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Dong, Shihai

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 Author ID: dong.shihai Published as: Dong, S.; Dong, S.-H.; Dong, Shi-Hai; Dong, ShiHai; Dong, Shihai
 Documents Indexed: 158 Publications since 1997, including 2 Books
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Co-Authors

 17 single-authored 42 Sun, Guohua 17 Chen, Changyuan 15 Qiang, Wenchao 13 Lozada-Cassou, Marcelo 10 Ma, Zhongqi 10 You, Yuan 9 Dong, Shishan 9 Sun, Dongsheng 8 Dong, Qian 8 Lu, Falin 8 Wei, Gaofeng 5 Draayer, Jerry P. 5 García-Ravelo, Jesús 5 Gu, Xiaoyan 5 Serrano, F. A. 4 Camacho-Nieto, Oscar 4 Falaye, Babatunde James 4 Hou, Xiwen 4 Jing, Jian 4 Popov, Dušan 4 Yu, Jiang 3 Bezerra, Valdir B. 3 Cruz-Irisson, M. 3 Long, Zhengwen 3 Yáñez-Márquez, Cornelio 3 Yañez-Navarro, G. 2 Dytrych, Tomáš 2 Femmam, Smain 2 Gonzalez-Cisneros, A. 2 Lara-Rosano, Filipe 2 Launey, Kristina D. 2 Long, Chao-Yun 2 Mercado Sanchez, M. A. 2 Pan, Feng 2 Tahir, Farida 2 Tang, Yu 2 Torres-Arenas, Ariadna J. 2 Wang, Qing 1 Ahmadov, A. I. 1 Aoki, Manuel Ávila 1 Arjona L, Marco A. 1 Brandon, David 1 Castro López, R. 1 Chen, Wenli 1 Chen, Yisong 1 Child, Mark S. 1 de A. Marques, Geusa 1 Duan, Xiao-Yong 1 Enriquez, F. M. 1 Fang, Qin 1 Gatti, Fabien 1 He, Bing 1 Hernández-Márquez, Eduardo 1 Jiang, Yu 1 Jin, Jian 1 Laurel, Carlos Ortega 1 Lemus, Renato 1 Li, Wei 1 Ma, Yao-Yao 1 Mejía-García, C. 1 Miranda, S. G. 1 Pacheco-García, Christian 1 Peña, J. J. 1 Pop, Nicolina 1 Popov, Miodrag 1 Saad, Nasser 1 Sajfert, Vjekoslav 1 Shi, Yejiao 1 Silva-Ortigoza, Ramón 1 Şimon, Simona 1 Song, Xudong 1 Sun, Jianqiang 1 Taud, Hind 1 Wang, Guoping 1 Wang, Heng 1 Wang, Kang 1 Wang, Xiaogang 1 Wang, Xiaohua 1 Wang, Yue 1 Wu, Jingyang 1 Xie, Mi 1 Xu, Bowei 1 Yue, Weining 1 Zaharie, Ioan 1 Zhang, Aiping 1 Zhang, Lei 1 Zhang, Mincang 1 Zhang, Qiuyue 1 Zhang, Yufei
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Serials

 33 Physics Letters. A 22 Physica Scripta 11 International Journal of Theoretical Physics 10 Communications in Theoretical Physics 9 Modern Physics Letters A 8 Journal of Physics A: Mathematical and General 6 Annals of Physics 6 Advances in High Energy Physics 4 Journal of Mathematical Physics 3 International Journal of Modern Physics A 3 Applied Mathematics Letters 3 Journal of Mathematical Chemistry 3 Journal of Physics A: Mathematical and Theoretical 2 Modern Physics Letters B 2 International Journal of Quantum Information 2 Advances in Mathematical Physics 1 International Journal of Modern Physics B 1 Computers & Mathematics with Applications 1 Physica A 1 Physics Letters. B 1 Applied Mathematics and Computation 1 Journal of Computer Science and Technology 1 Annalen der Physik. 8th Series 1 Czechoslovak Journal of Physics 1 Journal of Software 1 Quantum Information Processing 1 American Journal of Physics 1 Fundamental Theories of Physics 1 Annalen der Physik
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Fields

 128 Quantum theory (81-XX) 18 Special functions (33-XX) 11 Partial differential equations (35-XX) 10 Ordinary differential equations (34-XX) 10 Information and communication theory, circuits (94-XX) 8 Statistical mechanics, structure of matter (82-XX) 5 Group theory and generalizations (20-XX) 5 Mechanics of particles and systems (70-XX) 4 Topological groups, Lie groups (22-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Computer science (68-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX)

Citations contained in zbMATH

122 Publications have been cited 1,023 times in 478 Documents Cited by Year
Factorization method in quantum mechanics. Zbl 1130.81001
Dong, Shi-Hai
2007
A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios. Zbl 1277.76118
Dong, S.; Shen, J.
2012
Series solutions of the Schrödinger equation with position-dependent mass for the Morse potential. Zbl 1118.81469
Yu, Jiang; Dong, Shi-Hai; Sun, Guo-Hua
2004
Analytical approximations to the solutions of the Manning-Rosen potential with centrifugal term. Zbl 1209.81107
Qiang, Wen-Chao; Dong, Shi-Hai
2007
Arbitrary $$l$$-state solutions of the rotating Morse potential through the exact quantization rule method. Zbl 1197.81128
Qiang, Wen-Chao; Dong, Shi-Hai
2007
On imposing dynamic contact-angle boundary conditions for wall-bounded liquid-gas flows. Zbl 1352.76119
Dong, S.
2012
An eigen-based high-order expansion basis for structured spectral elements. Zbl 1352.76087
Zheng, X.; Dong, S.
2011
Exact solutions of the two-dimensional Schrödinger equation with certain central potentials. Zbl 0985.81028
Dong, Shi-Hai
2000
Exact solutions of the Schrödinger equation with the position-dependent mass for a hard-core potential. Zbl 1136.81353
Dong, Shi-Hai; Lozada-Cassou, M.
2005
Exactly complete solutions of the Coulomb potential plus a new ring-shaped potential. Zbl 1123.81343
Chen, Chang-Yuan; Dong, Shi-Hai
2005
Direct numerical simulation of turbulent Taylor-Couette flow. Zbl 1141.76411
Dong, S.
