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## Tang, Tao

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 Author ID: tang.tao Published as: Tang, Tao; Tang, T.; Tang, tao Homepage: http://www.sustc.edu.cn/en/faculty_54/f/TANG_Tao External Links: MGP · Google Scholar
 Documents Indexed: 167 Publications since 1987, including 8 Books Reviewing Activity: 18 Reviews
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#### Co-Authors

 10 single-authored 13 Li, Ruo 12 Teng, Zhen-Huan 9 McKee, Sean 9 Zhou, Tao 8 Qiao, Zhonghua 8 Yang, Jiang 8 Zhang, Pingwen 7 Liu, Steve Wenbin 6 Ingham, Derek Binns 6 Wang, Jinghua 5 Diogo, Teresa 5 Li, Xianjuan 5 Tang, Huazhong 5 Zhang, Zhengru 4 Brunner, Hermann 4 Di, Yana 4 Ma, Heping 4 Shen, Jie 4 Xu, Chuanju 3 Chen, Yanping 3 Feng, Xinlong 3 Hu, Guanghui 3 Huang, Yunqing 3 Li, Ming 3 Li, Zhilin 3 Liao, HongLin 3 Tadmor, Eitan 3 Wang, Lilian 3 Xie, Hehu 3 Yuan, Li 3 Zhao, Yinchuan 2 Ali, Ishtiaq 2 Azarenok, Boris N. 2 Didenko, Victor D. 2 He, Xian Tu 2 Jiang, Song 2 Jumarhon, Bartur 2 Li, Dong 2 Morton, B. R. 2 Reeks, Michael W. 2 Shi, Zhongci 2 Shu, Chi-Wang 2 Sloan, David M. 2 Tan, Zhijun 2 Wang, Heyu 2 Xu, Kun 2 Xu, Xiang 2 Xue, Weimin 2 Yuan, Huifang 2 Yuan, Wei 2 Zhang, Jiwei 2 Zhang, Yubo 2 Zhao, Weidong 1 Bao, Weizhu 1 Cai, Huaxiang 1 Chan, Tony Fan-Cheong 1 Chen, Qiyuan 1 Chen, Zhiming 1 Cheng, Jin 1 Cheng, Shiu-Yuen 1 Cheng, Yuanzhen 1 Dong, Hao 1 Du, Junfeng 1 Du, Qiang 1 Fang, Wenhua 1 Fang, Zhiwei 1 Fok, Johnson C. M. 1 Fornberg, Bengt 1 Fu, Enzhong 1 Gong, Bo 1 Guo, Ben-Yu 1 Guo, Xiuyue 1 He, Yinnian 1 Hesthaven, Jan S. 1 Hou, Tianliang 1 Hu, Xianliang 1 Huang, Can 1 Huang, Jianguo 1 Huang, Weizhang 1 Huang, Yongmei 1 Ivanenko, Sergey Aleksandrovich 1 Kan, Yan-Xiang 1 Karageorghis, Andreas 1 Kurganov, Alexander 1 Lai, Junjiang 1 Lamb, Wilson 1 Li, Changpin 1 Li, Jichun 1 Li, Jinying 1 Lima, Pedro Miguel 1 Liu, Lixin 1 Liu, Yingjie 1 Liu, Yunxian 1 Liu, Zhuo 1 Luo, Fuesheng 1 Ma, Jingtang 1 Meng, Xucheng 1 Mishra, Siddhartha 1 Qu, Zhuolin 1 Sheng, Changtao ...and 26 more Co-Authors
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#### Serials

 16 Journal of Computational Physics 15 SIAM Journal on Numerical Analysis 14 Journal of Computational Mathematics 13 Journal of Scientific Computing 10 Communications in Computational Physics 9 SIAM Journal on Scientific Computing 6 Mathematics of Computation 6 Journal of Computational and Applied Mathematics 6 Applied Numerical Mathematics 4 Numerical Mathematics: Theory, Methods and Applications 3 Computers and Fluids 3 IMA Journal of Numerical Analysis 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Hyperbolic Differential Equations 2 Computers & Mathematics with Applications 2 Journal of Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Communications on Pure and Applied Analysis 2 Communications in Mathematical Sciences 2 Contemporary Mathematics 2 Frontiers of Mathematics in China 2 Science China. Mathematics 2 East Asian Journal on Applied Mathematics 1 IMA Journal of Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 Fasciculi Mathematici 1 Hokkaido Mathematical Journal 1 Numerische Mathematik 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Studies in Applied Mathematics 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Partial Differential Equations 1 Methods and Applications of Analysis 1 Advances in Computational Mathematics 1 Complexity 1 Mathematical Problems in Engineering 1 Journal of Liaoning Normal University. Natural Science Edition 1 Analysis in Theory and Applications 1 Springer Series in Computational Mathematics 1 Inverse Problems and Imaging 1 Communications in Mathematical Research 1 Mathematics Monograph Series 1 Annals of Applied Mathematics 1 Communications on Applied Mathematics and Computation
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#### Fields

 137 Numerical analysis (65-XX) 73 Partial differential equations (35-XX) 40 Fluid mechanics (76-XX) 27 Integral equations (45-XX) 10 General and overarching topics; collections (00-XX) 10 Ordinary differential equations (34-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of deformable solids (74-XX) 4 Real functions (26-XX) 3 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

134 Publications have been cited 3,289 times in 2,040 Documents Cited by Year
Spectral methods. Algorithms, analysis and applications. Zbl 1227.65117
Shen, Jie; Tang, Tao; Wang, Li-Lian
2011
Spectral and high-order methods with applications. Zbl 1234.65005
