stochastic finite elements as a bridge between random material microstructure and global response. Zbl 0957.74055
Ostoja-Starzewski, M.; Wang, X.
1999
Thermal shock in a hollow cylinder caused by rapid arbitrary heating. Zbl 0982.74504
Wang, X.
1995
Stochastic quasi-Newton methods for nonconvex stochastic optimization. Zbl 1365.90182
Wang, Xiao; Ma, Shiqian; Goldfarb, Donald; Liu, Wei
2017
On the analysis of the discretized Kohn-Sham density functional theory. Zbl 1317.15008
Liu, Xin; Wen, Zaiwen; Wang, Xiao; Ulbrich, Michael; Yuan, Yaxiang
2015
Matching boundary conditions for lattice dynamics. Zbl 1352.74015
Wang, X.; Tang, S.
2013
A trust region method based on a new affine scaling technique for simple bounded optimization. Zbl 1307.90174
Wang, Xiao; Yuan, Ya-Xiang
2013
Subspace distance analysis with application to adaptive Bayesian algorithm for face recognition. Zbl 1158.68481
Wang, Liwei; Wang, Xiao; Feng, Jufu
2006
Existence of positive periodic solutions for neutral functional differential equations. Zbl 1099.34063
Li, Zhixiang; Wang, Xiao
2006
On the asymptotics of penalized spline smoothing. Zbl 1274.65012
Wang, Xiao; Shen, Jinglai; Ruppert, David
2011
Dynamics for a class of general hematopoiesis model with periodic coefficients. Zbl 1120.34053
Wang, Xiao; Li, Zhixiang
2007
Magneto-thermo-electro-elastic transient response in a piezoelectric hollow cylinder subjected to complex loadings. Zbl 1120.74459
Dai, H. L.; Wang, X.
2006
Thermo-electro-elastic transient responses in piezoelectric hollow structures. Zbl 1086.74503
Dai, H. L.; Wang, X.
2005
Stress wave propagation in orthotropic laminated thick-walled spherical shells. Zbl 1017.74034
Wang, X.; Lu, G.; Guillow, S. R.
2002
A functional data analysis of the pinch force of human fingers. Zbl 0821.62085
Ramsay, J. O.; Wang, X.; Flanagan, R.
1995
Numerical methods for the mean exit time and escape probability of two-dimensional stochastic dynamical systems with non-Gaussian noises. Zbl 1338.65015
Wang, Xiao; Duan, Jinqiao; Li, Xiaofan; Luan, Yuanchao
2015
A visco-poroelastic theory for polymeric gels. Zbl 1371.74091
Wang, Xiao; Hong, Wei
2012
Approximations and inequalities for moving sums. Zbl 1277.60039
Glaz, Joseph; Naus, Joseph; Wang, Xiao
2012
Semiparametric additive transformation model under current status data. Zbl 1329.62197
Cheng, Guang; Wang, Xiao
2011
An uncertain currency model with floating interest rates. Zbl 1407.91259
Wang, Xiao; Ning, Yufu
2017
An adaptive immersed boundary-lattice Boltzmann method for simulating a flapping foil in ground effect. Zbl 1390.76781
Wu, J.; Qiu, Y. L.; Shu, C.; Zhao, N.; Wang, X.
2015
An augmented Lagrangian trust region method for equality constrained optimization. Zbl 1325.90091
Wang, Xiao; Yuan, Yaxiang
2015
Estimation of monotone functions via $$P$$-splines: a constrained dynamical optimization approach. Zbl 1232.41009
Shen, Jinglai; Wang, Xiao
2011
Optimisation of traceability and operations planning: an integrated model for perishable food production. Zbl 1198.90044
Wang, X.; Li, D.; O’Brien, C.
2009
Globally dynamical behaviors for a class of nonlinear functional difference equation with almost periodic coefficients. Zbl 1131.39010
Wang, Xiao; Li, Zhixiang
2007
Variable window scan statistics for normal data. Zbl 1314.62062
Wang, Xiao; Glaz, Joseph
2014
Rigorous van der Waals effect on vibration characteristics of multi-walled carbon nanotubes under a transverse magnetic field. Zbl 1236.74016
Wang, X.; Shen, Jun Xin; Liu, Yin; Shen, Guo Guang; Lu, Guo Xin
2012
A class of grouped Brunk estimators and penalized spline estimators for monotone regression. Zbl 1195.62041
Wang, Xiao; Shen, Jinglai
2010
Buckling of embedded multi-walled carbon nanotubes under combined torsion and axial loading. Zbl 1155.74347
Wang, X.; Lu, Guoxing; Lu, Y. J.
2007
The geometrically nonlinear dynamic responses of simply supported beams under moving loads. Zbl 07163398
Sheng, G. G.; Wang, X.
2017
Generalized R-squared for detecting dependence. Zbl 07072186
Wang, X.; Jiang, B.; Liu, J. S.