2007
Exactly solvable potentials for the Schrödinger equation with spatially dependent mass. Zbl 1161.81353
Yu, Jiang; Dong, Shi-Hai
2004
Wave equations in higher dimensions. Zbl 1248.81003
Dong, Shi-Hai
2011
Approximately analytical solutions of the Manning-Rosen potential with the spin-orbit coupling term and spin symmetry. Zbl 1227.81174
Wei, Gao-Feng; Dong, Shi-Hai
2008
An outflow boundary condition and algorithm for incompressible two-phase flows with phase field approach. Zbl 1362.76060
Dong, S.
2014
An unconditionally stable rotational velocity-correction scheme for incompressible flows. Zbl 1425.76058
Dong, S.; Shen, J.
2010
The scattering of the Manning-Rosen potential with centrifugal term. Zbl 1220.81099
Wei, Gao-Feng; Long, Chao-Yun; Dong, Shi-Hai
2008
An efficient algorithm for incompressible $$N$$-phase flows. Zbl 1349.76196
Dong, S.
2014
Analytical approximations to the $$l$$-wave solutions of the Schrödinger equation with the Eckart potential. Zbl 1120.81024
Dong, Shi-Hai; Qiang, Wen-Chao; Sun, Guo-Hua; Bezerra, V. B.
2007
BDF-like methods for nonlinear dynamic analysis. Zbl 1307.74069
Dong, S.
2010
On the solutions of the Schrödiger equation with some anharmonic potentials: wave function ansatz. Zbl 1061.81509
Dong, Shi-Hai
2002
The series solutions of the non-relativistic equation with the Morse potential. Zbl 1073.81557
Dong, Shihai; Sun, Guohua
2003
Quantum states of a sextic potential: Hidden symmetry and quantum monodromy. Zbl 1009.81015
Child, Mark S.; Dong, Shi-Hai; Wang, Xiao-Gang
2000
Energy spectrum of the trigonometric Rosen-Morse potential using an improved quantization rule. Zbl 1209.81106
Ma, Zhong-Qi; Gonzalez-Cisneros, A.; Xu, Bo-Wei; Dong, Shi-Hai
2007
Exact solutions of the $$s$$-wave Schrödinger equation with Manning–Rosen potential. Zbl 1111.81044
Dong, Shi-Hai; García-Ravelo, J.
2007
Exact solutions and ladder operators for a new anharmonic oscillator. Zbl 1145.81354
Dong, Shi-Hai; Sun, Guo-Hua; Lozada-Cassou, M.
2005
The realization of dynamic group for the pseudoharmonic oscillator. Zbl 1042.81036
Dong, Shi-Hai
2003
Exactly complete solutions of the Schrödinger equation with a spherically harmonic oscillatory ring-shaped potential. Zbl 1235.81075
Zhang, Min-Cang; Sun, Guo-Hua; Dong, Shi-Hai
2010
The spin symmetry for deformed generalized Pöschl-Teller potential. Zbl 1231.81034
Wei, Gao-Feng; Dong, Shi-Hai
2009
Turbulent flow between counter-rotating concentric cylinders: a direct numerical simulation study. Zbl 1155.76035
Dong, S.
2008
Analytical approximations to the Schrödinger equation for a second Pöschl-Teller-like potential with centrifugal term. Zbl 1153.81485
Dong, Shi-Hai; Qiang, Wen-Chao; García-Ravelo, J.
2008
An algebraic approach to the ring-shaped non-spherical oscillator. Zbl 1134.81354
Dong, Shi-Hai; Sun, Guo-Hua; Lozada-Cassou, M.
2004
Analytical approximations to the l-wave solutions of the Klein-Gordon equation for a second Pöschl-Teller like potential. Zbl 1221.81057
Qiang, Wen-Chao; Dong, Shi-Hai
2008
Scattering of the Dirac particle by a Coulomb plus scalar potential in two dimensions. Zbl 1209.81179
Dong, Shi-Hai; Lozada-Cassou, M.
2004
The Dirac equation with a Coulomb potential in $$D$$ dimensions. Zbl 1039.81012
Dong, Shi-Hai
2003
Schrödinger equation with the potential $$V(r)=Ar^{-4}+Br^{-3}+Cr^{-2}+Dr^{-1}$$. Zbl 1061.81511
Dong, Shi-Hai
2001
Exact solutions to the Schrödinger equation for the potential $$V(r)= ar^2+ br^{-4}+ cr^{-6}$$ in two dimensions. Zbl 0930.34073
Dong, Shihai; Ma, Zhongqi
1998
A pressure correction scheme for generalized form of energy-stable open boundary conditions for incompressible flows. Zbl 1349.76198
Dong, S.; Shen, J.
2015
Direct numerical simulation of spiral turbulence. Zbl 1225.76172
Dong, S.; Zheng, X.
2011
Spin symmetry in the relativistic symmetrical well potential including a proper approximation to the spin-orbit coupling term. Zbl 1188.81187
Wei, Gao-Feng; Dong, Shi-Hai
2010
The improved quantization rule and the Langer modification. Zbl 1220.81147
Gu, Xiao-Yan; Dong, Shi-Hai
2008
Energy spectra of the hyperbolic and second Pöschl-Teller like potentials solved by new exact quantization rule. Zbl 1137.81009
Dong, Shi-Hai; Gonzalez-Cisneros, A.
2008
A new approach to the relativistic Schrödinger equation with central potential: ansatz method. Zbl 0979.81034
Dong, Shi-Hai
2001
Exact solutions to solitonic profile mass Schrödinger problem with a modified Pöschl-Teller potential. Zbl 1333.81138
Dong, Shishan; Fang, Qin; Falaye, B. J.; Sun, Guo-Hua; Yáñez-Márquez, C.; Dong, Shi-Hai
2016
Physical formulation and numerical algorithm for simulating $$N$$ immiscible incompressible fluids involving general order parameters. Zbl 1351.76234
Dong, S.
2015
A convective-like energy-stable open boundary condition for simulations of incompressible flows. Zbl 1349.76197
Dong, S.