Shen, Jie; Tang, Tao
2006
Adaptive finite element approximation for distributed elliptic optimal control problems. Zbl 1034.49031
Li, Ruo; Liu, Wenbin; Ma, Heping; Tang, Tao
2002
Stability analysis of large time-stepping methods for epitaxial growth models. Zbl 1127.65069
Xu, Chuanju; Tang, Tao
2006
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel. Zbl 1207.65157
Chen, Yanping; Tang, Tao
2010
A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations. Zbl 0836.76060
Li, Ming; Tang, Tao; Fornberg, Bengt
1995
On spectral methods for Volterra integral equations and the convergence analysis. Zbl 1174.65058
Tang, Tao; Xu, Xiang; Cheng, Jin
2008
Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws. Zbl 1052.65079
Tang, Huazhong; Tang, Tao
2003
On large time-stepping methods for the Cahn-Hilliard equation. Zbl 1118.65109
He, Yinnian; Liu, Yunxian; Tang, Tao
2007
Moving mesh methods in multiple dimensions based on harmonic maps. Zbl 0986.65090
Li, Ruo; Tang, Tao; Zhang, Pingwen
2001
A finite difference scheme for partial integro-differential equations with a weakly singular kernel. Zbl 0768.65093
Tang, Tao
1993
Spectral methods for weakly singular Volterra integral equations with smooth solutions. Zbl 1186.65161
Chen, Yanping; Tang, Tao
2009
An adaptive time-stepping strategy for the molecular beam epitaxy models. Zbl 1234.35274
Qiao, Zhonghua; Zhang, Zhengru; Tang, Tao
2011
Boundary layer resolving pseudospectral methods for singular perturbation problems. Zbl 0851.65058
Tang, Tao; Trummer, Manfred R.
1996
The Hermite spectral method for Gaussian-type functions. Zbl 0782.65110
Tang, Tao
1993
A moving mesh finite element algorithm for singular problems in two and three space dimensions. Zbl 0998.65105
Li, Ruo; Tang, Tao; Zhang, Pingwen
2002
A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. Zbl 0765.65126
Tang, Tao
1993
Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200
Xie, Ziqing; Li, Xianjuan; Tang, Tao
2012
Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: Analysis of convergence. Zbl 0977.65069
Qiu, Y.; Sloan, D. M.; Tang, T.
2000
Spectral methods for pantograph-type differential and integral equations with multiple delays. Zbl 1396.65107
Ali, Ishtiaq; Brunner, Hermann; Tang, Tao
2009
A numerical investigation into the steady flow past a rotating circular cylinder at low and intermediate Reynolds numbers. Zbl 0687.76037
Ingham, D. B.; Tang, T.
1990
A spectral method for pantograph-type delay differential equations and its convergence analysis. Zbl 1212.65308
Ali, Ishtiaq; Brunner, Hermann; Tang, Tao
2009
Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations. Zbl 1346.35162
Li, Dong; Qiao, Zhonghua; Tang, Tao
2016
On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059
Shen, Jie; Tang, Tao; Yang, Jiang
2016
Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations. Zbl 0741.65110
Tang, Tao
1992
A posteriori error estimates for discontinuous Galerkin time-stepping method for optimal control problems governed by parabolic equations. Zbl 1085.65054
Liu, Wenbin; Ma, Heping; Tang, Tao; Yan, Ningning
2004
Collocation methods for second-kind Volterra integral equations with weakly singular kernels. Zbl 0807.65141
Diogo, Teresa; McKee, Sean; Tang, Tao
1994
Moving mesh finite element methods for the incompressible Navier-Stokes equations. Zbl 1115.76045
Di, Yana; Li, Ruo; Tang, Tao; Zhang, Pingwen
2005
Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations. Zbl 1379.65063
Hou, Tianliang; Tang, Tao; Yang, Jiang
2017
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111
Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang
2013
Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains. Zbl 1087.65097
Ma, Heping; Sun, Weiwei; Tang, Tao
2005
Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. Zbl 1302.65224
Feng, Xinlong; Tang, Tao; Yang, Jiang
2013
Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind. Zbl 1260.65111
Li, Xianjuan; Tang, Tao
2012
A Hermite-type collocation method for the solution of an integral equation with a certain weakly singular kernel. Zbl 0738.65096
Diogo, Teresa; McKee, Sean; Tang, Tao
1991
Combined Hermite spectral-finite difference method for the Fokker-Planck equation. Zbl 1007.65068
Fok, Johnson C. M.; Guo, Benyu; Tang, Tao
2002
A compact fourth-order finite difference scheme for unsteady viscous incompressible flows. Zbl 1172.76344
Li, Ming; Tang, Tao
2001
On steady flow past a rotating circular cylinder at Reynolds numbers 60 and 100. Zbl 0722.76089
Tang, T.; Ingham, D. B.