2017
Stability of uncertain delay differential equations. Zbl 1381.34008
Wang, Xiao; Ning, Yufu
2017
Convergence of complex uncertain sequences. Zbl 1361.40002
Chen, Xiumei; Ning, Yufu; Wang, Xiao
2016
Optimal estimation for the functional Cox model. Zbl 1345.62028
Qu, Simeng; Wang, Jane-Ling; Wang, Xiao
2016
Optimal prediction in an additive functional model. Zbl 06503811
Wang, Xiao; Ruppert, David
2015
Penalized likelihood functional regression. Zbl 1285.62042
Du, Pang; Wang, Xiao
2014
Uniform convergence and rate adaptive estimation of convex functions via constrained optimization. Zbl 1280.41008
Wang, Xiao; Shen, Jinglai
2013
A pseudo-likelihood estimation method for nonhomogeneous gamma process model with random effects. Zbl 1149.62024
Wang, Xiao
2008
Three-dimensional Green’s functions for a steady point heat source in a functionally graded half-space and some related problems. Zbl 1213.80020
Wang, X.; Pan, E.; Roy, A. K.
2007
Stress concentration at an elliptic hole in transversely isotropic piezoelectric solids. Zbl 1120.74500
Dai, Longchao; Guo, Wanlin; Wang, X.
2006
Classification by evolutionary ensembles. Zbl 1122.68568
Wang, Xiao; Wang, Han
2006
An elastodynamic solution for multilayered cylinders. Zbl 0753.73058
Wang, X.; Gong, Y. N.
1992
Nonlinear vibration of FG beams subjected to parametric and external excitations. Zbl 1406.74327
Sheng, G. G.; Wang, X.
2018
Thermal and surface effects on the pull-in characteristics of circular nanoplate NEMS actuator based on nonlocal elasticity theory. Zbl 1446.74067
Yang, W. D.; Kang, W. B.; Wang, X.
2017
Smoothing splines with varying smoothing parameter. Zbl 1279.62099
Wang, Xiao; Du, Pang; Shen, Jinglai
2013
Misfit dislocation dipoles in wire composite solids. Zbl 1431.74082
Wang, X.; Pan, E.; Chung, P. W.
2010
The existence of $$(q,k,\lambda ,t)$$-ADFs for $$k=4,5,6$$. Zbl 1205.05028
Wang, X.; Wu, D.; Cheng, M.
2010
Contraction conditions with perturbed linear operators and applications. Zbl 1214.47051
Liu, Yicheng; Wang, Xiao
2010
The existence of almost difference families. Zbl 1227.05089
Wang, X.; Wu, D.
2009
Nonparametric estimation of the shape function in a gamma process for degradation data. Zbl 1170.62027
Wang, Xiao
2009
Globally dynamical behaviors for discrete Lasota-Wazewska model with several delays and almost periodic coefficients. Zbl 1158.39009
Wang, Xiao; Li, Zhixiang
2008
Wave propagation in carbon nanotubes embedded in an elastic matrix. Zbl 1161.74418
Dong, K.; Wang, X.
2007
A Kiefer-Wolfowitz comparison theorem for Wicksell’s problem. Zbl 1209.62082
Wang, Xiao; Woodroofe, Michael
2007
Influences of large deformation and rotary inertia on wave propagation in piezoelectric cylindrically laminated shells in thermal environment. Zbl 1120.74556
Dong, K.; Wang, X.
2006
Thermal effects on interfacial stress transfer characteristics of carbon nanotubes/polymer composites. Zbl 1119.74361
Zhang, Y. C.; Wang, X.
2005
The numerical simulation of two-dimensional aluminized composite solid propellent combustion. Zbl 1116.80314
Wang, X.; Jackson, T. L.
2005
Stress wave propagation in laminated piezoelectric spherical shells under thermal shock and electric excitation. Zbl 1079.74556
Dai, H. L.; Wang, X.
2005
Effective bending modulus of carbon nanotubes with rippling deformation. Zbl 1179.74112
Wang, X.; Zhang, Y. C.; Xia, X. H.; Huang, C. H.
2004
A paraxial model for optical self-focussing in a nematic liquid crystal. Zbl 0899.76055
McLaughlin, David W.; Muraki, David J.; Shelley, Michael J.; Wang, Xiao
1995
A note on the fixed-time bipartite flocking for nonlinear multi-agent systems. Zbl 1423.93036
Xiao, Qizhen; Liu, Hongliang; Wang, Xiao; Huang, Yao
2020
Optimal penalized function-on-function regression under a reproducing kernel Hilbert space framework. Zbl 1409.62137
Sun, Xiaoxiao; Du, Pang; Wang, Xiao; Ma, Ping
2018
A lattice Boltzmann model for thermal non-Newtonian fluid flows through porous media. Zbl 1410.76362
Kefayati, GH. R.; Tang, H.; Chan, A.; Wang, X.