2015
Qiang-Dong proper quantization rule and its applications to exactly solvable quantum systems. Zbl 1312.81076
Serrano, F. A.; Gu, Xiao-Yan; Dong, Shi-Hai
2010
Energy spectra for modified Rosen-Morse potential solved by the exact quantization rule. Zbl 1154.81335
Gu, Xiao-Yan; Dong, Shi-Hai; Ma, Zhong-Qi
2009
Arbitrary $$l$$-wave scattering state solutions of the Schrödinger equation for the Eckart potential. Zbl 1138.81530
Wei, Gao-Feng; Long, Chao-Yun; Duan, Xiao-Yong; Dong, Shi-Hai
2008
Analytical approximations to the $$l$$-wave solutions of the Schrödinger equation with an exponential-type potential. Zbl 1138.81382
Dong, Shishan; García-Ravelo, J.; Dong, Shi-Hai
2007
Exact solutions of the Klein–Gordon equation with scalar and vector ring-shaped potentials. Zbl 1117.81041
Dong, Shi-Hai; Lozada-Cassou, M.
2006
Exact solutions, ladder operators and Barut-Girardello coherent states for a harmonic oscillator plus an inverse square potential. Zbl 1079.81070
Dong, Shi-Hai; Lozada-Cassou, M.
2005
Harmonic functions for quadrilateral remeshing of arbitrary manifolds. Zbl 1205.65116
Dong, S.; Kircher, S.; Garland, M.
2005
Concentration of pulp fibers in 3D turbulent channel flow. Zbl 1136.76495
Dong, S.; Feng, X.; Salcudean, M.; Gartshore, I.
2003
Quantum monodromy in the spectrum of Schrödinger equation with a decatic potential. Zbl 0992.81015
Dong, Shi-Hai
2002
Wall-bounded multiphase flows of $$N$$ immiscible incompressible fluids: consistency and contact-angle boundary condition. Zbl 1415.76450
Dong, S.
2017
Quantum information entropies for a squared tangent potential well. Zbl 1396.81032
Dong, Shishan; Sun, Guo-Hua; Dong, Shi-Hai; Draayer, J. P.
2014
Energy spectrum of the Manning-Rosen potential including centrifugal term solved by exact and proper quantization rules. Zbl 1270.81078
Gu, Xiao-Yan; Dong, Shi-Hai
2011
The Manning-Rosen potential studied by a new approximate scheme to the centrifugal term. Zbl 1170.81512
Qiang, Wenchao; Dong, Shihai
2009
Radial position-momentum uncertainties for the Dirac hydrogen-like atoms. Zbl 1098.81093
Qiang, Wen-Chao; Dong, Shi-Hai
2006
Group theory approach to the Dirac equation with a Coulomb plus scalar potential in $$D+1$$ dimensions. Zbl 1062.81071
Dong, Shi-Hai; Sun, Guo-Hua; Popov, Dušan
2003
Exact solutions to the Dirac equation with a Coulomb potential in $$2+1$$ dimensions. Zbl 1035.81013
Dong, Shihai; Ma, Zhongqi
2003
Correlations of spin states for icosahedral double group. Zbl 0979.81045
Dong, Shihai; Hou, Xiwen; Ma, Zhongqi
2001
Multiphase flows of $$N$$ immiscible incompressible fluids: a reduction-consistent and thermodynamically-consistent formulation and associated algorithm. Zbl 1391.76804
Dong, S.
2018
Relativistic treatment of spinless particles subject to a rotating Deng-Fan oscillator. Zbl 1264.81192
Dong, Shi-Hai
2011
Solution of the Dirac equation with position-dependent mass in a Coulomb and scalar fields in a conical spacetime. Zbl 1277.35297
de A. Marques, Geusa; Bezerra, V. B.; Dong, Shi-Hai
2013
The relativistic bound and scattering states of the Eckart potential with a proper new approximate scheme for the centrifugal term. Zbl 1165.81326
Wei, Gao-Feng; Dong, Shi-Hai; Bezerra, V. B.
2009
Algebraic approach to the position-dependent mass Schrödinger equation for a singular oscillator. Zbl 1119.81056
Dong, Shi-Hai; Peña, J. J.; Pacheco-García, C.; García-Ravelo, J.
2007
The controllability of the pure states for the Morse potential with a dynamical group SU(1,1). Zbl 1161.81428
Dong, Shi-Hai; Lara-Rosano, F.; Sun, Guo-Hua
2004
The hidden symmetry for a quantum system with an infinitely deep square-well potential. Zbl 1219.81099
Dong, Shi-Hai; Ma, Zhong-Qi
2002
Fisher information for the position-dependent mass Schrödinger system. Zbl 1377.94016
Falaye, B. J.; Serrano, F. A.; Dong, Shi-Hai
2016
Exact solutions to a class of differential equation and some new mathematical properties for the universal associated-Legendre polynomials. Zbl 1326.34015
Chen, Chang-Yuan; Lu, Fa-Lin; Sun, Dong-Sheng; You, Yuan; Dong, Shi-Hai
2015
Quantum information entropies for position-dependent mass Schrödinger problem. Zbl 1343.81059
Yañez-Navarro, G.; Sun, Guo-Hua; Dytrych, T.; Launey, K. D.; Dong, Shi-Hai; Draayer, J. P.
2014
On some polynomial potentials in $$d$$-dimensions. Zbl 1284.81108
Brandon, David; Saad, Nasser; Dong, Shi-Hai
2013
An analytical approximations to the $$l$$-wave solutions of the Schrödinger equation with a hyperbolic potential. Zbl 1192.81126
Dong, Shishan; Miranda, S. G.; Enriquez, F. M.; Dong, Shi-Hai
2008
Generalized hypervirial and recurrence relations for radial matrix elements in arbitrary dimensions. Zbl 1101.81049
Dong, Shihai; Lozada-Cassou, M.