1991
A note on Jacobi spectral-collocation methods for weakly singular Volterra integral equations with smooth solutions. Zbl 1289.65284
Chen, Yanping; Li, Xianjuan; Tang, Tao
2013
Moving mesh methods with locally varying time steps. Zbl 1054.65099
Tan, Zhijun; Zhang, Zhengru; Huang, Yunqing; Tang, Tao
2004
Long time numerical simulations for phase-field problems using $$p$$-adaptive spectral deferred correction methods. Zbl 1327.65161
Feng, Xinlong; Tang, Tao; Yang, Jiang
2015
An Euler-type method for two-dimensional Volterra integral equations of the first kind. Zbl 0965.65143
McKee, Sean; Tang, Tao; Diogo, Teresa
2000
An adaptive mesh redistribution method for nonlinear Hamilton–Jacobi equations in two- and three-dimensions. Zbl 1037.65091
Tang, H.-Z.; Tang, Tao; Zhang, Pingwen
2003
Parallel in time algorithm with spectral-subdomain enhancement for Volterra integral equations. Zbl 1291.65382
Li, Xianjuan; Tang, Tao; Xu, Chuanju
2013
The sharpness of Kuznetsov’s $$O(\sqrt {\Delta x})$$ $$L^ 1$$-error estimate for monotone difference schemes. Zbl 0845.65053
Tang, Tao; Teng, Zhen-Huan
1995
A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226
Hu, Guanghui; Li, Ruo; Tang, Tao
2011
Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems. Zbl 1023.65115
Liu, Wenbin; Tang, Tao
2001
Convergence analysis for stochastic collocation methods to scalar hyperbolic equations with a random wave speed. Zbl 1364.65215
Tang, Tao; Zhou, Tao
2010
A multilevel successive iteration method for nonlinear elliptic problems. Zbl 1042.65101
Huang, Yunqing; Shi, Zhongci; Tang, Tao; Xue, Weimin
2004
Adaptive mesh redistribution method based on Godunov’s scheme. Zbl 1084.65089
Azarenok, Boris N.; Ivanenko, Sergey A.; Tang, Tao
2003
Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis. Zbl 0958.76080
Tang, Tao; Xu, Kun
1999
Second-order Godunov-type scheme for reactive flow calculations on moving meshes. Zbl 1087.76076
Azarenok, Boris N.; Tang, Tao
2005
A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows. Zbl 1195.76252
Di, Yana; Li, Ruo; Tang, Tao
2008
A gas-kinetic scheme for shallow-water equations with source terms. Zbl 1142.76457
Tang, Huazhong; Tang, Tao; Xu, Kun
2004
Polynomial spline collocation methods for the nonlinear Basset equation. Zbl 0687.65130
Brunner, H.; Tang, T.
1989
Implicit-explicit scheme for the Allen-Cahn equation preserves the maximum principle. Zbl 1374.65154
Tang, Tao; Yang, Jiang
2016
Viscosity methods for piecewise smooth solutions to scalar conservation laws. Zbl 0864.65060
Tang, Tao; Teng, Zhen-huan
1997
A finite difference scheme for solving the nonlinear Poisson-Boltzmann equation modeling charged spheres. Zbl 1105.78015
Qiao, Zhonghua; Li, Zhilin; Tang, Tao
2006
Numerical solutions for weakly singular Volterra integral equations using Chebyshev and Legendre pseudo-spectral Galerkin methods. Zbl 1346.65078
Li, Xianjuan; Tang, Tao; Xu, Chuanju
2016
On discrete least-squares projection in unbounded domain with random evaluations and its application to parametric uncertainty quantification. Zbl 1305.41008
Tang, Tao; Zhou, Tao
2014
Product integration methods for an integral equation with logarithmic singular kernel. Zbl 0749.65099
Tang, Tao; McKee, Sean; Diogo, Teresa
1992
Error bounds for fractional step methods for conservation laws with source terms. Zbl 0860.65087
Tang, Tao; Teng, Zhen-Huan
1995
An adaptive mesh redistribution algorithm for convection-dominated problems. Zbl 1008.65091
Zhang, Zheng-Ru; Tang, Tao
2002
Efficient computation of dendritic growth with $$r$$-adaptive finite element methods. Zbl 1148.65052
Wang, Heyu; Li, Ruo; Tang, Tao
2008
Pointwise error estimates for relaxation approximations to conservation laws. Zbl 0979.35098
2000
Supergeometric convergence of a spectral collocation method for weakly singular Volterra and Fredholm integral equations with smooth solutions. Zbl 1265.65269
Huang, Can; Tang, Tao; Zhang, Zhimin
2011
On energy dissipation theory and numerical stability for time-fractional phase-field equations. Zbl 1435.65146
Tang, Tao; Yu, Haijun; Zhou, Tao
2019
A Volterra integral type method for solving a class of nonlinear initial-boundary value problems. Zbl 0858.65138
Jumarhon, Bartur; Lamb, Wilson; McKee, Sean; Tang, Tao
1996
Steady viscous flow in a triangular cavity by efficient numerical techniques. Zbl 0855.76044
Li, M.; Tang, T.
1996
A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids. Zbl 1329.76261
Hu, Guanghui; Li, Ruo; Tang, Tao
2010
Deferred correction methods for forward backward stochastic differential equations. Zbl 1389.60083
Tang, Tao; Zhao, Weidong; Zhou, Tao
2017
Error analysis of a mixed finite element method for the molecular beam epitaxy model. Zbl 1327.35152
Qiao, Zhonghua; Tang, Tao; Xie, Hehu
2015
Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038
Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao
2015
The numerical analysis of implicit Runge-Kutta methods for a certain nonlinear integro-differential equation. Zbl 0687.65129
Yuan, Wei; Tang, Tao
1990
A spectral method for the numerical solutions of a kinetic equation describing the dispersion of small particles in a turbulent flow. Zbl 0763.76064
Tang, Tao; McKee, S.; Reeks, M. W.