2018
Penalty methods with stochastic approximation for stochastic nonlinear programming. Zbl 1360.90180
Wang, Xiao; Ma, Shiqian; Yuan, Ya-Xiang
2017
Move-based hedging of variable annuities: a semi-analytic approach. Zbl 1371.91179
Lin, X. Sheldon; Wu, Panpan; Wang, Xiao
2016
Distribution of random correlation matrices: hyperspherical parameterization of the Cholesky factor. Zbl 1398.62133
2015
A trust region affine scaling method for bound constrained optimization. Zbl 1268.65083
Wang, Xiao
2013
Thermo-magneto-dynamic stresses and perturbation of magnetic field vector in a non-homogeneous hollow cylinder. Zbl 1205.74038
Kong, T.; Li, D. X.; Wang, X.
2009
The three-dimensional numerical simulation of aluminized composite solid propellant combustion. Zbl 1132.80324
Wang, X.; Hossain, K.; Jackson, T. L.
2008
Global attractivity, oscillation and Hopf bifurcation for a class of diffusive hematopoiesis models. Zbl 1214.35006
Wang, Xiao; Li, Zhixiang
2007
Nonlinear dynamic response of a single wall carbon nanotube subjected to radial impulse. Zbl 1161.74437
Dai, H. L.; Wang, X.
2006
Dynamic focusing effect of piezoelectric fibers subjected to thermal shock. Zbl 1119.74377
Dai, H. L.; Wang, X.
2006
Oscillations for a diffusive Nicholson’s blowflies equation with several arguments. Zbl 1084.35548
Wang, Xiao; Li, Zhi-xiang
2005
Direct computational simulations for internal condensing flows and results on attainability/stability of steady solutions, their intrinsic waviness, and their noise sensitivity. Zbl 1111.74574
Narain, A.; Liang, Q.; Yu, G.; Wang, X.
2004
Non-linear thermal buckling for local delamination near the surface of laminated cylindrical shell. Zbl 1115.74324
Wang, X.; Lu, Guoxing; Xiao, D. G.
2002
An efficient parallel algorithm for three-dimensional analysis of subsidence above gas reservoirs. Zbl 0985.76057
Schrefler, B. A.; Wang, X.; Salomoni, V. A.; Zuccolo, G.
1999
Analytic solution for interlaminar stresses in a multilaminated cylindrical shell under thermal and mechanical loads. Zbl 0758.73031
Wang, X.; Li, S. J.
1992
Some results about uncertain differential equations with time-dependent delay. Zbl 1433.34108
Wang, Xiao; Ning, Yufu; Peng, Zhen
2020
Impacts of time delay on flocking dynamics of a two-agent flock model. Zbl 07264682
Wang, Xiao; Wang, Lin; Wu, Jianhong
2019
On non-collision flocking and line-shaped spatial configuration for a modified singular Cucker-Smale model. Zbl 07264439
Liu, Hongliang; Wang, Xiao; Liu, Yicheng; Li, Xiang
2019
Six-flows on almost balanced signed graphs. Zbl 1443.05087
Wang, Xiao; Lu, You; Zhang, Cun-quan; Zhang, Shenggui
2019
Stochastic proximal quasi-Newton methods for non-convex composite optimization. Zbl 07111868
Wang, Xiaoyu; Wang, Xiao; Yuan, Ya-Xiang
2019
Optimizing authenticated garbling for faster secure two-party computation. Zbl 07216153
Katz, Jonathan; Ranellucci, Samuel; Rosulek, Mike; Wang, Xiao
2018
The dynamic stability and nonlinear vibration analysis of stiffened functionally graded cylindrical shells. Zbl 07166694
Sheng, G. G.; Wang, X.
2018
Nonlinear dynamic characteristics of bi-graphene sheets/piezoelectric laminated films considering high order van der Walls force and scale effect. Zbl 07166688
Zhan, H. Z.; Yang, F. P.; Wang, X.
2018
Ext-algebras of graded skew extensions. Zbl 1398.16039
Shen, Yuan; Wang, X.; Zhou, G.-S.
2018
The generalized moment estimation of the additive-multiplicative hazard model with auxiliary survival information. Zbl 06914556
Shang, Wenpeng; Wang, Xiao
2017
A note on the fixed-time bipartite flocking for nonlinear multi-agent systems. Zbl 1423.93036
Xiao, Qizhen; Liu, Hongliang; Wang, Xiao; Huang, Yao
2020
Some results about uncertain differential equations with time-dependent delay. Zbl 1433.34108
Wang, Xiao; Ning, Yufu; Peng, Zhen
2020
Impacts of time delay on flocking dynamics of a two-agent flock model. Zbl 07264682
Wang, Xiao; Wang, Lin; Wu, Jianhong
2019
On non-collision flocking and line-shaped spatial configuration for a modified singular Cucker-Smale model. Zbl 07264439
Liu, Hongliang; Wang, Xiao; Liu, Yicheng; Li, Xiang
2019
Six-flows on almost balanced signed graphs. Zbl 1443.05087
Wang, Xiao; Lu, You; Zhang, Cun-quan; Zhang, Shenggui
2019
Stochastic proximal quasi-Newton methods for non-convex composite optimization. Zbl 07111868
Wang, Xiaoyu; Wang, Xiao; Yuan, Ya-Xiang
2019
A new single-step iteration method for solving complex symmetric linear systems. Zbl 1391.65076
Xiao, X. Y.; Wang, X.