2005
Exact solutions of the Razavy cosine type potential. Zbl 1402.81129
Dong, Shishan; Dong, Qian; Sun, Guo-Hua; Femmam, S.; Dong, Shi-Hai
2018
JRSP of three-particle state via three tripartite GHZ class in quantum noisy channels. Zbl 1352.81017
Falaye, Babatunde James; Sun, Guo-Hua; Camacho-Nieto, Oscar; Dong, Shi-Hai
2016
Energy spectrum for a modified Rosen-Morse potential solved by proper quantization rule and its thermodynamic properties. Zbl 1309.81094
Dong, Shi-Hai; Cruz-Irisson, M.
2012
New type shift operators for circular well potential in two dimensions. Zbl 1238.81110
Sun, Guo-Hua; Dong, Shi-Hai
2010
Exact solutions of Dirac equation for a new spherically asymmetrical singular oscillator. Zbl 1202.81060
Sun, Guo-Hua; Dong, Shi-Hai
2010
SUSYQM and SWKB approaches to the relativistic equations with hyperbolic potential $$V_0\text{\,tanh}^2(\frac rd)$$. Zbl 1070.81512
Qiang, Wen-Chao; Dong, Shi-Hai
2005
Quantum features of semiconductor quantum dots. Zbl 1123.82381
Lozada-Cassou, M.; Dong, Shi-Hai; Yu, Jiang
2004
New findings for two new type sine hyperbolic potentials. Zbl 1428.82004
Dong, Qian; Sun, Guo-Hua; Jing, Jian; Dong, Shi-Hai
2019
Exact solutions of a quartic potential. Zbl 1421.81036
Dong, Qian; Sun, Guo-Hua; Aoki, M. Avila; Chen, Chang-Yuan; Dong, Shi-Hai
2019
Semiexact solutions of the Razavy potential. Zbl 1403.81012
Dong, Qian; Serrano, F. A.; Sun, Guo-Hua; Jing, Jian; Dong, Shi-Hai
2018
Concurrence of three Jaynes-Cummings systems. Zbl 1395.81046
Qiang, Wen-Chao; Sun, Guo-Hua; Dong, Qian; Camacho-Nieto, Oscar; Dong, Shi-Hai
2018
Information-theoretic measures for a solitonic profile mass Schrödinger equation with a squared hyperbolic cosecant potential. Zbl 1400.94101
Serrano, F. A.; Falaye, B. J.; Dong, Shi-Hai
2016
Spin-orbit interaction for the double ring-shaped oscillator. Zbl 1380.81492
Chen, Chang-Yuan; Lu, Fa-Lin; Sun, Dong-Sheng; You, Yuan; Dong, Shi-Hai
2016
On integrals involving universal associated Legendre polynomials and powers of the factor $$(1-x^2)$$ and their byproducts. Zbl 1375.33018
Sun, Dong-Sheng; You, Yuan; Lu, Fa-Lin; Chen, Chang-Yuan; Dong, Shi-Hai
2016
Universal associated Legendre polynomials and some useful definite integrals. Zbl 1345.33001
Chen, Chang-Yuan; You, Yuan; Lu, Fa-Lin; Sun, Dong-Sheng; Dong, Shi-Hai
2016
The arbitrary $$l$$ continuum states of the hyperbolic molecular potential. Zbl 1303.81081
Wei, Gao-Feng; Chen, Wen-Li; Dong, Shi-Hai
2014
Construction of the Barut-Girardello quasi coherent states for the Morse potential. Zbl 1343.81135
Popov, Dušan; Dong, Shi-Hai; Pop, Nicolina; Sajfert, Vjekoslav; Şimon, Simona
2013
Relativistic treatment of spinless particles subject to a Tietz-Wei oscillator. Zbl 1264.81193
Sun, Guo-Hua; Dong, Shi-Hai
2012
Proper quantization rule as a good candidate to semiclassical quantization rules. Zbl 1229.81094
Serrano, F. A.; Cruz-Irisson, M.; Dong, Shi-Hai
2011
New type shift operators for three-dimensional infinite well potential. Zbl 1209.81109
Sun, Guo-Hua; Dong, Shi-Hai
2011
Radial position-momentum uncertainties for Klein-Gordon hydrogen-like atoms. Zbl 1134.81361
Qiang, Wen-Chao; Dong, Shi-Hai
2008
An alternative approach to calculating the mean values $$\overline {r^k}$$ for hydrogen-like atoms. Zbl 1156.81509
Qiang, Wen-Chao; Dong, Shi-Hai
2004
The Schrödinger equation with a Coulomb plus inverse-square potential in $$D$$ dimensions. Zbl 1051.81007
Dong, Shi-Hai; Sun, Guo-Hua
2004
On the bound states of the Dirac equation with a Coulomb potential in $$2+1$$ dimensions. Zbl 1061.81510
Dong, Shi-Hai
2003
New findings for two new type sine hyperbolic potentials. Zbl 1428.82004
Dong, Qian; Sun, Guo-Hua; Jing, Jian; Dong, Shi-Hai
2019
Exact solutions of a quartic potential. Zbl 1421.81036
Dong, Qian; Sun, Guo-Hua; Aoki, M. Avila; Chen, Chang-Yuan; Dong, Shi-Hai
2019
Exact solutions of the sine hyperbolic type potential. Zbl 1422.81179
Dong, Qian; Torres-Arenas, Ariadna J.; Sun, Guo-Hua; Camacho-Nieto, O.; Femmam, Smain; Dong, Shi-Hai
2019
Multiphase flows of $$N$$ immiscible incompressible fluids: a reduction-consistent and thermodynamically-consistent formulation and associated algorithm. Zbl 1391.76804
Dong, S.
2018
Exact solutions of the Razavy cosine type potential. Zbl 1402.81129
Dong, Shishan; Dong, Qian; Sun, Guo-Hua; Femmam, S.; Dong, Shi-Hai
2018
Semiexact solutions of the Razavy potential. Zbl 1403.81012
Dong, Qian; Serrano, F. A.; Sun, Guo-Hua; Jing, Jian; Dong, Shi-Hai
2018
Concurrence of three Jaynes-Cummings systems. Zbl 1395.81046
Qiang, Wen-Chao; Sun, Guo-Hua; Dong, Qian; Camacho-Nieto, Oscar; Dong, Shi-Hai
2018
Constructions of the soluble potentials for the nonrelativistic quantum system by means of the Heun functions. Zbl 1404.81124
Dong, Shishan; Yáñez-Navarro, G.; Mercado Sanchez, M. A.; Mejía-García, C.; Sun, Guo-Hua; Dong, Shi-Hai
2018
Wall-bounded multiphase flows of $$N$$ immiscible incompressible fluids: consistency and contact-angle boundary condition. Zbl 1415.76450
Dong, S.
