# zbMATH — the first resource for mathematics

## Zhang, Xia

Compute Distance To:
 Author ID: zhang.xia Published as: Zhang, X; Zhang, X.; Zhang, Xia
 Documents Indexed: 209 Publications since 1989
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#### Co-Authors

 12 single-authored 13 Liu, Guizhen 12 Fu, Yongqiang 8 Liu, Ming 6 Laan, Valdis 6 Zhang, Binlin 5 Cai, Jiansheng 5 Chen, Yuqun 5 Hou, Jianfeng 5 Knauer, Ulrich 4 Liu, Jiren 4 Wang, Yanming 4 Zhang, Chao 3 Ma, Huawen 3 Xiang, Mingqi 3 Yan, Guiying 3 Zhang, Qian 2 Bai, Chengjie 2 Gao, Yan 2 Gong, Ke 2 Guo, Tiexin 2 Huo, Yan 2 Li, Tingyu 2 Li, Xing 2 Rump, Wolfgang 2 Wang, Baozheng 2 Wang, Jihui 2 Wen, Xuezhi 2 Wu, Yipeng 2 Xia, Zunquan 2 Xiao, Zhi 2 Xu, Heng-Ying 2 Xu, Yihong 2 Yao, Kui 2 Yu, Jiguo 2 Yu, Mei 2 Zhang, Yuzhuo 2 Zhao, Hong 2 Zhao, Kai 2 Zhou, Xuan 2 Zhou, Yunyan 1 Chen, Xiangling 1 Chen, Zhi-Long 1 Cheng, Wanjun 1 Choi, Ilkyoo 1 Dietzel, Carsten 1 Fu, Haiying 1 Gao, Huimin 1 Gao, Wenwu 1 Ge, Liansheng 1 He, Bo 1 Hu, Xingtang 1 Huang, Chi 1 Jiang, Lining 1 Jiang, Min 1 Jing, Naihuan 1 Li, Ming 1 Li, Tingting 1 Lian, Yuping 1 Liao, Liangwen 1 Liu, Zheng 1 Ma, Zhongtai 1 Mo, Zeyao 1 Paseka, Jan 1 Peng, Wen Liang 1 Repovš, Dušan D. 1 Sun, Jinling 1 Sun, Yu 1 Ting, Shan 1 Tong, Qingxi 1 Van der Woude, Jacob Willem 1 Wang, Jiandong 1 Wang, Lei 1 Wang, Lina 1 Wang, Qingwen 1 Wang, YaoKun 1 Wu, Bo 1 Xiao, Zhijiang 1 Yang, Guoqing 1 Yao, Jia 1 Yu, Gexin 1 Yu, Xingxing 1 Yue, Jun 1 Zhang, Aiqing 1 Zhang, Bing 1 Zhang, Hailiang 1 Zhang, Jianhua 1 Zhang, Jianhua 1 Zhang, Meina 1 Zhang, Mengen 1 Zhang, Shiliang 1 Zhang, Wenling 1 Zhang, Xing 1 Zhao, Xudong 1 Zheng, Lanfen 1 Zhou, Shujuan 1 Zhou, Shulin 1 Zhu, Shi-xin 1 Zhu, Yan 1 Zou, Pengcheng
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#### Serials

 6 Ars Combinatoria 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Acta Mathematica Sinica. English Series 5 Journal of Software 4 Semigroup Forum 4 Southeast Asian Bulletin of Mathematics 3 Discrete Mathematics 3 Information Processing Letters 3 Mathematical Methods in the Applied Sciences 3 Annales Polonici Mathematici 3 Applied Mathematics and Computation 3 Electronic Journal of Differential Equations (EJDE) 3 Fractals 3 Journal of South China Normal University. Natural Science Edition 2 International Journal of Modern Physics B 2 Computers & Mathematics with Applications 2 Algebra Universalis 2 Applied Mathematics Letters 2 Journal of Inequalities and Applications 2 Journal of Applied Mathematics and Computing 2 Journal of Shandong University. Natural Science 2 Central European Journal of Mathematics 2 Journal of University of Science and Technology of China 2 Complex Variables and Elliptic Equations 2 Frontiers of Mathematics in China 2 Proceedings of the Estonian Academy of Sciences 2 Science China. Mathematics 1 Communications in Algebra 1 Computer Methods in Applied Mechanics and Engineering 1 Discrete Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Czechoslovak Mathematical Journal 1 Fuzzy Sets and Systems 1 Journal of Algebra 1 Journal of Graph Theory 1 Journal of the Korean Mathematical Society 1 Mathematics and Computers in Simulation 1 Monatshefte für Mathematik 1 Proceedings of the Japan Academy. Series A 1 Studia Logica 1 Journal of Mathematics. Wuhan University 1 Acta Mathematicae Applicatae Sinica 1 Acta Scientiarum Naturalium Universitatis Sunyatseni 1 Advances in Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Northeastern Mathematical Journal 1 Mathematica Applicata 1 International Journal of Computer Mathematics 1 Chinese Journal of Numerical Mathematics and Applications 1 Discrete and Continuous Dynamical Systems 1 Science in China. Series E 1 Abstract and Applied Analysis 1 Journal of Combinatorial Optimization 1 Journal of Ningxia University. Natural Science Edition 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Acta Analysis Functionalis Applicata. AAFA 1 Quasigroups and Related Systems 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Advanced Nonlinear Studies 1 Journal of Jilin University. Science Edition 1 Communications on Pure and Applied Analysis 1 Journal of Systems Engineering 1 Quantum Information Processing 1 Transactions of Beijing Institute of Technology 1 Journal of Hefei University of Technology. Natural Science 1 Acta Mathematica Sinica. Chinese Series 1 Nonlinear Analysis. Hybrid Systems 1 Journal of North University of China. Natural Science Edition 1 Chinese Journal of Engineering Mathematics 1 Advances in Nonlinear Analysis 1 Journal of Function Spaces 1 Open Mathematics 1 Categories and General Algebraic Structures with Applications
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#### Fields

 30 Combinatorics (05-XX) 25 Partial differential equations (35-XX) 22 Functional analysis (46-XX) 18 Group theory and generalizations (20-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 15 Operator theory (47-XX) 10 Computer science (68-XX) 6 Associative rings and algebras (16-XX) 5 General algebraic systems (08-XX) 5 Quantum theory (81-XX) 4 Operations research, mathematical programming (90-XX) 3 Mathematical logic and foundations (03-XX) 3 Category theory; homological algebra (18-XX) 3 Measure and integration (28-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Probability theory and stochastic processes (60-XX) 3 Information and communication theory, circuits (94-XX) 2 Nonassociative rings and algebras (17-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH

106 Publications have been cited 554 times in 446 Documents Cited by Year
Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials. Zbl 1338.35013
Zhang, Xia; Zhang, Binlin; Repovš, Dušan
2016
Inclusions and inhomogeneities in strain gradient elasticity with couple stresses and related problems. Zbl 1119.74334
Zhang, X.; Sharma, P.