2018
Nonlinear vibration of FG beams subjected to parametric and external excitations. Zbl 1406.74327
Sheng, G. G.; Wang, X.
2018
Optimal penalized function-on-function regression under a reproducing kernel Hilbert space framework. Zbl 1409.62137
Sun, Xiaoxiao; Du, Pang; Wang, Xiao; Ma, Ping
2018
A lattice Boltzmann model for thermal non-Newtonian fluid flows through porous media. Zbl 1410.76362
Kefayati, GH. R.; Tang, H.; Chan, A.; Wang, X.
2018
Optimizing authenticated garbling for faster secure two-party computation. Zbl 07216153
Katz, Jonathan; Ranellucci, Samuel; Rosulek, Mike; Wang, Xiao
2018
The dynamic stability and nonlinear vibration analysis of stiffened functionally graded cylindrical shells. Zbl 07166694
Sheng, G. G.; Wang, X.
2018
Nonlinear dynamic characteristics of bi-graphene sheets/piezoelectric laminated films considering high order van der Walls force and scale effect. Zbl 07166688
Zhan, H. Z.; Yang, F. P.; Wang, X.
2018
Ext-algebras of graded skew extensions. Zbl 1398.16039
Shen, Yuan; Wang, X.; Zhou, G.-S.
2018
Stochastic quasi-Newton methods for nonconvex stochastic optimization. Zbl 1365.90182
Wang, Xiao; Ma, Shiqian; Goldfarb, Donald; Liu, Wei
2017
An uncertain currency model with floating interest rates. Zbl 1407.91259
Wang, Xiao; Ning, Yufu
2017
The geometrically nonlinear dynamic responses of simply supported beams under moving loads. Zbl 07163398
Sheng, G. G.; Wang, X.
2017
Generalized R-squared for detecting dependence. Zbl 07072186
Wang, X.; Jiang, B.; Liu, J. S.
2017
Stability of uncertain delay differential equations. Zbl 1381.34008
Wang, Xiao; Ning, Yufu
2017
Thermal and surface effects on the pull-in characteristics of circular nanoplate NEMS actuator based on nonlocal elasticity theory. Zbl 1446.74067
Yang, W. D.; Kang, W. B.; Wang, X.
2017
Penalty methods with stochastic approximation for stochastic nonlinear programming. Zbl 1360.90180
Wang, Xiao; Ma, Shiqian; Yuan, Ya-Xiang
2017
The generalized moment estimation of the additive-multiplicative hazard model with auxiliary survival information. Zbl 06914556
Shang, Wenpeng; Wang, Xiao
2017
Inexact proximal stochastic gradient method for convex composite optimization. Zbl 1390.90432
Wang, Xiao; Wang, Shuxiong; Zhang, Hongchao
2017
Minimax lower bound and optimal estimation of convex functions in the sup-norm. Zbl 1370.93258
Lebair, Teresa M.; Shen, Jinglai; Wang, Xiao
2017
Inference of gene regulatory networks using Bayesian nonparametric regression and topology information. Zbl 1368.92050
Fan, Yue; Wang, Xiao; Peng, Qinke
2017
Upper bounds on the chromatic number of triangle-free graphs with a forbidden subtree. Zbl 1364.05031
Wang, Xiao; Wu, Baoyindureng
2017
Convergence of complex uncertain sequences. Zbl 1361.40002
Chen, Xiumei; Ning, Yufu; Wang, Xiao
2016
Optimal estimation for the functional Cox model. Zbl 1345.62028
Qu, Simeng; Wang, Jane-Ling; Wang, Xiao
2016
Move-based hedging of variable annuities: a semi-analytic approach. Zbl 1371.91179
Lin, X. Sheldon; Wu, Panpan; Wang, Xiao
2016
Discussion on “Capital forbearance, ex ante life insurance guaranty schemes, and interest rate uncertainty”. Zbl 1414.91242
Wang, Xiao
2016
Positive and unbounded solution of stochastic delayed evolution equations. Zbl 1346.35090
Lv, Guangying; Wang, Liang; Wang, Xiao
2016
Adams-Simpson method for solving uncertain differential equation. Zbl 1410.60067
Wang, Xiao; Ning, Yufu; Moughal, Tauqir A.; Chen, Xiumei
2015
On the analysis of the discretized Kohn-Sham density functional theory. Zbl 1317.15008
Liu, Xin; Wen, Zaiwen; Wang, Xiao; Ulbrich, Michael; Yuan, Yaxiang
2015
Numerical methods for the mean exit time and escape probability of two-dimensional stochastic dynamical systems with non-Gaussian noises. Zbl 1338.65015
Wang, Xiao; Duan, Jinqiao; Li, Xiaofan; Luan, Yuanchao
2015
An adaptive immersed boundary-lattice Boltzmann method for simulating a flapping foil in ground effect. Zbl 1390.76781
Wu, J.; Qiu, Y. L.; Shu, C.; Zhao, N.; Wang, X.