2017
The visualization of the space probability distribution for a moving particle: in a single ring-shaped Coulomb potential. Zbl 1375.81094
You, Yuan; Lu, Fa-Lin; Sun, Dong-Sheng; Chen, Chang-Yuan; Dong, Shi-Hai
2017
Ring-shaped potential and a class of relevant integrals involved universal associated Legendre polynomials with complicated arguments. Zbl 1366.33007
Li, Wei; Chen, Chang-Yuan; Dong, Shi-Hai
2017
Exact solutions to solitonic profile mass Schrödinger problem with a modified Pöschl-Teller potential. Zbl 1333.81138
Dong, Shishan; Fang, Qin; Falaye, B. J.; Sun, Guo-Hua; Yáñez-Márquez, C.; Dong, Shi-Hai
2016
Fisher information for the position-dependent mass Schrödinger system. Zbl 1377.94016
Falaye, B. J.; Serrano, F. A.; Dong, Shi-Hai
2016
JRSP of three-particle state via three tripartite GHZ class in quantum noisy channels. Zbl 1352.81017
Falaye, Babatunde James; Sun, Guo-Hua; Camacho-Nieto, Oscar; Dong, Shi-Hai
2016
Information-theoretic measures for a solitonic profile mass Schrödinger equation with a squared hyperbolic cosecant potential. Zbl 1400.94101
Serrano, F. A.; Falaye, B. J.; Dong, Shi-Hai
2016
Spin-orbit interaction for the double ring-shaped oscillator. Zbl 1380.81492
Chen, Chang-Yuan; Lu, Fa-Lin; Sun, Dong-Sheng; You, Yuan; Dong, Shi-Hai
2016
On integrals involving universal associated Legendre polynomials and powers of the factor $$(1-x^2)$$ and their byproducts. Zbl 1375.33018
Sun, Dong-Sheng; You, Yuan; Lu, Fa-Lin; Chen, Chang-Yuan; Dong, Shi-Hai
2016
Universal associated Legendre polynomials and some useful definite integrals. Zbl 1345.33001
Chen, Chang-Yuan; You, Yuan; Lu, Fa-Lin; Sun, Dong-Sheng; Dong, Shi-Hai
2016
Steganography on quantum pixel images using Shannon entropy. Zbl 1349.81073
Laurel, Carlos Ortega; Dong, Shi-Hai; Cruz-Irisson, M.
2016
A pressure correction scheme for generalized form of energy-stable open boundary conditions for incompressible flows. Zbl 1349.76198
Dong, S.; Shen, J.
2015
Physical formulation and numerical algorithm for simulating $$N$$ immiscible incompressible fluids involving general order parameters. Zbl 1351.76234
Dong, S.
2015
A convective-like energy-stable open boundary condition for simulations of incompressible flows. Zbl 1349.76197
Dong, S.
2015
Exact solutions to a class of differential equation and some new mathematical properties for the universal associated-Legendre polynomials. Zbl 1326.34015
Chen, Chang-Yuan; Lu, Fa-Lin; Sun, Dong-Sheng; You, Yuan; Dong, Shi-Hai
2015
Shannon information entropy for an infinite circular well. Zbl 1349.94109
Song, Xu-Dong; Sun, Guo-Hua; Dong, Shi-Hai
2015
An outflow boundary condition and algorithm for incompressible two-phase flows with phase field approach. Zbl 1362.76060
Dong, S.
2014
An efficient algorithm for incompressible $$N$$-phase flows. Zbl 1349.76196
Dong, S.
2014
Quantum information entropies for a squared tangent potential well. Zbl 1396.81032
Dong, Shishan; Sun, Guo-Hua; Dong, Shi-Hai; Draayer, J. P.
2014
Quantum information entropies for position-dependent mass Schrödinger problem. Zbl 1343.81059
Yañez-Navarro, G.; Sun, Guo-Hua; Dytrych, T.; Launey, K. D.; Dong, Shi-Hai; Draayer, J. P.
2014
The arbitrary $$l$$ continuum states of the hyperbolic molecular potential. Zbl 1303.81081
Wei, Gao-Feng; Chen, Wen-Li; Dong, Shi-Hai
2014
Solution of the Dirac equation with position-dependent mass in a Coulomb and scalar fields in a conical spacetime. Zbl 1277.35297
de A. Marques, Geusa; Bezerra, V. B.; Dong, Shi-Hai
2013
On some polynomial potentials in $$d$$-dimensions. Zbl 1284.81108
Brandon, David; Saad, Nasser; Dong, Shi-Hai
2013
Construction of the Barut-Girardello quasi coherent states for the Morse potential. Zbl 1343.81135
Popov, Dušan; Dong, Shi-Hai; Pop, Nicolina; Sajfert, Vjekoslav; Şimon, Simona
2013
Exact solutions of the Schrödinger equation with double ring-shaped oscillator. Zbl 1295.81049
Chen, Chang-Yuan; You, Yuan; Wang, Xiao-Hua; Dong, Shi-Hai
2013
Quantum information entropies of the eigenstates for a symmetrically trigonometric Rosen-Morse potential. Zbl 1268.81070
Sun, Guo-Hua; Dong, Shi-Hai
2013
A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios. Zbl 1277.76118
Dong, S.; Shen, J.
2012
On imposing dynamic contact-angle boundary conditions for wall-bounded liquid-gas flows. Zbl 1352.76119
Dong, S.
2012
Energy spectrum for a modified Rosen-Morse potential solved by proper quantization rule and its thermodynamic properties. Zbl 1309.81094
Dong, Shi-Hai; Cruz-Irisson, M.