2005
A nonhomogeneous fractional $$p$$-Kirchhoff type problem involving critical exponent in $$\mathbb{R}^N$$. Zbl 1372.35348
Xiang, Mingqi; Zhang, Binlin; Zhang, Xia
2017
Ground states for fractional Schrödinger equations involving a critical nonlinearity. Zbl 1346.35224
Zhang, Xia; Zhang, Binlin; Xiang, Mingqi
2016
Multiple solutions for a class of $$p(x)$$-Laplacian equations in $${\mathbb R}^N$$ involving the critical exponent. Zbl 1189.35128
Fu, Yongqiang; Zhang, Xia
2010
A multiplicity result for $$p(x)$$-Laplacian problem in $$\mathbb R^N$$. Zbl 1156.35363
Fu, Yongqiang; Zhang, Xia
2009
Nonlinear deformation and breakup of stretching liquid bridges. Zbl 0899.76133
Zhang, X.; Padgett, R. S.; Basaran, O. A.
1996
A simulated annealing and hill-climbing algorithm for the traveling tournament problem. Zbl 1103.90042
Lim, A.; Rodrigues, B.; Zhang, X.
2006
An atomistic and non-classical continuum field theoretic perspective of elastic interactions between defects (force dipoles) of various symmetries and application to graphene. Zbl 1120.74315
Zhang, X.; Jiao, K.; Sharma, P.; Yakobson, B. I.
2006
Global stabilization of a class of time-delay nonlinear systems. Zbl 1121.93065
Zhang, X.; Cheng, Z.
2005
Global asymptotic stabilization of feedforward nonlinear systems with a delay in the input. Zbl 1120.93048
Zhang, X.; Gao, Hongyan; Zhang, C.
2006
The bijective soft set with its operations. Zbl 1205.03061
Gong, Ke; Xiao, Zhi; Zhang, Xia
2010
A new simultaneous decomposition of a matrix quaternity over an arbitrary division ring with applications. Zbl 1252.15014
Wang, Qing-Wen; Zhang, Xia; Van Der Woude, J. W.
2012
A meshless, compositional approach to shape optimal design. Zbl 1173.74371
Zhang, X.; Rayasam, M.; Subbarayan, G.
2007
Some sufficient conditions for a graph to be of $$C_f$$ 1. Zbl 1079.05034
Zhang, Xia; Liu, Guizhen
2006
Meshless Galerkin least-squares method. Zbl 1143.74390
Pan, X. F.; Zhang, X.; Lu, M. W.
2005
A FEMP method and its application in modeling dynamic response of reinforced concrete subjected to impact loading. Zbl 1228.74116
Lian, Y. P.; Zhang, X.; Zhou, X.; Ma, Z. T.
2011
$$f$$-colorings of some graphs of $$f$$-class 1. Zbl 1155.05029
Zhang, Xia; Liu, Guizhen
2008
Some graphs of class 1 for $$f$$-colorings. Zbl 1132.05026
Zhang, Xia; Liu, Guizhen
2008
The classification of complete graphs $$K_n$$ on $$f$$-coloring. Zbl 1080.05035
Zhang, Xia; Liu, Guizhen
2005
Injective hulls for posemigroups. Zbl 1332.06047
Zhang, Xia; Laan, Valdis
2014
On homological classification of pomonoids by regular weak injectivity properties of $$S$$-posets. Zbl 1143.06007
Zhang, Xia; Laan, Valdis
2007
Experimental NMR realization of a generalized quantum search algorithm. Zbl 0969.81513
Long, G. L.; Yan, H. Y.; Li, Y. S.; Tu, C. C.; Tao, J. X.; Chen, H. M.; Liu, M. L.; Zhang, X.; Luo, J.; Xiao, L.; Zeng, X. Z.
2001
On injective hulls of $$S$$-posets. Zbl 1346.06010
Zhang, Xia; Laan, Valdis
2015
Solutions for nonlinear elliptic equations with variable growth and degenerate coercivity. Zbl 1305.35063
Zhang, Xia; Fu, Yongqiang
2014
On mean ergodic semigroups of random linear operators. Zbl 1250.47007
Zhang, Xia
2012
Von Neumann’s mean ergodic theorem on complete random inner product modules. Zbl 1235.47015
Zhang, Xia; Guo, Tiexin
2011
Equitable edge-colorings of simple graphs. Zbl 1221.05168
Zhang, Xia; Liu, Guizhen
2011
The classification of regular graphs on $$f$$-colorings. Zbl 1224.05200
Zhang, Xia; Wang, Jihui; Liu, Guizhen
2008
Portfolio selection under DEA-based relative financial strength indicators: Case of US industries. Zbl 1153.90454
Edirisinghe, N. C. P.; Zhang, X.
2008
Scheduling sports competitions at multiple venues – revisited. Zbl 1137.90504
Lim, A.; Rodrigues, B.; Zhang, X.