2015
An augmented Lagrangian trust region method for equality constrained optimization. Zbl 1325.90091
Wang, Xiao; Yuan, Yaxiang
2015
Optimal prediction in an additive functional model. Zbl 06503811
Wang, Xiao; Ruppert, David
2015
Distribution of random correlation matrices: hyperspherical parameterization of the Cholesky factor. Zbl 1398.62133
2015
A refined laminated plate theory accounting for the third-order shear deformation and interlaminar transverse stress continuity. Zbl 1443.74124
Wang, X.; Shi, G.
2015
Accurate, efficient, and robust Q4-like membrane elements formulated in Cartesian coordinates using the quasi-conforming element technique. Zbl 1394.74095
Shi, Guangyu; Liu, Yingxi; Wang, X.
2015
Interlaminar stresses in piezoelectric laminated composite shells under electric, thermal and mechanical loads. Zbl 1406.74474
Kang, W. B.; Li, Y. D.; Chen, W.; Wang, X.; Fang, C. Q.
2015
Existence and nonexistence of positive solutions for fractional integral boundary value problem with two disturbance parameters. Zbl 1341.34011
Wang, Xiao; Liu, Xiping; Deng, Xuejing
2015
$$\mathrm{Ca}^{2+}$$-activation kinetics modulate successive puff/spark amplitude, duration and inter-event-interval correlations in a Langevin model of stochastic $$\mathrm{Ca}^{2+}$$ release. Zbl 1371.92058
Wang, Xiao; Hao, Yan; Weinberg, Seth H.; Smith, Gregory D.
2015
On the convergence of the self-consistent field iteration in Kohn-Sham density functional theory. Zbl 1319.65041
Liu, Xin; Wang, Xiao; Wen, Zaiwen; Yuan, Yaxiang
2014
Variable window scan statistics for normal data. Zbl 1314.62062
Wang, Xiao; Glaz, Joseph
2014
Penalized likelihood functional regression. Zbl 1285.62042
Du, Pang; Wang, Xiao
2014
Non-linear buckling for the surface rectangular delamination of laminated piezoelectric shells. Zbl 1427.74052
Wang, X.; Yang, W. D.; Sheng, G. G.
2014
An efficient boundary condition-implemented immersed boundary-lattice Boltzmann method for simulation of 3D incompressible viscous flows. Zbl 1391.76642
Wang, X.; Shu, Chang; Wu, Jie; Yang, Li Ming
2014
A multiple window scan statistic for time series models. Zbl 1333.62052
Wang, Xiao; Zhao, Bo; Glaz, Joseph
2014
Matching boundary conditions for lattice dynamics. Zbl 1352.74015
Wang, X.; Tang, S.
2013
A trust region method based on a new affine scaling technique for simple bounded optimization. Zbl 1307.90174
Wang, Xiao; Yuan, Ya-Xiang
2013
Uniform convergence and rate adaptive estimation of convex functions via constrained optimization. Zbl 1280.41008
Wang, Xiao; Shen, Jinglai
2013
Smoothing splines with varying smoothing parameter. Zbl 1279.62099
Wang, Xiao; Du, Pang; Shen, Jinglai
2013
A trust region affine scaling method for bound constrained optimization. Zbl 1268.65083
Wang, Xiao
2013
Regularized discriminative spectral regression method for heterogeneous face matching. Zbl 1373.94178
Huang, Xiangsheng; Lei, Zhen; Fan, Mingyu; Wang, Xiao; Li, Stan Z.
2013
Nonparametric estimation of spatial and space-time covariance function. Zbl 1303.62062
Choi, InKyung; Li, Bo; Wang, Xiao
2013
Numerical study of a single drop impact onto a liquid film up to the consequent formation of a crown. Zbl 1297.76175
Jiang, T.; Ouyang, J.; Li, X.; Ren, J.; Wang, X.