1992
The numerical computation of connecting orbits in dynamical systems: A rational spectral approach. Zbl 0797.65055
Liu, Yingjie; Liu, Lixin; Tang, Tao
1994
Moving mesh discontinuous Galerkin method for hyperbolic conservation laws. Zbl 1115.65102
Li, Ruo; Tang, Tao
2006
A fast high order method for electromagnetic scattering by large open cavities. Zbl 1249.78020
Zhao, Meiling; Qiao, Zhonghua; Tang, Tao
2011
Accuracy enhancement using spectral postprocessing for differential equations and integral equations. Zbl 1364.65153
Tang, Tao; Xu, Xiang
2009
Gradient bounds for a thin film epitaxy equation. Zbl 1364.35115
Li, Dong; Qiao, Zhonghua; Tang, Tao
2017
Pointwise error estimates for scalar conservation laws with piecewise smooth solutions. Zbl 0934.35088
1999
Numerical challenges for resolving spike dynamics for two one-dimensional reaction-diffusion systems. Zbl 1141.35389
Sun, Wentao; Tang, Tao; Ward, Michael J.; Wei, Juncheng
2003
Parameter-free time adaptivity based on energy evolution for the Cahn-Hilliard equation. Zbl 1388.65060
Luo, Fuesheng; Tang, Tao; Xie, Hehu
2016
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. Zbl 1440.65116
Liao, Hong-lin; Tang, Tao; Zhou, Tao
2020
Steady two-dimensional flow through a row of normal flat plates. Zbl 0686.76018
Ingham, D. B.; Tang, T.; Morton, B. R.
1990
Convergence analysis for operator-splitting methods applied to conservation laws with stiff source terms. Zbl 0921.35103
Tang, Tao
1998
A fast numerical method for integral equations of the first kind with logarithmic kernel using mesh grading. Zbl 1048.65120
Chen, Qiyuan; Tang, Tao; Teng, Zhenhuan
2004
A simple moving mesh method for one- and two-dimensional phase-field equations. Zbl 1087.65089
Tan, Zhijun; Tang, Tao; Zhang, Zhengru
2006
Level set calculations for incompressible two-phase flows on a dynamically adaptive grid. Zbl 1151.76548
Di, Yana; Li, Ruo; Tang, Tao; Zhang, Pingwen
2007
Resolving the shock-induced combustion by an adaptive mesh redistribution method. Zbl 1121.80001
Yuan, Li; Tang, Tao
2007
Simulating two-phase viscoelastic flows using moving finite element methods. Zbl 1364.76103
Zhang, Yubo; Wang, Heyu; Tang, Tao
2010
Galerkin methods for stochastic hyperbolic problems using bi-orthogonal polynomials. Zbl 1262.65014
Zhou, Tao; Tang, Tao
2012
A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries. Zbl 0892.76064
Karageorghis, Andreas; Tang, Tao
1996
Fractional rate of convergence for viscous approximation to nonconvex conservation laws. Zbl 1039.35062
Tang, Tao; Teng, Zhen-Huan; Xin, Zhouping
2003
A multi-mesh adaptive finite element approximation to phase field models. Zbl 1364.65196
Hu, Xianliang; Li, Ruo; Tang, Tao
2009
Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains. Zbl 1447.65161
Tang, Tao; Wang, Li-Lian; Yuan, Huifang; Zhou, Tao
2020
On energy stable, maximum-principle preserving, second-order BDF scheme with variable steps for the Allen-Cahn equation. Zbl 1447.65083
Liao, Hong-lin; Tang, Tao; Zhou, Tao
2020
Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains. Zbl 1450.65154
Sheng, Changtao; Shen, Jie; Tang, Tao; Wang, Li-Lian; Yuan, Huifang
2020
Moving mesh methods for singular problems on a sphere using perturbed harmonic mappings. Zbl 1123.65101
Di, Yana; Li, Ruo; Tang, Tao; Zhang, Pingwen
2006
Analysis of moving mesh methods based on geometrical variables. Zbl 0976.65088
Tang, Tao; Xue, Wei-min; Zhang, Pingwen
2001
Regularity and global structure of solutions to Hamilton-Jacobi equations I. Convex Hamiltonians. Zbl 1172.35012
Zhao, Yinchuan; Tang, Tao; Wang, Jinghua
2008
Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection. Zbl 1467.74092
Liao, Hong-Lin; Song, Xuehua; Tang, Tao; Zhou, Tao
2021
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. Zbl 1440.65116
Liao, Hong-lin; Tang, Tao; Zhou, Tao
2020
Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains. Zbl 1447.65161
Tang, Tao; Wang, Li-Lian; Yuan, Huifang; Zhou, Tao
2020
On energy stable, maximum-principle preserving, second-order BDF scheme with variable steps for the Allen-Cahn equation. Zbl 1447.65083
Liao, Hong-lin; Tang, Tao; Zhou, Tao
2020
Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains. Zbl 1450.65154
Sheng, Changtao; Shen, Jie; Tang, Tao; Wang, Li-Lian; Yuan, Huifang
2020
On energy dissipation theory and numerical stability for time-fractional phase-field equations. Zbl 1435.65146
Tang, Tao; Yu, Haijun; Zhou, Tao
2019
Efficient stochastic Galerkin methods for Maxwell’s equations with random inputs. Zbl 1416.78025
Fang, Zhiwei; Li, Jichun; Tang, Tao; Zhou, Tao
2019
Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations. Zbl 1379.65063
Hou, Tianliang; Tang, Tao; Yang, Jiang
2017
Deferred correction methods for forward backward stochastic differential equations. Zbl 1389.60083
Tang, Tao; Zhao, Weidong; Zhou, Tao
2017