2006
A critical Kirchhoff type problem involving the fractional $$p$$-Laplacian in $$\mathbb R^N$$. Zbl 1402.35308
Xiang, Mingqi; Zhang, Binlin; Zhang, Xia
2018
Bound-preserving high-order schemes. Zbl 1368.65149
Xu, Z.; Zhang, X.
2017
Gradient estimates for the strong $$p(x)$$-Laplace equation. Zbl 1360.35309
Zhang, Chao; Zhang, Xia; Zhou, Shulin
2017
Injective hulls for ordered algebras. Zbl 1404.06015
Zhang, Xia; Laan, Valdis
2016
Quotients and subalgebras of sup-algebras. Zbl 1336.08005
Zhang, Xia; Laan, Valdis
2015
Stabilization of switched systems with polytopic uncertainties via composite quadratic functions. Zbl 1296.93155
Zhang, Xia; Gao, Yan; Xia, Zun-Quan
2014
$$f$$-class two graphs whose $$f$$-cores have maximum degree two. Zbl 1288.05106
Zhang, Xia; Yan, Gui Ying; Cai, Jian Sheng
2014
New traveling wave solutions for a class of nonlinear evolution equations. Zbl 1218.35202
Bai, Cheng-Jie; Zhao, Hong; Xu, Heng-Ying; Zhang, Xia
2011
Edge-choosability of planar graphs without non-induced 5-cycles. Zbl 1189.05058
Cai, Jiansheng; Hou, Jianfeng; Zhang, Xia; Liu, Guizhen
2009
Classification of monoids by injectivities. I: C-injectivity. Zbl 1141.20042
Zhang, Xia; Knauer, Ulrich; Chen, Yuqun
2008
Unsteady simulations of the flow around a short surface-mounted cylinder. Zbl 1235.76085
Pattenden, R. J.; Bressloff, N. W.; Turnock, S. R.; Zhang, X.
2007
Edge covering coloring of nearly bipartite graphs. Zbl 1114.05042
Wang, Jihui; Zhang, Xia; Liu, Guizhen
2006
Coarse grain parallel finite element simulations for incompressible flows. Zbl 0923.76113
Grant, P. W.; Webster, M. F.; Zhang, X.
1998
Renormalized solutions for the fractional $$p(x)$$-Laplacian equation with $$L^1$$ data. Zbl 1433.35156
Zhang, Chao; Zhang, Xia
2020
On partitions of $$K_{2, 3}$$-free graphs under degree constraints. Zbl 1397.05140
Hou, Jianfeng; Ma, Huawen; Yu, Jiguo; Zhang, Xia
2018
Improved coupling of finite element method with material point method based on a particle-to-surface contact algorithm. Zbl 1423.74870
Chen, Z. P.; Qiu, X. M.; Zhang, X.; Lian, Y. P.
2015
A mesh-grading material point method and its parallelization for problems with localized extreme deformation. Zbl 1423.74901
Lian, Y. P.; Yang, P. F.; Zhang, X.; Zhang, F.; Liu, Y.; Huang, P.
2015
On a certain type of nonlinear differential equations admitting transcendental meromorphic solutions. Zbl 1287.34077
Zhang, Xia; Liao, LiangWen
2013
A new sufficient condition for graphs of $$f$$-class 1. Zbl 1249.05154
Zhang, Xia; Liu, Guizhen; Cai, Jiansheng; Hou, Jianfeng
2010
Multiple solutions for a class of $$p(x)$$-Laplacian equations involving the critical exponent. Zbl 1193.35056
Zhang, Xing; Zhang, Xia; Fu, Yongqiang
2010
An algorithm for solving the minimum-norm point problem over the intersection of a polytope and an affine set. Zbl 0986.90028
Fujishige, S.; Liu, Xiaojun; Zhang, X.
2000
3-D numerical analysis of natural convective liquid cooling of a $$3\times 3$$ heater array in rectangular enclosures. Zbl 0973.76610
Tou, S. K. W.; Tso, C. P.; Zhang, X.
1999
Some advances in the analysis of fluid flows. Zbl 0918.76035
Bathe, K. J.; Zhang, H.; Zhang, X.
1997
One-sided orthogonality, orthomodular spaces, quantum sets, and a class of Garside groups. Zbl 1416.51004
Dietzel, Carsten; Rump, Wolfgang; Zhang, Xia
2019
The Hadamard fractional calculus of a fractal function. Zbl 1433.26009
Wu, Yipeng; Yao, Kui; Zhang, Xia
2018
Epimorphisms of $$S$$-quantales. Zbl 1439.06013
Xiao, Zhijiang; Zhang, Xia
2018
Quasi-finite-time control for high-order nonlinear systems with mismatched disturbances via mapping filtered forwarding technique. Zbl 1358.93142
Zhang, X.; Huang, X. L.; Lu, H. Q.
2017
Note on the perfect EIC-graphs. Zbl 1410.05076
Yue, Jun; Zhang, Shiliang; Zhang, Xia
2016
On the $$f$$-chromatic class of a multi-wheel graph. Zbl 1413.05131
Zhang, Xia; Zhu, Yan
2016
A coupled finite difference material point method and its application in explosion simulation. Zbl 1356.80062
Cui, X. X.; Zhang, X.; Zhou, X.; Liu, Y.; Zhang, F.
2014
On almost surely bounded semigroups of random linear operators. Zbl 1282.81099
Zhang, Xia; Liu, Ming
2013
On conditional mean ergodic semigroups of random linear operators. Zbl 06224203
Zhang, Xia
2012
The mean ergodic theorem on random reflexive random normed modules. Zbl 1266.47024
Zhang, Xia; Guo, Tiexin
2012
Input/output selection in DEA under expert information, with application to financial markets. Zbl 1206.91019
Edirisinghe, N. C. P.; Zhang, X.