2013
Properties of two-machine no-wait flowshop scheduling problems. Zbl 1299.90134
Chen, Kejia; Wang, Xiao
2013
Influence of temporary migration on the transmission of infectious diseases in a migrants’ home village. Zbl 1397.92687
Wang, Lin; Wang, Xiao
2012
A visco-poroelastic theory for polymeric gels. Zbl 1371.74091
Wang, Xiao; Hong, Wei
2012
Approximations and inequalities for moving sums. Zbl 1277.60039
Glaz, Joseph; Naus, Joseph; Wang, Xiao
2012
Rigorous van der Waals effect on vibration characteristics of multi-walled carbon nanotubes under a transverse magnetic field. Zbl 1236.74016
Wang, X.; Shen, Jun Xin; Liu, Yin; Shen, Guo Guang; Lu, Guo Xin
2012
On the asymptotics of penalized spline smoothing. Zbl 1274.65012
Wang, Xiao; Shen, Jinglai; Ruppert, David
2011
Semiparametric additive transformation model under current status data. Zbl 1329.62197
Cheng, Guang; Wang, Xiao
2011
Estimation of monotone functions via $$P$$-splines: a constrained dynamical optimization approach. Zbl 1232.41009
Shen, Jinglai; Wang, Xiao
2011
Determination of the exact value for $$\Psi(m,k,k-1)$$. Zbl 1365.94011
Chang, Yanxun; Wang, Xiao
2011
A multiple attribute group decision making method based on multi-granularity interval two-tuple linguistic information. Zbl 1249.90110
Liu, Xi; Wang, Xiao; Chen, Huayou
2011
Wiener processes with random effects for degradation data. Zbl 1178.62091
Wang, Xiao
2010
General solution of the Bagley-Torvik equation with fractional-order derivative. Zbl 1221.34020
Wang, Z. H.; Wang, X.
2010
A new approach to the existence, nonexistence and uniqueness of positive almost periodic solution for a model of hematopoiesis. Zbl 1225.47072
Wang, Xiao; Zhang, Hao
2010
Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells. Zbl 1195.74034
Sheng, G. G.; Wang, X.
2010
A class of grouped Brunk estimators and penalized spline estimators for monotone regression. Zbl 1195.62041
Wang, Xiao; Shen, Jinglai
2010
Misfit dislocation dipoles in wire composite solids. Zbl 1431.74082
Wang, X.; Pan, E.; Chung, P. W.
2010
The existence of $$(q,k,\lambda ,t)$$-ADFs for $$k=4,5,6$$. Zbl 1205.05028
Wang, X.; Wu, D.; Cheng, M.
2010
Contraction conditions with perturbed linear operators and applications. Zbl 1214.47051
Liu, Yicheng; Wang, Xiao
2010
Induced continuous ordered weighted averaging operators and their applications in interval group decision making. Zbl 1224.90117
Zhou, Ligang; Chen, Huayou; Wang, Xiao; Ding, Ziqian
2010
On the anti-plane shear of an elliptic nano inhomogeneity. Zbl 1176.74045
Luo, J.; Wang, X.
2009
Oscillation criteria for forced second order differential equations with mixed nonlinearities. Zbl 1179.34034
Zheng, Zhaowen; Wang, Xiao; Han, Hongmei
2009
Optimisation of traceability and operations planning: an integrated model for perishable food production. Zbl 1198.90044
Wang, X.; Li, D.; O’Brien, C.
2009
The existence of almost difference families. Zbl 1227.05089
Wang, X.; Wu, D.
2009
Nonparametric estimation of the shape function in a gamma process for degradation data. Zbl 1170.62027
Wang, Xiao
2009
Thermo-magneto-dynamic stresses and perturbation of magnetic field vector in a non-homogeneous hollow cylinder. Zbl 1205.74038
Kong, T.; Li, D. X.; Wang, X.
2009
New upper bound for $$(m,k,\lambda)$$-IRSs with $$\lambda\geq2$$. Zbl 1367.94016
Chang, Yanxun; Wang, Xiao
2009
The upper and lower geodetic numbers of graphs. Zbl 1224.05137
Dong, Lin; Lu, Changhong; Wang, Xiao
2009
Thermomechanical vibration analysis of a functionally graded shell with flowing fluid. Zbl 1151.74364
Sheng, G. G.; Wang, X.
2008
A pseudo-likelihood estimation method for nonhomogeneous gamma process model with random effects. Zbl 1149.62024
Wang, Xiao
2008
Globally dynamical behaviors for discrete Lasota-Wazewska model with several delays and almost periodic coefficients. Zbl 1158.39009
Wang, Xiao; Li, Zhixiang
2008
The three-dimensional numerical simulation of aluminized composite solid propellant combustion. Zbl 1132.80324
Wang, X.; Hossain, K.; Jackson, T. L.