Gradient bounds for a thin film epitaxy equation. Zbl 1364.35115
Li, Dong; Qiao, Zhonghua; Tang, Tao
2017
An efficient gradient projection method for stochastic optimal control problems. Zbl 1386.60239
Gong, Bo; Liu, Wenbin; Tang, Tao; Zhao, Weidong; Zhou, Tao
2017
Blow-up of Volterra integro-differential equations and applications to semi-linear Volterra diffusion equations. Zbl 1399.35103
Yang, Zhanwen; Tang, Tao; Zhang, Jiwei
2017
Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations. Zbl 1346.35162
Li, Dong; Qiao, Zhonghua; Tang, Tao
2016
On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059
Shen, Jie; Tang, Tao; Yang, Jiang
2016
Implicit-explicit scheme for the Allen-Cahn equation preserves the maximum principle. Zbl 1374.65154
Tang, Tao; Yang, Jiang
2016
Numerical solutions for weakly singular Volterra integral equations using Chebyshev and Legendre pseudo-spectral Galerkin methods. Zbl 1346.65078
Li, Xianjuan; Tang, Tao; Xu, Chuanju
2016
Parameter-free time adaptivity based on energy evolution for the Cahn-Hilliard equation. Zbl 1388.65060
Luo, Fuesheng; Tang, Tao; Xie, Hehu
2016
Numerical blow-up of nonlinear parabolic integro-differential equations on unbounded domain. Zbl 1352.65651
Brunner, Hermann; Tang, Tao; Zhang, Jiwei
2016
Long time numerical simulations for phase-field problems using $$p$$-adaptive spectral deferred correction methods. Zbl 1327.65161
Feng, Xinlong; Tang, Tao; Yang, Jiang
2015
Error analysis of a mixed finite element method for the molecular beam epitaxy model. Zbl 1327.35152
Qiao, Zhonghua; Tang, Tao; Xie, Hehu
2015
Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038
Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao
2015
Iterative learning control with extended state observer for telescope system. Zbl 1394.93103
Cai, Huaxiang; Huang, Yongmei; Du, Junfeng; Tang, Tao; Zuo, Dan; Li, Jinying
2015
On discrete least-squares projection in unbounded domain with random evaluations and its application to parametric uncertainty quantification. Zbl 1305.41008
Tang, Tao; Zhou, Tao
2014
Adaptive moving grid methods for two-phase flow in porous media. Zbl 1293.76099
Dong, Hao; Qiao, Zhonghua; Sun, Shuyu; Tang, Tao
2014
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111
Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang
2013
Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. Zbl 1302.65224
Feng, Xinlong; Tang, Tao; Yang, Jiang
2013
A note on Jacobi spectral-collocation methods for weakly singular Volterra integral equations with smooth solutions. Zbl 1289.65284
Chen, Yanping; Li, Xianjuan; Tang, Tao
2013
Parallel in time algorithm with spectral-subdomain enhancement for Volterra integral equations. Zbl 1291.65382
Li, Xianjuan; Tang, Tao; Xu, Chuanju
2013
An adaptive time stepping method with efficient error control for second-order evolution problems. Zbl 1304.65167
Huang, Jianguo; Lai, Junjiang; Tang, Tao
2013
High-order convergence of spectral deferred correction methods on general quadrature nodes. Zbl 1277.65062
Tang, Tao; Xie, Hehu; Yin, Xiaobo
2013
Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200
Xie, Ziqing; Li, Xianjuan; Tang, Tao
2012
Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind. Zbl 1260.65111
Li, Xianjuan; Tang, Tao
2012
Galerkin methods for stochastic hyperbolic problems using bi-orthogonal polynomials. Zbl 1262.65014
Zhou, Tao; Tang, Tao
2012
Convergence analysis for spectral approximation to a scalar transport equation with a random wave speed. Zbl 1289.65012
Zhou, Tao; Tang, Tao
2012
Spectral methods. Algorithms, analysis and applications. Zbl 1227.65117
Shen, Jie; Tang, Tao; Wang, Li-Lian
2011
An adaptive time-stepping strategy for the molecular beam epitaxy models. Zbl 1234.35274
Qiao, Zhonghua; Zhang, Zhengru; Tang, Tao
2011
A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226
Hu, Guanghui; Li, Ruo; Tang, Tao
2011
Supergeometric convergence of a spectral collocation method for weakly singular Volterra and Fredholm integral equations with smooth solutions. Zbl 1265.65269
Huang, Can; Tang, Tao; Zhang, Zhimin
2011
A fast high order method for electromagnetic scattering by large open cavities. Zbl 1249.78020
Zhao, Meiling; Qiao, Zhonghua; Tang, Tao
2011
Simulating three-dimensional free surface viscoelastic flows using moving finite difference schemes. Zbl 1249.76064
Zhang, Yubo; Tang, Tao
2011
A speed-up strategy for finite volume WENO schemes for hyperbolic conservation laws. Zbl 1270.76043
Teng, Fei; Yuan, Li; Tang, Tao
2011
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel. Zbl 1207.65157
Chen, Yanping; Tang, Tao
2010
Convergence analysis for stochastic collocation methods to scalar hyperbolic equations with a random wave speed. Zbl 1364.65215
Tang, Tao; Zhou, Tao
2010
A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids. Zbl 1329.76261
Hu, Guanghui; Li, Ruo; Tang, Tao
2010