2010
Regular injectivity of $$S$$-posets over Clifford pomonoids. Zbl 1199.06061
Zhang, Xia
2008
Classification of monoids by injectivities. II: CC-injectivity. Zbl 1141.20043
Zhang, Xia; Knauer, Ulrich; Chen, Yuqun
2008
Time accurate numerical study of turbulent supersonic jets. Zbl 1236.76048
Rona, A.; Zhang, X.
2004
Geometry effects on flow transition in multilouvered fins – onset, propagation, and characteristic frequencies. Zbl 1091.76508
Tafti, D. K.; Zhang, X.
2001
Classification and effects of thermal wakes on heat transfer in multilouvered fins. Zbl 0983.76500
Zhang, X.; Tafti, D. K.
2001
Density and gradient estimates for non degenerate Brownian SDEs with unbounded measurable drift. Zbl 07285692
Menozzi, S.; Pesce, A.; Zhang, X.
2021
Constructing likelihood functions for interval-valued random variables. Zbl 1444.62139
Zhang, X.; Beranger, B.; Sisson, S. A.
2020
Box dimension of Weyl-Marchaud fractional derivative of linear fractal interpolation functions. Zbl 1433.28025
Peng, Wen Liang; Yao, Kui; Zhang, Xia; Yao, Jia
2019
Planar graphs with girth at least 5 are $$(3, 4)$$-colorable. Zbl 1422.05035
Choi, Ilkyoo; Yu, Gexin; Zhang, Xia
2019
On natural modes in moonpools and gaps in finite depth. Zbl 1419.76346
Molin, Bernard; Zhang, X.; Huang, H.; Remy, F.
2018
The classification of $$f$$-coloring of graphs with large maximum degree. Zbl 1426.05037
Cai, Jiansheng; Yan, Guiying; Zhang, Xia
2017
Graphs of $$f$$-class 1. Zbl 1396.05043
Zhang, Xia; Hou, Jianfeng; Liu, Guizhen; Yan, Guiying
2017
The correlation between the $$f$$-chromatic class and the $$g_c$$-chromatic class of a simple graph. Zbl 06836972
Zhang, Xia
2017
Disconnected $$g_c$$-critical graphs. Zbl 1376.05063
Zhang, Xia
2017
On nuclei and conuclei of $$S$$-quantales. Zbl 1379.06005
Zhang, Xia; Li, Tingyu
2017
Existence of solutions for critical fractional Kirchhoff problems. Zbl 1366.35231
Zhang, Xia; Zhang, Chao
2017
Some class 1 graphs on $$g_c$$-colorings. Zbl 1348.05079
Ma, Hua Wen; Zhang, Xia
2016
A minimization problem with variable growth on Nehari manifold. Zbl 1361.46035
Zhang, Xia
2016
A delay-range-partition approach to analyse stability of linear systems with time-varying delays. Zbl 1346.93305
Xue, Y.; Zhang, X.; Han, Y. Y.; Shi, M.
2016
Comment on “One-way deficit of two qubit X states”. Zbl 1333.81032
Jing, Naihuan; Zhang, Xia; Wang, Yao-Kun
2015
A characterization of a pomonoid $$S$$ all of its cyclic $$S$$-posets are regular injective. Zbl 1371.06028
Zhang, Xia; Zhang, Wenling; Knauer, Ulrich
2013
Dynamical Casimir-polder force in a cavity comprising a dielectric with output coupling. Zbl 1295.81123
Yang, H.; Zheng, T. Y.; Shao, X. Q.; Zhang, X.; Pan, S. M.
2013
On Post’s and Markov’s examples of semigroups with unsolvable word problem. Zbl 1299.20062
Zhang, Xia; Jiang, Min
2013
Exponential stabilizability of switched systems with polytopic uncertainties. Zbl 1269.34069
Zhang, Xia; Xia, Zun-Quan; Gao, Yan
2012
Solutions of $$p(x)$$-Laplacian equations with critical exponent and perturbations in $$R^N$$. Zbl 1259.35098
Zhang, Xia; Fu, Yongqiang
2012
On edge covering colorings of graphs. Zbl 1260.68308
Zhang, Xia; Liu, Guizhen
2011
On the fractional $$f$$-chromatic index of a graph. Zbl 1214.05034
Zhang, Xia; Yu, Jiguo; Liu, Guizhen
2010
Improved modification direction methods. Zbl 1198.94029
Kim, H. J.; Kim, C.; Choi, Y.; Wang, S.; Zhang, X.
2010
Equipment scheduling problem under disruptions in mail processing and distribution centres. Zbl 1171.90413
Zhang, X.; Chakravarthy, A.; Gu, Q.
2009
Solutions for a class of hemivariational inequalities with $$p(x)$$-Laplacian. Zbl 1170.35046
Zhang, Xia; Fu, Yongqiang
2009
Quantum dot-DNA interaction: Computational issues and preliminary insights on use of quantum dots as biosensors. Zbl 1162.92007
Anandampillai, S.; Zhang, X.; Sharma, P.; Lynch, Gillian C.; Franchek, M. A.; Larin, K. V.
2008
Clifford semigroups with genus zero. Zbl 1174.20328
Zhang, Xia
2008
Various notions of weak injectivity over Clifford semigroups. Zbl 1154.20057
Zhang, Xia; Knauer, Ulrich; Wang, Yanming
2008
Chain conditions on essential subacts. Zbl 1139.20060
Zhang, Xia; Chen, Yuqun; Wang, Yanming
2006
Functional properties of Cayley constructions. Zbl 1141.18003
Knauer, Ulrich; Wang, Yanming; Zhang, Xia
2006
Density and gradient estimates for non degenerate Brownian SDEs with unbounded measurable drift. Zbl 07285692
Menozzi, S.; Pesce, A.; Zhang, X.
2021
Renormalized solutions for the fractional $$p(x)$$-Laplacian equation with $$L^1$$ data. Zbl 1433.35156
Zhang, Chao; Zhang, Xia
2020
Constructing likelihood functions for interval-valued random variables. Zbl 1444.62139
Zhang, X.; Beranger, B.; Sisson, S. A.