2012
Relativistic treatment of spinless particles subject to a Tietz-Wei oscillator. Zbl 1264.81193
Sun, Guo-Hua; Dong, Shi-Hai
2012
Application of the Sturm-Liouville theorem and shape invariance formalism to the Dirac equation with hyperbolic like potential. Zbl 1278.81081
Wei, Gao-Feng; Sun, Guo-Hua; Dong, Shi-Hai
2012
Morse potential in the momentum representation. Zbl 1264.81194
Sun, Guo-Hua; Dong, Shi-Hai
2012
Interbasis expansions for isotropic harmonic oscillator. Zbl 1260.81069
Dong, Shi-Hai
2012
Real exact solutions to the relativistic spinless particle with modified Rosen-Morse potential and its symmetry. Zbl 1254.81100
Qiang, W.-C.; Sun, G.-H.; Dong, S.-H.
2012
An eigen-based high-order expansion basis for structured spectral elements. Zbl 1352.76087
Zheng, X.; Dong, S.
2011
Wave equations in higher dimensions. Zbl 1248.81003
Dong, Shi-Hai
2011
Direct numerical simulation of spiral turbulence. Zbl 1225.76172
Dong, S.; Zheng, X.
2011
Energy spectrum of the Manning-Rosen potential including centrifugal term solved by exact and proper quantization rules. Zbl 1270.81078
Gu, Xiao-Yan; Dong, Shi-Hai
2011
Relativistic treatment of spinless particles subject to a rotating Deng-Fan oscillator. Zbl 1264.81192
Dong, Shi-Hai
2011
Proper quantization rule as a good candidate to semiclassical quantization rules. Zbl 1229.81094
Serrano, F. A.; Cruz-Irisson, M.; Dong, Shi-Hai
2011
New type shift operators for three-dimensional infinite well potential. Zbl 1209.81109
Sun, Guo-Hua; Dong, Shi-Hai
2011
Scheme for teleportation of entangled states without Bell-state measurement by using one atom. Zbl 1221.81038
Qiang, Wen-Chao; Zhang, Lei; Zhang, Ai-Ping; Dong, Shi-Hai
2011
An unconditionally stable rotational velocity-correction scheme for incompressible flows. Zbl 1425.76058
Dong, S.; Shen, J.
2010
BDF-like methods for nonlinear dynamic analysis. Zbl 1307.74069
Dong, S.
2010
Exactly complete solutions of the Schrödinger equation with a spherically harmonic oscillatory ring-shaped potential. Zbl 1235.81075
Zhang, Min-Cang; Sun, Guo-Hua; Dong, Shi-Hai
2010
Spin symmetry in the relativistic symmetrical well potential including a proper approximation to the spin-orbit coupling term. Zbl 1188.81187
Wei, Gao-Feng; Dong, Shi-Hai
2010
Qiang-Dong proper quantization rule and its applications to exactly solvable quantum systems. Zbl 1312.81076
Serrano, F. A.; Gu, Xiao-Yan; Dong, Shi-Hai
2010
New type shift operators for circular well potential in two dimensions. Zbl 1238.81110
Sun, Guo-Hua; Dong, Shi-Hai
2010
Exact solutions of Dirac equation for a new spherically asymmetrical singular oscillator. Zbl 1202.81060
Sun, Guo-Hua; Dong, Shi-Hai
2010
The spin symmetry for deformed generalized Pöschl-Teller potential. Zbl 1231.81034
Wei, Gao-Feng; Dong, Shi-Hai
2009
Energy spectra for modified Rosen-Morse potential solved by the exact quantization rule. Zbl 1154.81335
Gu, Xiao-Yan; Dong, Shi-Hai; Ma, Zhong-Qi
2009
The Manning-Rosen potential studied by a new approximate scheme to the centrifugal term. Zbl 1170.81512
Qiang, Wenchao; Dong, Shihai
2009
The relativistic bound and scattering states of the Eckart potential with a proper new approximate scheme for the centrifugal term. Zbl 1165.81326
Wei, Gao-Feng; Dong, Shi-Hai; Bezerra, V. B.
2009
Approximately analytical solutions of the Manning-Rosen potential with the spin-orbit coupling term and spin symmetry. Zbl 1227.81174
Wei, Gao-Feng; Dong, Shi-Hai
2008
The scattering of the Manning-Rosen potential with centrifugal term. Zbl 1220.81099
Wei, Gao-Feng; Long, Chao-Yun; Dong, Shi-Hai
2008
Turbulent flow between counter-rotating concentric cylinders: a direct numerical simulation study. Zbl 1155.76035
Dong, S.
2008
Analytical approximations to the Schrödinger equation for a second Pöschl-Teller-like potential with centrifugal term. Zbl 1153.81485
Dong, Shi-Hai; Qiang, Wen-Chao; García-Ravelo, J.
2008
Analytical approximations to the l-wave solutions of the Klein-Gordon equation for a second Pöschl-Teller like potential. Zbl 1221.81057
Qiang, Wen-Chao; Dong, Shi-Hai
2008
The improved quantization rule and the Langer modification. Zbl 1220.81147
Gu, Xiao-Yan; Dong, Shi-Hai
2008
Energy spectra of the hyperbolic and second Pöschl-Teller like potentials solved by new exact quantization rule. Zbl 1137.81009
Dong, Shi-Hai; Gonzalez-Cisneros, A.
2008
Arbitrary $$l$$-wave scattering state solutions of the Schrödinger equation for the Eckart potential. Zbl 1138.81530
Wei, Gao-Feng; Long, Chao-Yun; Duan, Xiao-Yong; Dong, Shi-Hai
2008
An analytical approximations to the $$l$$-wave solutions of the Schrödinger equation with a hyperbolic potential. Zbl 1192.81126
Dong, Shishan; Miranda, S. G.; Enriquez, F. M.; Dong, Shi-Hai
2008
Radial position-momentum uncertainties for Klein-Gordon hydrogen-like atoms. Zbl 1134.81361
Qiang, Wen-Chao; Dong, Shi-Hai
2008
Factorization method in quantum mechanics. Zbl 1130.81001
Dong, Shi-Hai
2007
Analytical approximations to the solutions of the Manning-Rosen potential with centrifugal term. Zbl 1209.81107
Qiang, Wen-Chao; Dong, Shi-Hai
2007
Arbitrary $$l$$-state solutions of the rotating Morse potential through the exact quantization rule method. Zbl 1197.81128
Qiang, Wen-Chao; Dong, Shi-Hai
2007
Direct numerical simulation of turbulent Taylor-Couette flow. Zbl 1141.76411
Dong, S.