Simulating two-phase viscoelastic flows using moving finite element methods. Zbl 1364.76103
Zhang, Yubo; Wang, Heyu; Tang, Tao
2010
Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations. Zbl 1205.65026
Zhou, Tao; Tang, Tao
2010
Spectral methods for weakly singular Volterra integral equations with smooth solutions. Zbl 1186.65161
Chen, Yanping; Tang, Tao
2009
Spectral methods for pantograph-type differential and integral equations with multiple delays. Zbl 1396.65107
Ali, Ishtiaq; Brunner, Hermann; Tang, Tao
2009
A spectral method for pantograph-type delay differential equations and its convergence analysis. Zbl 1212.65308
Ali, Ishtiaq; Brunner, Hermann; Tang, Tao
2009
Accuracy enhancement using spectral postprocessing for differential equations and integral equations. Zbl 1364.65153
Tang, Tao; Xu, Xiang
2009
A multi-mesh adaptive finite element approximation to phase field models. Zbl 1364.65196
Hu, Xianliang; Li, Ruo; Tang, Tao
2009
On spectral methods for Volterra integral equations and the convergence analysis. Zbl 1174.65058
Tang, Tao; Xu, Xiang; Cheng, Jin
2008
A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows. Zbl 1195.76252
Di, Yana; Li, Ruo; Tang, Tao
2008
Efficient computation of dendritic growth with $$r$$-adaptive finite element methods. Zbl 1148.65052
Wang, Heyu; Li, Ruo; Tang, Tao
2008
Regularity and global structure of solutions to Hamilton-Jacobi equations I. Convex Hamiltonians. Zbl 1172.35012
Zhao, Yinchuan; Tang, Tao; Wang, Jinghua
2008
Error analysis for a fast numerical method to a boundary integral equation of the first kind. Zbl 1174.65053
Ma, Jingtang; Tang, Tao
2008
On large time-stepping methods for the Cahn-Hilliard equation. Zbl 1118.65109
He, Yinnian; Liu, Yunxian; Tang, Tao
2007
Level set calculations for incompressible two-phase flows on a dynamically adaptive grid. Zbl 1151.76548
Di, Yana; Li, Ruo; Tang, Tao; Zhang, Pingwen
2007
Resolving the shock-induced combustion by an adaptive mesh redistribution method. Zbl 1121.80001
Yuan, Li; Tang, Tao
2007
On the piecewise smoothness of entropy solutions to scalar conversation laws for a larger class of initial data. Zbl 1155.35060
Tang, Tao; Wang, Jinghua; Zhao, Yinchuan
2007
Spectral and high-order methods with applications. Zbl 1234.65005
Shen, Jie; Tang, Tao
2006
Stability analysis of large time-stepping methods for epitaxial growth models. Zbl 1127.65069
Xu, Chuanju; Tang, Tao
2006
A finite difference scheme for solving the nonlinear Poisson-Boltzmann equation modeling charged spheres. Zbl 1105.78015
Qiao, Zhonghua; Li, Zhilin; Tang, Tao
2006
Moving mesh discontinuous Galerkin method for hyperbolic conservation laws. Zbl 1115.65102
Li, Ruo; Tang, Tao
2006
A simple moving mesh method for one- and two-dimensional phase-field equations. Zbl 1087.65089
Tan, Zhijun; Tang, Tao; Zhang, Zhengru
2006
Moving mesh methods for singular problems on a sphere using perturbed harmonic mappings. Zbl 1123.65101
Di, Yana; Li, Ruo; Tang, Tao; Zhang, Pingwen
2006
Moving mesh finite element methods for the incompressible Navier-Stokes equations. Zbl 1115.76045
Di, Yana; Li, Ruo; Tang, Tao; Zhang, Pingwen
2005
Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains. Zbl 1087.65097
Ma, Heping; Sun, Weiwei; Tang, Tao
2005
Second-order Godunov-type scheme for reactive flow calculations on moving meshes. Zbl 1087.76076
Azarenok, Boris N.; Tang, Tao
2005
A new parallel strategy for two-dimensional incompressible flow simulations using pseudo-spectral methods. Zbl 1154.76361
Yin, Z.; Yuan, Li; Tang, Tao
2005
A posteriori error estimates for discontinuous Galerkin time-stepping method for optimal control problems governed by parabolic equations. Zbl 1085.65054
Liu, Wenbin; Ma, Heping; Tang, Tao; Yan, Ningning
2004
Moving mesh methods with locally varying time steps. Zbl 1054.65099
Tan, Zhijun; Zhang, Zhengru; Huang, Yunqing; Tang, Tao
2004
A multilevel successive iteration method for nonlinear elliptic problems. Zbl 1042.65101
Huang, Yunqing; Shi, Zhongci; Tang, Tao; Xue, Weimin
2004
A gas-kinetic scheme for shallow-water equations with source terms. Zbl 1142.76457
Tang, Huazhong; Tang, Tao; Xu, Kun
2004
A fast numerical method for integral equations of the first kind with logarithmic kernel using mesh grading. Zbl 1048.65120
Chen, Qiyuan; Tang, Tao; Teng, Zhenhuan
2004
Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws. Zbl 1052.65079
Tang, Huazhong; Tang, Tao
2003
An adaptive mesh redistribution method for nonlinear Hamilton–Jacobi equations in two- and three-dimensions. Zbl 1037.65091
Tang, H.-Z.; Tang, Tao; Zhang, Pingwen
2003
Adaptive mesh redistribution method based on Godunov’s scheme. Zbl 1084.65089
Azarenok, Boris N.; Ivanenko, Sergey A.; Tang, Tao
2003
Numerical challenges for resolving spike dynamics for two one-dimensional reaction-diffusion systems. Zbl 1141.35389
Sun, Wentao; Tang, Tao; Ward, Michael J.; Wei, Juncheng
2003