2020
One-sided orthogonality, orthomodular spaces, quantum sets, and a class of Garside groups. Zbl 1416.51004
Dietzel, Carsten; Rump, Wolfgang; Zhang, Xia
2019
Box dimension of Weyl-Marchaud fractional derivative of linear fractal interpolation functions. Zbl 1433.28025
Peng, Wen Liang; Yao, Kui; Zhang, Xia; Yao, Jia
2019
Planar graphs with girth at least 5 are $$(3, 4)$$-colorable. Zbl 1422.05035
Choi, Ilkyoo; Yu, Gexin; Zhang, Xia
2019
A critical Kirchhoff type problem involving the fractional $$p$$-Laplacian in $$\mathbb R^N$$. Zbl 1402.35308
Xiang, Mingqi; Zhang, Binlin; Zhang, Xia
2018
On partitions of $$K_{2, 3}$$-free graphs under degree constraints. Zbl 1397.05140
Hou, Jianfeng; Ma, Huawen; Yu, Jiguo; Zhang, Xia
2018
The Hadamard fractional calculus of a fractal function. Zbl 1433.26009
Wu, Yipeng; Yao, Kui; Zhang, Xia
2018
Epimorphisms of $$S$$-quantales. Zbl 1439.06013
Xiao, Zhijiang; Zhang, Xia
2018
On natural modes in moonpools and gaps in finite depth. Zbl 1419.76346
Molin, Bernard; Zhang, X.; Huang, H.; Remy, F.
2018
A nonhomogeneous fractional $$p$$-Kirchhoff type problem involving critical exponent in $$\mathbb{R}^N$$. Zbl 1372.35348
Xiang, Mingqi; Zhang, Binlin; Zhang, Xia
2017
Bound-preserving high-order schemes. Zbl 1368.65149
Xu, Z.; Zhang, X.
2017
Gradient estimates for the strong $$p(x)$$-Laplace equation. Zbl 1360.35309
Zhang, Chao; Zhang, Xia; Zhou, Shulin
2017
Quasi-finite-time control for high-order nonlinear systems with mismatched disturbances via mapping filtered forwarding technique. Zbl 1358.93142
Zhang, X.; Huang, X. L.; Lu, H. Q.
2017
The classification of $$f$$-coloring of graphs with large maximum degree. Zbl 1426.05037
Cai, Jiansheng; Yan, Guiying; Zhang, Xia
2017
Graphs of $$f$$-class 1. Zbl 1396.05043
Zhang, Xia; Hou, Jianfeng; Liu, Guizhen; Yan, Guiying
2017
The correlation between the $$f$$-chromatic class and the $$g_c$$-chromatic class of a simple graph. Zbl 06836972
Zhang, Xia
2017
Disconnected $$g_c$$-critical graphs. Zbl 1376.05063
Zhang, Xia
2017
On nuclei and conuclei of $$S$$-quantales. Zbl 1379.06005
Zhang, Xia; Li, Tingyu
2017
Existence of solutions for critical fractional Kirchhoff problems. Zbl 1366.35231
Zhang, Xia; Zhang, Chao
2017
Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials. Zbl 1338.35013
Zhang, Xia; Zhang, Binlin; Repovš, Dušan
2016
Ground states for fractional Schrödinger equations involving a critical nonlinearity. Zbl 1346.35224
Zhang, Xia; Zhang, Binlin; Xiang, Mingqi
2016
Injective hulls for ordered algebras. Zbl 1404.06015
Zhang, Xia; Laan, Valdis
2016
Note on the perfect EIC-graphs. Zbl 1410.05076
Yue, Jun; Zhang, Shiliang; Zhang, Xia
2016
On the $$f$$-chromatic class of a multi-wheel graph. Zbl 1413.05131
Zhang, Xia; Zhu, Yan
2016
Some class 1 graphs on $$g_c$$-colorings. Zbl 1348.05079
Ma, Hua Wen; Zhang, Xia
2016
A minimization problem with variable growth on Nehari manifold. Zbl 1361.46035
Zhang, Xia
2016
A delay-range-partition approach to analyse stability of linear systems with time-varying delays. Zbl 1346.93305
Xue, Y.; Zhang, X.; Han, Y. Y.; Shi, M.
2016
On injective hulls of $$S$$-posets. Zbl 1346.06010
Zhang, Xia; Laan, Valdis
2015
Quotients and subalgebras of sup-algebras. Zbl 1336.08005
Zhang, Xia; Laan, Valdis
2015
Improved coupling of finite element method with material point method based on a particle-to-surface contact algorithm. Zbl 1423.74870
Chen, Z. P.; Qiu, X. M.; Zhang, X.; Lian, Y. P.
2015
A mesh-grading material point method and its parallelization for problems with localized extreme deformation. Zbl 1423.74901
Lian, Y. P.; Yang, P. F.; Zhang, X.; Zhang, F.; Liu, Y.; Huang, P.
2015
Comment on “One-way deficit of two qubit X states”. Zbl 1333.81032
Jing, Naihuan; Zhang, Xia; Wang, Yao-Kun
2015
Injective hulls for posemigroups. Zbl 1332.06047
Zhang, Xia; Laan, Valdis
2014
Solutions for nonlinear elliptic equations with variable growth and degenerate coercivity. Zbl 1305.35063
Zhang, Xia; Fu, Yongqiang
2014
Stabilization of switched systems with polytopic uncertainties via composite quadratic functions. Zbl 1296.93155
Zhang, Xia; Gao, Yan; Xia, Zun-Quan
2014
$$f$$-class two graphs whose $$f$$-cores have maximum degree two. Zbl 1288.05106
Zhang, Xia; Yan, Gui Ying; Cai, Jian Sheng
2014
A coupled finite difference material point method and its application in explosion simulation. Zbl 1356.80062
Cui, X. X.; Zhang, X.; Zhou, X.; Liu, Y.; Zhang, F.
2014
On a certain type of nonlinear differential equations admitting transcendental meromorphic solutions. Zbl 1287.34077
Zhang, Xia; Liao, LiangWen
2013
On almost surely bounded semigroups of random linear operators. Zbl 1282.81099
Zhang, Xia; Liu, Ming
2013
A characterization of a pomonoid $$S$$ all of its cyclic $$S$$-posets are regular injective. Zbl 1371.06028
Zhang, Xia; Zhang, Wenling; Knauer, Ulrich
2013
Dynamical Casimir-polder force in a cavity comprising a dielectric with output coupling. Zbl 1295.81123
Yang, H.; Zheng, T. Y.; Shao, X. Q.; Zhang, X.; Pan, S. M.
2013
On Post’s and Markov’s examples of semigroups with unsolvable word problem. Zbl 1299.20062
Zhang, Xia; Jiang, Min
2013
A new simultaneous decomposition of a matrix quaternity over an arbitrary division ring with applications. Zbl 1252.15014
Wang, Qing-Wen; Zhang, Xia; Van Der Woude, J. W.
2012
On mean ergodic semigroups of random linear operators. Zbl 1250.47007
Zhang, Xia
2012
On conditional mean ergodic semigroups of random linear operators. Zbl 06224203
Zhang, Xia
2012
The mean ergodic theorem on random reflexive random normed modules. Zbl 1266.47024
Zhang, Xia; Guo, Tiexin
2012
Exponential stabilizability of switched systems with polytopic uncertainties. Zbl 1269.34069
Zhang, Xia; Xia, Zun-Quan; Gao, Yan
2012
Solutions of $$p(x)$$-Laplacian equations with critical exponent and perturbations in $$R^N$$. Zbl 1259.35098
Zhang, Xia; Fu, Yongqiang
2012
A FEMP method and its application in modeling dynamic response of reinforced concrete subjected to impact loading. Zbl 1228.74116
Lian, Y. P.; Zhang, X.; Zhou, X.; Ma, Z. T.
2011
Von Neumann’s mean ergodic theorem on complete random inner product modules. Zbl 1235.47015
Zhang, Xia; Guo, Tiexin
2011
Equitable edge-colorings of simple graphs. Zbl 1221.05168
Zhang, Xia; Liu, Guizhen
2011
New traveling wave solutions for a class of nonlinear evolution equations. Zbl 1218.35202
Bai, Cheng-Jie; Zhao, Hong; Xu, Heng-Ying; Zhang, Xia
2011
On edge covering colorings of graphs. Zbl 1260.68308
Zhang, Xia; Liu, Guizhen
2011
Multiple solutions for a class of $$p(x)$$-Laplacian equations in $${\mathbb R}^N$$ involving the critical exponent. Zbl 1189.35128
Fu, Yongqiang; Zhang, Xia
2010
The bijective soft set with its operations. Zbl 1205.03061
Gong, Ke; Xiao, Zhi; Zhang, Xia
2010
A new sufficient condition for graphs of $$f$$-class 1. Zbl 1249.05154
Zhang, Xia; Liu, Guizhen; Cai, Jiansheng; Hou, Jianfeng
2010
Multiple solutions for a class of $$p(x)$$-Laplacian equations involving the critical exponent. Zbl 1193.35056
Zhang, Xing; Zhang, Xia; Fu, Yongqiang
2010
Input/output selection in DEA under expert information, with application to financial markets. Zbl 1206.91019
Edirisinghe, N. C. P.; Zhang, X.
2010
On the fractional $$f$$-chromatic index of a graph. Zbl 1214.05034
Zhang, Xia; Yu, Jiguo; Liu, Guizhen
2010
Improved modification direction methods. Zbl 1198.94029
Kim, H. J.; Kim, C.; Choi, Y.; Wang, S.; Zhang, X.
2010
A multiplicity result for $$p(x)$$-Laplacian problem in $$\mathbb R^N$$. Zbl 1156.35363
Fu, Yongqiang; Zhang, Xia
2009
Edge-choosability of planar graphs without non-induced 5-cycles. Zbl 1189.05058
Cai, Jiansheng; Hou, Jianfeng; Zhang, Xia; Liu, Guizhen
2009
Equipment scheduling problem under disruptions in mail processing and distribution centres. Zbl 1171.90413
Zhang, X.; Chakravarthy, A.; Gu, Q.
2009
Solutions for a class of hemivariational inequalities with $$p(x)$$-Laplacian. Zbl 1170.35046
Zhang, Xia; Fu, Yongqiang
2009
$$f$$-colorings of some graphs of $$f$$-class 1. Zbl 1155.05029
Zhang, Xia; Liu, Guizhen
2008
Some graphs of class 1 for $$f$$-colorings. Zbl 1132.05026
Zhang, Xia; Liu, Guizhen
2008
The classification of regular graphs on $$f$$-colorings. Zbl 1224.05200
Zhang, Xia; Wang, Jihui; Liu, Guizhen
2008
Portfolio selection under DEA-based relative financial strength indicators: Case of US industries. Zbl 1153.90454
Edirisinghe, N. C. P.; Zhang, X.
2008
Classification of monoids by injectivities. I: C-injectivity. Zbl 1141.20042
Zhang, Xia; Knauer, Ulrich; Chen, Yuqun
2008
Regular injectivity of $$S$$-posets over Clifford pomonoids. Zbl 1199.06061
Zhang, Xia
2008
Classification of monoids by injectivities. II: CC-injectivity. Zbl 1141.20043
Zhang, Xia; Knauer, Ulrich; Chen, Yuqun
2008
Quantum dot-DNA interaction: Computational issues and preliminary insights on use of quantum dots as biosensors. Zbl 1162.92007
Anandampillai, S.; Zhang, X.; Sharma, P.; Lynch, Gillian C.; Franchek, M. A.; Larin, K. V.
2008
Clifford semigroups with genus zero. Zbl 1174.20328
Zhang, Xia
2008
Various notions of weak injectivity over Clifford semigroups. Zbl 1154.20057
Zhang, Xia; Knauer, Ulrich; Wang, Yanming
2008
A meshless, compositional approach to shape optimal design. Zbl 1173.74371
Zhang, X.; Rayasam, M.; Subbarayan, G.