2007
Analytical approximations to the $$l$$-wave solutions of the Schrödinger equation with the Eckart potential. Zbl 1120.81024
Dong, Shi-Hai; Qiang, Wen-Chao; Sun, Guo-Hua; Bezerra, V. B.
2007
Energy spectrum of the trigonometric Rosen-Morse potential using an improved quantization rule. Zbl 1209.81106
Ma, Zhong-Qi; Gonzalez-Cisneros, A.; Xu, Bo-Wei; Dong, Shi-Hai
2007
Exact solutions of the $$s$$-wave Schrödinger equation with Manning–Rosen potential. Zbl 1111.81044
Dong, Shi-Hai; García-Ravelo, J.
2007
Analytical approximations to the $$l$$-wave solutions of the Schrödinger equation with an exponential-type potential. Zbl 1138.81382
Dong, Shishan; García-Ravelo, J.; Dong, Shi-Hai
2007
Algebraic approach to the position-dependent mass Schrödinger equation for a singular oscillator. Zbl 1119.81056
Dong, Shi-Hai; Peña, J. J.; Pacheco-García, C.; García-Ravelo, J.
2007
Exact solutions of the Klein–Gordon equation with scalar and vector ring-shaped potentials. Zbl 1117.81041
Dong, Shi-Hai; Lozada-Cassou, M.
2006
Radial position-momentum uncertainties for the Dirac hydrogen-like atoms. Zbl 1098.81093
Qiang, Wen-Chao; Dong, Shi-Hai
2006
Evaluation of matrix elements of $$r^{k}$$ and recurrence relations for the Klein–Gordon equation with a Coulomb field. Zbl 1117.81039
Chen, Chang-Yuan; Dong, Shi-Hai
2006
Algebraic approach to a harmonic oscillator plus an inverse squared potential and its recurrence relation. Zbl 1151.81327
Dong, Shishan; Dong, Shi-Hai; Lozada-Cassou, M.
2006
Exact solutions of the Schrödinger equation with the position-dependent mass for a hard-core potential. Zbl 1136.81353
Dong, Shi-Hai; Lozada-Cassou, M.
2005
Exactly complete solutions of the Coulomb potential plus a new ring-shaped potential. Zbl 1123.81343
Chen, Chang-Yuan; Dong, Shi-Hai
2005
Exact solutions and ladder operators for a new anharmonic oscillator. Zbl 1145.81354
Dong, Shi-Hai; Sun, Guo-Hua; Lozada-Cassou, M.
2005
Exact solutions, ladder operators and Barut-Girardello coherent states for a harmonic oscillator plus an inverse square potential. Zbl 1079.81070
Dong, Shi-Hai; Lozada-Cassou, M.
2005
Harmonic functions for quadrilateral remeshing of arbitrary manifolds. Zbl 1205.65116
Dong, S.; Kircher, S.; Garland, M.
2005
Generalized hypervirial and recurrence relations for radial matrix elements in arbitrary dimensions. Zbl 1101.81049
Dong, Shihai; Lozada-Cassou, M.
2005
SUSYQM and SWKB approaches to the relativistic equations with hyperbolic potential $$V_0\text{\,tanh}^2(\frac rd)$$. Zbl 1070.81512
Qiang, Wen-Chao; Dong, Shi-Hai
2005
Controllability of pure states for the Pöschl-Teller potential with a dynamical group SU(2). Zbl 1075.81022
Dong, Shi-Hai; Tang, Yu; Sun, Guo-Hua; Lara-Rosano, F.; Lozada-Cassou, M.
2005
Series solutions of the Schrödinger equation with position-dependent mass for the Morse potential. Zbl 1118.81469
Yu, Jiang; Dong, Shi-Hai; Sun, Guo-Hua
2004
Exactly solvable potentials for the Schrödinger equation with spatially dependent mass. Zbl 1161.81353
Yu, Jiang; Dong, Shi-Hai
2004
An algebraic approach to the ring-shaped non-spherical oscillator. Zbl 1134.81354
Dong, Shi-Hai; Sun, Guo-Hua; Lozada-Cassou, M.
2004
Scattering of the Dirac particle by a Coulomb plus scalar potential in two dimensions. Zbl 1209.81179
Dong, Shi-Hai; Lozada-Cassou, M.
2004
The controllability of the pure states for the Morse potential with a dynamical group SU(1,1). Zbl 1161.81428
Dong, Shi-Hai; Lara-Rosano, F.; Sun, Guo-Hua
2004
Quantum features of semiconductor quantum dots. Zbl 1123.82381
Lozada-Cassou, M.; Dong, Shi-Hai; Yu, Jiang
2004
An alternative approach to calculating the mean values $$\overline {r^k}$$ for hydrogen-like atoms. Zbl 1156.81509
Qiang, Wen-Chao; Dong, Shi-Hai
2004
The Schrödinger equation with a Coulomb plus inverse-square potential in $$D$$ dimensions. Zbl 1051.81007
Dong, Shi-Hai; Sun, Guo-Hua
2004
...and 22 more Documents
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Cited by 750 Authors

 42 Dong, Shihai 29 Sever, Ramazan 26 Hassanabadi, Hassan 19 Ikhdair, Sameer M. 18 Zarrinkamar, Saber 15 Sun, Guohua 11 Ikot, Akpan Ndem 10 Jia, Chunsheng 10 Rajabi, Ali Akbar 9 Dong, Suchuan 9 Hamzavi, Majid 9 Karniadakis, George Em 9 Wei, Gaofeng 8 Dong, Shunan 8 Maghsoodi, Elham 8 Oyewumi, Kayode John 8 Tezcan, Cevdet 7 Chen, Changyuan 7 Mustafa, Omar 6 Arda, Altuğ 6 Yang, Xiaofeng 6 Yang, Zhiguo 6 Zerarka, Abdelwahab 5 Dehesa, Jesús S. 5 Dong, Qian 5 Gu, Xiaoyan 5 Hall, Richard L. 5 Quesne, Christiane 5 Rahimov, H. 5 Saad, Nasser 5 Sen, K. D. 5 Shen, Jie 4 Ahmadov, A. I. 4 Aktaş, Metin 4 Alhaidari, Abdulaziz D. 4 de Castro, Antonio Soares 4 Dong, Shishan 4 Eshghi, Mahdi 4 Falaye, Babatunde James 4 Hassouni, S. 4 Lin, Ping 4 Liu, Xu-Yang 4 Mazharimousavi, S. Habib 4 Panahi, Hossein 4 Qiang, Wenchao 4 Saidi, Hanane 4 Setare, Mohammad Reza 4 Yeşiltaş, Özlem 4 Yi, Liangzhong 4 Zhang, Mincang 3 Akkerman, Ido 3 Antia, Akaninyene D. 3 Baek, Hyoungsu 3 Bagchi, Bijan Kumar 3 Bakke, Knut 3 Baradaran, Marzieh 3 Bazilevs, Yuri 3 Boztosun, Ismail 3 Brauckmann, Hannes J. 3 Das, Tapas Kumar 3 Eckhardt, Bruno 3 García-Ravelo, Jesús 3 Garcia, Martin G. 3 Guedes, I. 3 Guo, Zhenlin 3 Han, Daozhi 3 Havare, Ali 3 Hilger, Stefan 3 Huang-Fu, Guo-Qing 3 Li, Jinze 3 Lin, Lianlei 3 Lohse, Detlef 3 Long, Chao-Yun 3 Long, Zhengwen 3 Lowengrub, John Samuel 3 Lozada-Cassou, Marcelo 3 Lu, Falin 3 Oluwadare, Oluwatimilehin Joshua 3 Schulze-Halberg, Axel 3 Serrano, F. A. 3 Sun, Dongsheng 3 Türker Bayrak, Özlem 3 Verzicco, Roberto 3 You, Yuan 3 Yu, Haijun 3 Yu, Kaiping 3 Yu, Yue 3 Zhang, Chao 2 Aguiar, Victor H. 2 Aguirre, Miquel 2 Alberto, Pedro 2 Amir, Naila 2 Ardekani, Arezoo M. 2 Aydogdu, Oktay 2 Belich, Humberto 2 Berkdemir, Cüneyt 2 Bezerra, Valdir B. 2 Bittencourt, Marco Lúcio 2 Bonet, Javier 2 Boumedjane, Y. ...and 650 more Authors
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Cited in 94 Serials

 48 Journal of Computational Physics 45 Journal of Mathematical Physics 40 International Journal of Theoretical Physics 40 Advances in High Energy Physics 34 Journal of Mathematical Chemistry 21 Modern Physics Letters A 19 Physics Letters. A 16 International Journal of Modern Physics A 16 Journal of Fluid Mechanics 13 Applied Mathematics and Computation 11 Annals of Physics 10 Computer Methods in Applied Mechanics and Engineering 8 Computers and Fluids 6 Modern Physics Letters B 6 Journal of Scientific Computing 6 International Journal of Modern Physics C 6 Annalen der Physik 5 Journal of Computational and Applied Mathematics 5 Communications in Nonlinear Science and Numerical Simulation 5 Communications in Theoretical Physics 5 Advances in Mathematical Physics 4 Mathematical Methods in the Applied Sciences 4 Applied Mathematical Modelling 3 Astrophysics and Space Science 3 Computers & Mathematics with Applications 3 Theoretical and Mathematical Physics 3 Applied Mathematics Letters 3 Physics of Fluids 3 Foundations of Physics 3 Journal of Physics A: Mathematical and Theoretical 2 General Relativity and Gravitation 2 Physica A 2 Physics Reports 2 Computer Aided Geometric Design 2 Computational Mechanics 2 International Journal of Modern Physics D 2 Advances in Computational Mathematics 2 Engineering Analysis with Boundary Elements 2 Annalen der Physik. 8th Series 2 Czechoslovak Journal of Physics 2 International Journal of Geometric Methods in Modern Physics 2 Acta Mechanica Sinica 2 Arabian Journal for Science and Engineering 2 ISRN Mathematical Physics 2 ISRN High Energy Physics 1 International Journal of Modern Physics B 1 Acta Mechanica 1 European Journal of Physics 1 International Journal of Engineering Science 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Physics Letters. B 1 Computing 1 International Journal for Numerical Methods in Engineering 1 Journal of Approximation Theory 1 Journal of Pure and Applied Algebra 1 Mathematics and Computers in Simulation 1 Results in Mathematics 1 Physica D 1 ACM Transactions on Graphics 1 Constructive Approximation 1 Numerical Algorithms 1 SIAM Review 1 Computer Graphics Forum 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Continuum Mechanics and Thermodynamics 1 SIAM Journal on Scientific Computing 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Advances in Applied Clifford Algebras 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Complexity 1 Journal of Difference Equations and Applications 1 New Journal of Physics 1 European Journal of Mechanics. B. Fluids 1 Computational Geosciences 1 Engineering Computations 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Sādhanā 1 Communications on Pure and Applied Analysis 1 Quantum Information Processing 1 International Journal of Computational Methods 1 International Journal of Quantum Information 1 Advances in Difference Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Physical Review A, Third Series 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Journal of Theoretical Biology 1 Quantum Studies: Mathematics and Foundations 1 Control Theory and Technology 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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Cited in 38 Fields

 308 Quantum theory (81-XX) 109 Fluid mechanics (76-XX) 84 Numerical analysis (65-XX) 72 Partial differential equations (35-XX) 29 Special functions (33-XX) 24 Statistical mechanics, structure of matter (82-XX) 21 Mechanics of deformable solids (74-XX) 20 Ordinary differential equations (34-XX) 16 Relativity and gravitational theory (83-XX) 15 Information and communication theory, circuits (94-XX) 14 Mechanics of particles and systems (70-XX) 7 Approximations and expansions (41-XX) 7 Biology and other natural sciences (92-XX) 6 Nonassociative rings and algebras (17-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Topological groups, Lie groups (22-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Optics, electromagnetic theory (78-XX) 3 Real functions (26-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)