Fractional rate of convergence for viscous approximation to nonconvex conservation laws. Zbl 1039.35062
Tang, Tao; Teng, Zhen-Huan; Xin, Zhouping
2003
Multi-dimensional moving mesh methods for shock computations. Zbl 1034.76037
Tang, Huazhong; Tang, Tao
2003
Adaptive finite element approximation for distributed elliptic optimal control problems. Zbl 1034.49031
Li, Ruo; Liu, Wenbin; Ma, Heping; Tang, Tao
2002
A moving mesh finite element algorithm for singular problems in two and three space dimensions. Zbl 0998.65105
Li, Ruo; Tang, Tao; Zhang, Pingwen
2002
Combined Hermite spectral-finite difference method for the Fokker-Planck equation. Zbl 1007.65068
Fok, Johnson C. M.; Guo, Benyu; Tang, Tao
2002
An adaptive mesh redistribution algorithm for convection-dominated problems. Zbl 1008.65091
Zhang, Zheng-Ru; Tang, Tao
2002
Moving mesh methods in multiple dimensions based on harmonic maps. Zbl 0986.65090
Li, Ruo; Tang, Tao; Zhang, Pingwen
2001
A compact fourth-order finite difference scheme for unsteady viscous incompressible flows. Zbl 1172.76344
Li, Ming; Tang, Tao
2001
Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems. Zbl 1023.65115
Liu, Wenbin; Tang, Tao
2001
Analysis of moving mesh methods based on geometrical variables. Zbl 0976.65088
Tang, Tao; Xue, Wei-min; Zhang, Pingwen
2001
On mixed error estimates for elliptic obstacle problems. Zbl 0996.65113
Liu, Wenbin; Ma, Heping; Tang, Tao
2001
Moving mesh finite element methods based on harmonic maps. Zbl 1018.65085
Li, Ruo; Liu, Wenbin; Tang, Tao; Zhang, Pingwen
2001
On numerical entropy inequalities for a class of relaxed schemes. Zbl 1031.65101
Tang, Huazhong; Tang, Tao; Wang, Jinghua
2001
Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: Analysis of convergence. Zbl 0977.65069
Qiu, Y.; Sloan, D. M.; Tang, T.
2000
An Euler-type method for two-dimensional Volterra integral equations of the first kind. Zbl 0965.65143
McKee, Sean; Tang, Tao; Diogo, Teresa
2000
Pointwise error estimates for relaxation approximations to conservation laws. Zbl 0979.35098
2000
Convergence of MUSCL relaxing schemes to the relaxed schemes for conservation laws with stiff source terms. Zbl 0982.65101
Tang, Tao; Wang, Jinghua
2000
Pseudospectral solutions for steady motion of a viscous fluid inside a circular boundary. Zbl 0994.76074
Huang, Weizhang; Tang, Tao
2000
On the regularity of approximate solutions to conservation laws with piecewise smooth solutions. Zbl 0982.35066
Tang, Tao; Teng, Zhen-huan
2000
Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis. Zbl 0958.76080
Tang, Tao; Xu, Kun
1999
Pointwise error estimates for scalar conservation laws with piecewise smooth solutions. Zbl 0934.35088
1999
...and 34 more Documents
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#### Cited by 2,495 Authors

 59 Chen, Yanping 44 Shen, Jie 44 Tang, Tao 32 Xu, Da 28 Huang, Yunqing 27 Yang, Xiaofeng 21 Feng, Xinlong 20 Wang, Zhongqing 19 Dehghan Takht Fooladi, Mehdi 19 Hou, Tianliang 19 Nelakanti, Gnaneshwar 19 Qiao, Zhonghua 19 Tang, Huazhong 19 Wang, Cheng 18 Zhang, Jun 18 Zhou, Tao 17 Wang, Lilian 17 Yi, Lijun 16 Guo, Ben-Yu 16 Ju, Lili 15 Li, Ruo 15 Yang, Yin 14 Gong, Yuezheng 14 Lu, Zuliang 14 Mokhtary, Payam 14 Wang, Yushun 14 Zhang, Zhimin 13 Wang, Tianjun 12 Li, Huiyuan 12 Liu, Steve Wenbin 11 Bao, Weizhu 11 Chen, Wenbin 11 Du, Qiang 11 Huang, Weizhang 11 Karniadakis, George Em 11 Kim, Junseok 11 Long, Guangqing 11 Wang, Qi 11 Wise, Steven M. 11 Zhao, Jia 10 Diogo, Teresa 10 He, Yinnian 10 Hu, Guanghui 10 Kalita, Jiten C. 10 Leng, Haitao 10 Li, Xiao 10 Shu, Chi-Wang 10 Tian, Zhenfu 10 Xu, Chuanju 10 Zhang, Zhengru 9 Cai, Yongyong 9 Liu, Li-Bin 9 Mandal, Moumita 9 Tohidi, Emran 9 Wu, Shulin 9 Yu, Haijun 8 Cai, Haotao 8 Das, Payel 8 Dong, Xuanchun 8 Ge, Yongbin 8 Gu, Zhendong 8 Huang, Can 8 Huang, Chengming 8 Jin, Shi 8 Liao, HongLin 8 Sun, Shuyu 8 Sun, Zhizhong 8 Wang, Hong 8 Wang, Yingwei 8 Xu, Kun 8 Yan, Ningning 8 Yang, Danping 8 Yang, Jiang 8 Yi, Nianyu 8 Yu, Xuhong 8 Zhai, Shuying 8 Zhang, Luming 8 Zhang, Pingwen 8 Zhao, Jingjun 8 Zhao, Weidong 7 Bhrawy, Ali Hassan 7 Brunner, Hermann 7 Fu, Hongfei 7 Ghoreishi, Farideh 7 Li, Xiaoli 7 Lima, Pedro Miguel 7 Liu, Fawang 7 Liu, Wen-Jie 7 Rui, Hongxing 7 Sheng, Changtao 7 Shi, Xiulian 7 Tan, Zhijun 7 Wei, Yunxia 7 Weng, Zhifeng 7 Xie, Hehu 7 Xu, Yuesheng 7 Yang, Xuehua 7 Yuan, Li 7 Yücel, Hamdullah 7 Zeng, Fanhai ...and 2,395 more Authors
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#### Cited in 230 Serials