2007
On homological classification of pomonoids by regular weak injectivity properties of $$S$$-posets. Zbl 1143.06007
Zhang, Xia; Laan, Valdis
2007
Unsteady simulations of the flow around a short surface-mounted cylinder. Zbl 1235.76085
Pattenden, R. J.; Bressloff, N. W.; Turnock, S. R.; Zhang, X.
2007
A simulated annealing and hill-climbing algorithm for the traveling tournament problem. Zbl 1103.90042
Lim, A.; Rodrigues, B.; Zhang, X.
2006
An atomistic and non-classical continuum field theoretic perspective of elastic interactions between defects (force dipoles) of various symmetries and application to graphene. Zbl 1120.74315
Zhang, X.; Jiao, K.; Sharma, P.; Yakobson, B. I.
2006
Global asymptotic stabilization of feedforward nonlinear systems with a delay in the input. Zbl 1120.93048
Zhang, X.; Gao, Hongyan; Zhang, C.
2006
Some sufficient conditions for a graph to be of $$C_f$$ 1. Zbl 1079.05034
Zhang, Xia; Liu, Guizhen
2006
Scheduling sports competitions at multiple venues – revisited. Zbl 1137.90504
Lim, A.; Rodrigues, B.; Zhang, X.
2006
Edge covering coloring of nearly bipartite graphs. Zbl 1114.05042
Wang, Jihui; Zhang, Xia; Liu, Guizhen
2006
Chain conditions on essential subacts. Zbl 1139.20060
Zhang, Xia; Chen, Yuqun; Wang, Yanming
2006
Functional properties of Cayley constructions. Zbl 1141.18003
Knauer, Ulrich; Wang, Yanming; Zhang, Xia
2006
Inclusions and inhomogeneities in strain gradient elasticity with couple stresses and related problems. Zbl 1119.74334
Zhang, X.; Sharma, P.
2005
Global stabilization of a class of time-delay nonlinear systems. Zbl 1121.93065
Zhang, X.; Cheng, Z.
2005
Meshless Galerkin least-squares method. Zbl 1143.74390
Pan, X. F.; Zhang, X.; Lu, M. W.
2005
The classification of complete graphs $$K_n$$ on $$f$$-coloring. Zbl 1080.05035
Zhang, Xia; Liu, Guizhen
2005
Time accurate numerical study of turbulent supersonic jets. Zbl 1236.76048
Rona, A.; Zhang, X.
2004
Impact of weak localization on wave dynamics: crossover from quasi-1D to slab geometry. Zbl 1092.81028
Zhang, Z. Q.; Cheung, S. K.; Zhang, X.; Chabanov, A. A.; Genack, A. Z.
2004
Experimental NMR realization of a generalized quantum search algorithm. Zbl 0969.81513
Long, G. L.; Yan, H. Y.; Li, Y. S.; Tu, C. C.; Tao, J. X.; Chen, H. M.; Liu, M. L.; Zhang, X.; Luo, J.; Xiao, L.; Zeng, X. Z.
2001
Geometry effects on flow transition in multilouvered fins – onset, propagation, and characteristic frequencies. Zbl 1091.76508
Tafti, D. K.; Zhang, X.
2001
Classification and effects of thermal wakes on heat transfer in multilouvered fins. Zbl 0983.76500
Zhang, X.; Tafti, D. K.
2001
An exact method for penny-shaped cracked homogeneous and composite cylinders. Zbl 1005.74056
Xie, Y. J.; Zhang, X.; Wang, X. H.
2001
An algorithm for solving the minimum-norm point problem over the intersection of a polytope and an affine set. Zbl 0986.90028
Fujishige, S.; Liu, Xiaojun; Zhang, X.
2000
3-D numerical analysis of natural convective liquid cooling of a $$3\times 3$$ heater array in rectangular enclosures. Zbl 0973.76610
Tou, S. K. W.; Tso, C. P.; Zhang, X.
1999
Coarse grain parallel finite element simulations for incompressible flows. Zbl 0923.76113
Grant, P. W.; Webster, M. F.; Zhang, X.
1998
...and 6 more Documents
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#### Cited by 804 Authors

 33 Zhang, Xia 19 Zhang, Binlin 13 Xiang, Mingqi 12 Rădulescu, Vicenţiu D. 11 Liu, Guizhen 9 Basaran, Osman A. 7 Liang, Sihua 7 Shi, Shaoyun 7 Zhang, Xianfu 6 He, ZhuoHeng 6 Song, Yueqiang 6 Wang, Qingwen 6 Zhang, Jihui 5 Alves, Claudianor Oliveira 5 Tsouli, Najib 4 Aouaoui, Sami 4 Lian, Yanping 4 Lin, Shih-Wei 4 Liu, Qingrong 4 Pepe, Pierdomenico 4 Subbarayan, Ganesh 4 Xia, Changchun 4 Zhang, Xiong 3 Afraimovich, L. G. 3 Ambravaneswaran, Balasubramanian 3 Cai, Jiansheng 3 Chen, Wenjing 3 Choi, Ho-Lim 3 Delfani, M. R. 3 Fan, Xianling 3 Fu, Yongqiang 3 Han, Shengwei 3 He, Xiaoming 3 Hssini, El Miloud 3 Ji, Chao 3 Kim, Hyun Jung 3 Laan, Valdis 3 Liang, Xingliang 3 Liu, Ming 3 Mahmoudi, Mojgan 3 Repovš, Dušan D. 3 Seo, Yu-Deok 3 Wu, Jian-Liang 3 Yan, Guiying 3 Youn, Sung-Kie 3 Yu, Vincent F. 3 Zhang, Chenghui 3 Zhao, Bin 2 Akram, Muhammad 2 Augarde, Charles Edward 2 Ayadi, Hocine 2 Baloch, A. 2 Baron, Luc 2 Benabdallah, Amel 2 Bhat, Pradeep P. 2 Binlin, Zhang 2 Boukas, El-Kébir 2 Charlton, Tim J. 2 Chen, Xiandong 2 Chen, Yuqun 2 Chen, Zhi-Long 2 Cheung, Kevin K. H. 2 Chou, Shuo-Yan 2 Coombs, William M. 2 Czap, Július 2 Davvaz, Bijan 2 Dodds, Shawn 2 Echi, Nadhem 2 Espino, José L. 2 Fang, Fei 2 Feng, Feng 2 Ferreira, Marcelo C. 2 Fujishige, Satoru 2 Ganghoffer, Jean-François 2 Gao, Xuliang 2 Garg, Vishrut 2 Ge, Bin 2 Giacomoni, Jacques 2 Gou, Haide 2 Guo, Lifeng 2 Guo, Peng 2 Haddaoui, Mustapha 2 Hamdani, Mohamed Karim 2 Hou, Jianfeng 2 Huang, Juntao 2 Iesan, Dorin 2 Jin, Wenliang 2 Jing, Yuanwei 2 Kamat, Pritish M. 2 Khosravi, Roghaieh 2 Kim, Yunho 2 Kumar, Satish 2 Laverón-Simavilla, Ana 2 Li, Baolin 2 Li, Peiluan 2 Li, Yanfang 2 Lim, Jong-Tae 2 Liu, Liang 2 Liu, Xianghu 2 Liu, Yan ...and 704 more Authors
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#### Cited in 166 Serials

 21 Computer Methods in Applied Mechanics and Engineering 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Journal of Mathematical Analysis and Applications 11 Computers & Mathematics with Applications 11 Applied Mathematics and Computation 9 Semigroup Forum 9 European Journal of Operational Research 9 Physics of Fluids 8 Acta Mechanica 8 European Journal of Mechanics. A. Solids 7 International Journal of Solids and Structures 7 Journal of Fluid Mechanics 7 Journal of Mathematical Physics 7 Engineering Analysis with Boundary Elements 7 Boundary Value Problems 7 Complex Variables and Elliptic Equations 6 International Journal of Heat and Mass Transfer 6 Acta Mathematica Sinica. English Series 5 Journal of the Mechanics and Physics of Solids 5 Applied Mathematical Modelling 5 Electronic Journal of Differential Equations (EJDE) 5 Nonlinear Analysis. Real World Applications 5 Mediterranean Journal of Mathematics 4 Discrete Applied Mathematics 4 Journal of Computational Physics 4 Algebra Universalis 4 Automatica 4 Systems & Control Letters 4 Graphs and Combinatorics 4 Computers & Operations Research 4 Fractals 4 Mathematics and Mechanics of Solids 4 Nonlinear Dynamics 4 Journal of Inequalities and Applications 4 Quantum Information Processing 4 Advances in Difference Equations 4 Advances in Nonlinear Analysis 3 Computers and Fluids 3 International Journal of Control 3 Mathematical Methods in the Applied Sciences 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematische Nachrichten 3 Annals of Operations Research 3 Automation and Remote Control 3 International Journal of Robust and Nonlinear Control 3 Journal of Applied Mathematics 3 Journal of Applied Mathematics and Computing 3 Nonlinear Analysis. Hybrid Systems 3 Journal of Nonlinear Science and Applications 3 Science China. Mathematics 3 Open Mathematics 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 Communications in Algebra 2 Discrete Mathematics 2 International Journal of Engineering Science 2 International Journal of Systems Science 2 Information Processing Letters 2 Journal of the Franklin Institute 2 Linear and Multilinear Algebra 2 Fuzzy Sets and Systems 2 International Journal for Numerical Methods in Engineering 2 Journal of Differential Equations 2 Manuscripta Mathematica 2 Acta Applicandae Mathematicae 2 Japan Journal of Industrial and Applied Mathematics 2 International Journal of Computer Mathematics 2 Journal of Elasticity 2 Journal of Non-Newtonian Fluid Mechanics 2 Calculus of Variations and Partial Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Theory and Applications of Categories 2 Discussiones Mathematicae. Graph Theory 2 Mathematical Problems in Engineering 2 Soft Computing 2 Journal of Combinatorial Optimization 2 European Journal of Mechanics. B. Fluids 2 Communications in Contemporary Mathematics 2 Nonlinear Analysis. Modelling and Control 2 Journal of Systems Science and Complexity 2 Sādhanā 2 Journal of Intelligent and Fuzzy Systems 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 International Journal of Computational Methods 2 Discrete Optimization 2 Advances in Mathematical Physics 2 Journal of Pseudo-Differential Operators and Applications 2 Afrika Matematika 1 Modern Physics Letters B 1 International Journal of Theoretical Physics 1 Lithuanian Mathematical Journal 1 Nonlinearity 1 Reviews of Modern Physics 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Shock Waves 1 Annales Polonici Mathematici 1 Czechoslovak Mathematical Journal ...and 66 more Serials
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#### Cited in 45 Fields

 129 Partial differential equations (35-XX) 75 Mechanics of deformable solids (74-XX) 57 Fluid mechanics (76-XX) 41 Systems theory; control (93-XX) 39 Combinatorics (05-XX) 35 Operations research, mathematical programming (90-XX) 29 Numerical analysis (65-XX) 23 Order, lattices, ordered algebraic structures (06-XX) 23 Operator theory (47-XX) 17 Group theory and generalizations (20-XX) 16 Functional analysis (46-XX) 12 Mathematical logic and foundations (03-XX) 12 Quantum theory (81-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Computer science (68-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Ordinary differential equations (34-XX) 7 Category theory; homological algebra (18-XX) 6 General algebraic systems (08-XX) 6 Real functions (26-XX) 6 Measure and integration (28-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Probability theory and stochastic processes (60-XX) 4 Associative rings and algebras (16-XX) 4 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Statistics (62-XX) 3 Optics, electromagnetic theory (78-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)