2008
Model-independent estimates of dark matter distributions. Zbl 1205.62216
Wang, Xiao; Walker, Matthew; Pal, Jayanta; Woodroofe, Michael; Mateo, Mario
2008
The existence, uniqueness and global attractivity of a positive almost periodic solution for a Lasota-Wazewska model. Zbl 1199.34371
Wang, Xiao; Li, Zhixiang
2008
Global attractivity and oscillations in a nonlinear impulsive parabolic equation with delay. Zbl 1173.35716
Wang, Xiao; Li, Zhixiang
2008
An iterated local search heuristic for the capacitated prize-collecting travelling salesman problem. Zbl 1153.90405
Tang, L.; Wang, X.
2008
Dynamics for a type of general reaction-diffusion model. Zbl 1139.35363
Wang, Xiao; Li, Zhixiang
2007
Dynamic programming for minimum Steiner trees. Zbl 1148.68038
Fuchs, B.; Kern, W.; Molle, D.; Richter, S.; Rossmanith, P.; Wang, X.
2007
Dynamics for a class of general hematopoiesis model with periodic coefficients. Zbl 1120.34053
Wang, Xiao; Li, Zhixiang
2007
Globally dynamical behaviors for a class of nonlinear functional difference equation with almost periodic coefficients. Zbl 1131.39010
Wang, Xiao; Li, Zhixiang
2007
Buckling of embedded multi-walled carbon nanotubes under combined torsion and axial loading. Zbl 1155.74347
Wang, X.; Lu, Guoxing; Lu, Y. J.
2007
Three-dimensional Green’s functions for a steady point heat source in a functionally graded half-space and some related problems. Zbl 1213.80020
Wang, X.; Pan, E.; Roy, A. K.
2007
Wave propagation in carbon nanotubes embedded in an elastic matrix. Zbl 1161.74418
Dong, K.; Wang, X.
2007
A Kiefer-Wolfowitz comparison theorem for Wicksell’s problem. Zbl 1209.62082
Wang, Xiao; Woodroofe, Michael
2007
...and 35 more Documents
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#### Cited by 1,281 Authors

 23 Wang, Xiao 8 Balakrishnan, Narayanaswamy 8 Dai, Hongliang 7 Yuan, Ya-xiang 6 Wang, Xu 5 Glaz, Joseph 5 Guo, Bo 5 Huang, Zhengge 5 Lokshtanov, Daniel 5 Saurabh, Saket 5 Wang, Xiaolin 5 Zhang, Chengjian 5 Zhou, Yueting 4 Cui, Jingjing 4 Duan, Jinqiao 4 Fomin, Fedor V. 4 Gao, Cun-Fa 4 Ghorbanpour Arani, Ali 4 Kiani, Keivan 4 Liu, Xin 4 Liu, Yicheng 4 Lu, Xuewen 4 Meng, Fanwei 4 Nieto Roig, Juan Jose 4 Shao, Jianying 4 Tang, Shaoqiang 4 Wen, Zaiwen 4 Xu, Zhong 4 Zheng, Zhaowen 3 Aguilera, Ana M. 3 Dai, Ming 3 Dai, Ting 3 Dung, Dao Van 3 Hosseini, Seyed Mahmoud 3 Hu, Changhua 3 Lee, Kangyong 3 Li, Xiaofan 3 Li, Zhixiang 3 Liu, Kaixin 3 Liu, Xiongwei 3 McCluskey, C. Connell 3 Nguyen, Van-Dung 3 Ning, Yufu 3 Noels, Ludovic 3 Ocaña, Francisco A. 3 Ouyang, Zigen 3 Pan, Donghui 3 Pan, Ernie 3 Shariyat, M. 3 Shen, Jinglai 3 Sheng, G. G. 3 Shi, Yimin 3 Stefanou, George Demetrios 3 Suchý, Ondřej 3 Sun, Chengqi 3 Tahani, Masoud 3 Ur Rehman, Mujeeb 3 Wang, Jane-Ling 3 Wang, Ligong 3 Wang, Xiang 3 Wu, Ling 3 Xiao, Xiaoyong 3 Yan, Yan 3 Zenkour, Ashraf M. 3 Zhang, Jiwei 3 Zhao, Bo 3 Zheng, Chunxiong 3 Zhou, Hui 3 Zhou, Qiyuan 2 Abolbashari, Mohammad Hossein 2 Aghdam, Mohammad Mohammadi 2 Alzabut, Jehad O. 2 Arefmanesh, Ali 2 Bai, Zhaojun 2 Bai, Zhengjian 2 Banerjee, Moulinath 2 Barros, Anne 2 Cai, Jinming 2 Cai, Yunfeng 2 Chen, Weiqiu 2 Chen, Wenqiang 2 Chen, Xiaoxing 2 Cheng, Guang 2 Dai, Honglin 2 Dong, Cheng 2 El-Sobky, Bothina 2 Fan, Zhenbin 2 Fouladirad, Mitra 2 Gao, Bin 2 Grandoni, Fabrizio 2 Guo, Junhong 2 Gutkin, Mikhail Yu. 2 Han, Weiwei 2 Hao, Huibing 2 Hasheminejad, Seyyed Mohammad 2 Hernández, Eduardo M. 2 Huang, Xuelin 2 Huang, Yanghong 2 Ji, Songsong 2 Jia, Lifen ...and 1,181 more Authors
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#### Cited in 190 Serials

 46 Applied Mathematical Modelling 29 Acta Mechanica 25 Applied Mathematics and Computation 22 European Journal of Mechanics. A. Solids 12 Computers & Mathematics with Applications 12 Archive of Applied Mechanics 11 Mathematical Problems in Engineering 10 Computer Methods in Applied Mechanics and Engineering 10 Journal of Computational and Applied Mathematics 10 European Journal of Operational Research 10 Journal of Statistical Computation and Simulation 9 Meccanica 9 Applied Mathematics Letters 9 Nonlinear Analysis. Real World Applications 8 Soft Computing 8 Advances in Difference Equations 7 Statistics & Probability Letters 7 Computational Mechanics 7 Abstract and Applied Analysis 7 Acta Mechanica Sinica 6 International Journal of Engineering Science 6 Journal of Multivariate Analysis 6 Pattern Recognition 6 Computational Statistics and Data Analysis 5 Journal of the Mechanics and Physics of Solids 5 The Annals of Statistics 5 Journal of the American Statistical Association 5 Algorithmica 5 Numerical Algorithms 5 Communications in Statistics. Theory and Methods 5 Journal of Elasticity 5 SIAM Journal on Optimization 5 SIAM Journal on Scientific Computing 5 Computational and Applied Mathematics 5 Optimization Methods & Software 5 Electronic Journal of Statistics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Engineering Analysis with Boundary Elements 4 Discrete Dynamics in Nature and Society 4 Communications in Nonlinear Science and Numerical Simulation 4 Methodology and Computing in Applied Probability 4 International Journal of Biomathematics 3 Computers and Fluids 3 Journal of Computational Physics 3 Mathematical Methods in the Applied Sciences 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Statistical Planning and Inference 3 Applied Mathematics and Mechanics. (English Edition) 3 SIAM Journal on Discrete Mathematics 3 SIAM Journal on Matrix Analysis and Applications 3 Continuum Mechanics and Thermodynamics 3 Complexity 3 Fractional Calculus & Applied Analysis 3 AMM. Applied Mathematics and Mechanics. (English Edition) 2 The Canadian Journal of Statistics 2 Discrete Mathematics 2 International Journal of Heat and Mass Transfer 2 International Journal of Solids and Structures 2 Information Processing Letters 2 Journal of Mathematical Analysis and Applications 2 Chaos, Solitons and Fractals 2 Biometrics 2 Journal of Differential Equations 2 Mechanics Research Communications 2 Applied Numerical Mathematics 2 Communications in Statistics. Simulation and Computation 2 Computational Optimization and Applications 2 Lifetime Data Analysis 2 Journal of Nonparametric Statistics 2 Mathematics and Mechanics of Solids 2 Nonlinear Dynamics 2 Chaos 2 Acta Mathematica Sinica. English Series 2 Combustion Theory and Modelling 2 OR Spectrum 2 Multiscale Modeling & Simulation 2 Fuzzy Optimization and Decision Making 2 International Journal of Computational Methods 2 Mathematical Biosciences and Engineering 2 Frontiers of Mathematics in China 2 The Annals of Applied Statistics 2 International Journal of Structural Stability and Dynamics 2 International Journal of Applied and Computational Mathematics 1 Modern Physics Letters B 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 International Journal of Systems Science 1 International Journal of Theoretical Physics 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Metrika 1 Psychometrika 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Bulletin of Mathematical Biology 1 Acta Mathematica Vietnamica 1 Annals of the Institute of Statistical Mathematics ...and 90 more Serials
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#### Cited in 46 Fields

 191 Mechanics of deformable solids (74-XX) 113 Numerical analysis (65-XX) 102 Statistics (62-XX) 85 Ordinary differential equations (34-XX) 60 Operations research, mathematical programming (90-XX) 49 Biology and other natural sciences (92-XX) 46 Partial differential equations (35-XX) 40 Probability theory and stochastic processes (60-XX) 26 Fluid mechanics (76-XX) 25 Computer science (68-XX) 22 Combinatorics (05-XX) 22 Operator theory (47-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Systems theory; control (93-XX) 9 Difference and functional equations (39-XX) 9 Functional analysis (46-XX) 8 Real functions (26-XX) 8 Mechanics of particles and systems (70-XX) 6 Integral equations (45-XX) 6 Optics, electromagnetic theory (78-XX) 5 Approximations and expansions (41-XX) 5 Information and communication theory, circuits (94-XX) 4 Special functions (33-XX) 3 Sequences, series, summability (40-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Astronomy and astrophysics (85-XX)