 233 Journal of Computational Physics 198 Journal of Scientific Computing 173 Journal of Computational and Applied Mathematics 104 Applied Numerical Mathematics 90 Applied Mathematics and Computation 86 Computers & Mathematics with Applications 59 Computers and Fluids 58 Numerical Algorithms 53 SIAM Journal on Scientific Computing 44 Mathematics of Computation 38 Advances in Computational Mathematics 36 International Journal of Computer Mathematics 33 Advances in Applied Mathematics and Mechanics 32 SIAM Journal on Numerical Analysis 32 Computational and Applied Mathematics 26 Computer Methods in Applied Mechanics and Engineering 25 Numerical Methods for Partial Differential Equations 24 Applied Mathematical Modelling 20 East Asian Journal on Applied Mathematics 18 Mathematical Methods in the Applied Sciences 18 Applied Mathematics Letters 17 Journal of Fluid Mechanics 17 Numerische Mathematik 17 Communications in Nonlinear Science and Numerical Simulation 16 Science China. Mathematics 15 Numerical Functional Analysis and Optimization 14 International Journal for Numerical Methods in Fluids 14 Journal of Applied Mathematics and Computing 14 Advances in Difference Equations 13 Mathematics and Computers in Simulation 13 Discrete and Continuous Dynamical Systems. Series B 12 Journal of Mathematical Analysis and Applications 12 Frontiers of Mathematics in China 10 Calcolo 10 Engineering Analysis with Boundary Elements 10 Mathematical Problems in Engineering 10 Abstract and Applied Analysis 9 Computational Optimization and Applications 9 International Journal of Computational Methods 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Computer Physics Communications 8 BIT 8 International Journal for Numerical Methods in Engineering 8 Journal of Integral Equations and Applications 8 Journal of Inequalities and Applications 8 Journal of Hyperbolic Differential Equations 7 Journal of Differential Equations 6 Physics of Fluids 6 Nonlinear Dynamics 5 Journal of Applied Mathematics 5 Multiscale Modeling & Simulation 5 Mathematical Sciences 5 Computational Methods for Differential Equations 5 Communications on Applied Mathematics and Computation 4 Applicable Analysis 4 Archive for Rational Mechanics and Analysis 4 Acta Mathematicae Applicatae Sinica. English Series 4 Science in China. Series A 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 ETNA. Electronic Transactions on Numerical Analysis 4 Journal of Difference Equations and Applications 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Journal of Systems Science and Complexity 4 Journal of Numerical Mathematics 4 International Journal of Applied and Computational Mathematics 3 Journal of Statistical Physics 3 Chaos, Solitons and Fractals 3 Mathematical and Computer Modelling 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Journal of the Egyptian Mathematical Society 3 Discrete and Continuous Dynamical Systems 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Optimization Methods & Software 3 Discrete Dynamics in Nature and Society 3 Nonlinear Analysis. Modelling and Control 3 Mathematical Modelling and Analysis 3 Computational Methods in Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Boundary Value Problems 3 Kinetic and Related Models 3 Advances in Mathematical Physics 3 Journal of Linear and Topological Algebra 3 Electronic Research Archive 2 International Journal of Control 2 International Journal of Heat and Mass Transfer 2 Journal of Engineering Mathematics 2 Lithuanian Mathematical Journal 2 Rocky Mountain Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Automatica 2 Computing 2 Journal of Optimization Theory and Applications 2 Quarterly of Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Studies in Applied Mathematics 2 Bulletin of the Iranian Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 Computational Mechanics 2 Computational Mathematics and Modeling ...and 130 more Serials
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#### Cited in 43 Fields

 1,701 Numerical analysis (65-XX) 801 Partial differential equations (35-XX) 442 Fluid mechanics (76-XX) 310 Integral equations (45-XX) 160 Calculus of variations and optimal control; optimization (49-XX) 157 Ordinary differential equations (34-XX) 82 Approximations and expansions (41-XX) 79 Real functions (26-XX) 76 Mechanics of deformable solids (74-XX) 70 Statistical mechanics, structure of matter (82-XX) 45 Probability theory and stochastic processes (60-XX) 43 Special functions (33-XX) 40 Classical thermodynamics, heat transfer (80-XX) 36 Optics, electromagnetic theory (78-XX) 31 Biology and other natural sciences (92-XX) 24 Dynamical systems and ergodic theory (37-XX) 19 Quantum theory (81-XX) 17 Operator theory (47-XX) 17 Geophysics (86-XX) 17 Systems theory; control (93-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Operations research, mathematical programming (90-XX) 8 Computer science (68-XX) 7 Statistics (62-XX) 7 Astronomy and astrophysics (85-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Information and communication theory, circuits (94-XX) 5 Difference and functional equations (39-XX) 4 Functions of a complex variable (30-XX) 4 Potential theory (31-XX) 4 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX)