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Tang, Tao

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Author ID: tang.tao Recent zbMATH articles by "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
all top 5

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

Publications by Year

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
267
2011
Spectral and high-order methods with applications. Zbl 1234.65005
Shen, Jie; Tang, Tao
176
2006
Adaptive finite element approximation for distributed elliptic optimal control problems. Zbl 1034.49031
Li, Ruo; Liu, Wenbin; Ma, Heping; Tang, Tao
121
2002
Stability analysis of large time-stepping methods for epitaxial growth models. Zbl 1127.65069
Xu, Chuanju; Tang, Tao
121
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
114
2010
A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations. Zbl 0836.76060
Li, Ming; Tang, Tao; Fornberg, Bengt
110
1995
On spectral methods for Volterra integral equations and the convergence analysis. Zbl 1174.65058
Tang, Tao; Xu, Xiang; Cheng, Jin
109
2008
Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws. Zbl 1052.65079
Tang, Huazhong; Tang, Tao
107
2003
On large time-stepping methods for the Cahn-Hilliard equation. Zbl 1118.65109
He, Yinnian; Liu, Yunxian; Tang, Tao
93
2007
Moving mesh methods in multiple dimensions based on harmonic maps. Zbl 0986.65090
Li, Ruo; Tang, Tao; Zhang, Pingwen
90
2001
A finite difference scheme for partial integro-differential equations with a weakly singular kernel. Zbl 0768.65093
Tang, Tao
88
1993
Spectral methods for weakly singular Volterra integral equations with smooth solutions. Zbl 1186.65161
Chen, Yanping; Tang, Tao
71
2009
An adaptive time-stepping strategy for the molecular beam epitaxy models. Zbl 1234.35274
Qiao, Zhonghua; Zhang, Zhengru; Tang, Tao
65
2011
Boundary layer resolving pseudospectral methods for singular perturbation problems. Zbl 0851.65058
Tang, Tao; Trummer, Manfred R.
58
1996
The Hermite spectral method for Gaussian-type functions. Zbl 0782.65110
Tang, Tao
54
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
45
2002
A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. Zbl 0765.65126
Tang, Tao
44
1993
Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200
Xie, Ziqing; Li, Xianjuan; Tang, Tao
44
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.
42
2000
Spectral methods for pantograph-type differential and integral equations with multiple delays. Zbl 1396.65107
Ali, Ishtiaq; Brunner, Hermann; Tang, Tao
42
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.
40
1990
A spectral method for pantograph-type delay differential equations and its convergence analysis. Zbl 1212.65308
Ali, Ishtiaq; Brunner, Hermann; Tang, Tao
40
2009
Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations. Zbl 1346.35162
Li, Dong; Qiao, Zhonghua; Tang, Tao
40
2016
On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059
Shen, Jie; Tang, Tao; Yang, Jiang
40
2016
Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations. Zbl 0741.65110
Tang, Tao
38
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
36
2004
Collocation methods for second-kind Volterra integral equations with weakly singular kernels. Zbl 0807.65141
Diogo, Teresa; McKee, Sean; Tang, Tao
35
1994
Moving mesh finite element methods for the incompressible Navier-Stokes equations. Zbl 1115.76045
Di, Yana; Li, Ruo; Tang, Tao; Zhang, Pingwen
33
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
33
2017
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111
Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang
33
2013
Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains. Zbl 1087.65097
Ma, Heping; Sun, Weiwei; Tang, Tao
32
2005
Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. Zbl 1302.65224
Feng, Xinlong; Tang, Tao; Yang, Jiang
32
2013
Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind. Zbl 1260.65111
Li, Xianjuan; Tang, Tao
32
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
31
1991
Combined Hermite spectral-finite difference method for the Fokker-Planck equation. Zbl 1007.65068
Fok, Johnson C. M.; Guo, Benyu; Tang, Tao
31
2002
A compact fourth-order finite difference scheme for unsteady viscous incompressible flows. Zbl 1172.76344
Li, Ming; Tang, Tao
31
2001
On steady flow past a rotating circular cylinder at Reynolds numbers 60 and 100. Zbl 0722.76089
Tang, T.; Ingham, D. B.
31
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
29
2013
Moving mesh methods with locally varying time steps. Zbl 1054.65099
Tan, Zhijun; Zhang, Zhengru; Huang, Yunqing; Tang, Tao
28
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
28
2015
An Euler-type method for two-dimensional Volterra integral equations of the first kind. Zbl 0965.65143
McKee, Sean; Tang, Tao; Diogo, Teresa
27
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
26
2003
Parallel in time algorithm with spectral-subdomain enhancement for Volterra integral equations. Zbl 1291.65382
Li, Xianjuan; Tang, Tao; Xu, Chuanju
24
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
21
1995
A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226
Hu, Guanghui; Li, Ruo; Tang, Tao
21
2011
Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems. Zbl 1023.65115
Liu, Wenbin; Tang, Tao
20
2001
Convergence analysis for stochastic collocation methods to scalar hyperbolic equations with a random wave speed. Zbl 1364.65215
Tang, Tao; Zhou, Tao
20
2010
A multilevel successive iteration method for nonlinear elliptic problems. Zbl 1042.65101
Huang, Yunqing; Shi, Zhongci; Tang, Tao; Xue, Weimin
19
2004
Adaptive mesh redistribution method based on Godunov’s scheme. Zbl 1084.65089
Azarenok, Boris N.; Ivanenko, Sergey A.; Tang, Tao
17
2003
Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis. Zbl 0958.76080
Tang, Tao; Xu, Kun
16
1999
Second-order Godunov-type scheme for reactive flow calculations on moving meshes. Zbl 1087.76076
Azarenok, Boris N.; Tang, Tao
16
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
16
2008
A gas-kinetic scheme for shallow-water equations with source terms. Zbl 1142.76457
Tang, Huazhong; Tang, Tao; Xu, Kun
15
2004
Polynomial spline collocation methods for the nonlinear Basset equation. Zbl 0687.65130
Brunner, H.; Tang, T.
14
1989
Implicit-explicit scheme for the Allen-Cahn equation preserves the maximum principle. Zbl 1374.65154
Tang, Tao; Yang, Jiang
14
2016
Viscosity methods for piecewise smooth solutions to scalar conservation laws. Zbl 0864.65060
Tang, Tao; Teng, Zhen-huan
13
1997
A finite difference scheme for solving the nonlinear Poisson-Boltzmann equation modeling charged spheres. Zbl 1105.78015
Qiao, Zhonghua; Li, Zhilin; Tang, Tao
13
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
13
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
13
2014
Product integration methods for an integral equation with logarithmic singular kernel. Zbl 0749.65099
Tang, Tao; McKee, Sean; Diogo, Teresa
12
1992
Error bounds for fractional step methods for conservation laws with source terms. Zbl 0860.65087
Tang, Tao; Teng, Zhen-Huan
12
1995
An adaptive mesh redistribution algorithm for convection-dominated problems. Zbl 1008.65091
Zhang, Zheng-Ru; Tang, Tao
12
2002
Efficient computation of dendritic growth with \(r\)-adaptive finite element methods. Zbl 1148.65052
Wang, Heyu; Li, Ruo; Tang, Tao
12
2008
Pointwise error estimates for relaxation approximations to conservation laws. Zbl 0979.35098
Tadmor, Eitan; Tang, Tao
11
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
11
2011
On energy dissipation theory and numerical stability for time-fractional phase-field equations. Zbl 1435.65146
Tang, Tao; Yu, Haijun; Zhou, Tao
11
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
10
1996
Steady viscous flow in a triangular cavity by efficient numerical techniques. Zbl 0855.76044
Li, M.; Tang, T.
10
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
10
2010
Deferred correction methods for forward backward stochastic differential equations. Zbl 1389.60083
Tang, Tao; Zhao, Weidong; Zhou, Tao
10
2017
Error analysis of a mixed finite element method for the molecular beam epitaxy model. Zbl 1327.35152
Qiao, Zhonghua; Tang, Tao; Xie, Hehu
10
2015
Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038
Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao
10
2015
The numerical analysis of implicit Runge-Kutta methods for a certain nonlinear integro-differential equation. Zbl 0687.65129
Yuan, Wei; Tang, Tao
9
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.
9
1992
The numerical computation of connecting orbits in dynamical systems: A rational spectral approach. Zbl 0797.65055
Liu, Yingjie; Liu, Lixin; Tang, Tao
9
1994
Moving mesh discontinuous Galerkin method for hyperbolic conservation laws. Zbl 1115.65102
Li, Ruo; Tang, Tao
9
2006
A fast high order method for electromagnetic scattering by large open cavities. Zbl 1249.78020
Zhao, Meiling; Qiao, Zhonghua; Tang, Tao
9
2011
Accuracy enhancement using spectral postprocessing for differential equations and integral equations. Zbl 1364.65153
Tang, Tao; Xu, Xiang
9
2009
Gradient bounds for a thin film epitaxy equation. Zbl 1364.35115
Li, Dong; Qiao, Zhonghua; Tang, Tao
9
2017
Pointwise error estimates for scalar conservation laws with piecewise smooth solutions. Zbl 0934.35088
Tadmor, Eitan; Tang, Tao
8
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
8
2003
Parameter-free time adaptivity based on energy evolution for the Cahn-Hilliard equation. Zbl 1388.65060
Luo, Fuesheng; Tang, Tao; Xie, Hehu
8
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
8
2020
Steady two-dimensional flow through a row of normal flat plates. Zbl 0686.76018
Ingham, D. B.; Tang, T.; Morton, B. R.
7
1990
Convergence analysis for operator-splitting methods applied to conservation laws with stiff source terms. Zbl 0921.35103
Tang, Tao
7
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
7
2004
A simple moving mesh method for one- and two-dimensional phase-field equations. Zbl 1087.65089
Tan, Zhijun; Tang, Tao; Zhang, Zhengru
7
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
7
2007
Resolving the shock-induced combustion by an adaptive mesh redistribution method. Zbl 1121.80001
Yuan, Li; Tang, Tao
7
2007
Simulating two-phase viscoelastic flows using moving finite element methods. Zbl 1364.76103
Zhang, Yubo; Wang, Heyu; Tang, Tao
7
2010
Galerkin methods for stochastic hyperbolic problems using bi-orthogonal polynomials. Zbl 1262.65014
Zhou, Tao; Tang, Tao
7
2012
A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries. Zbl 0892.76064
Karageorghis, Andreas; Tang, Tao
6
1996
Fractional rate of convergence for viscous approximation to nonconvex conservation laws. Zbl 1039.35062
Tang, Tao; Teng, Zhen-Huan; Xin, Zhouping
6
2003
A multi-mesh adaptive finite element approximation to phase field models. Zbl 1364.65196
Hu, Xianliang; Li, Ruo; Tang, Tao
6
2009
Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains. Zbl 1447.65161
Tang, Tao; Wang, Li-Lian; Yuan, Huifang; Zhou, Tao
6
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
6
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
6
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
5
2006
Analysis of moving mesh methods based on geometrical variables. Zbl 0976.65088
Tang, Tao; Xue, Wei-min; Zhang, Pingwen
4
2001
Regularity and global structure of solutions to Hamilton-Jacobi equations I. Convex Hamiltonians. Zbl 1172.35012
Zhao, Yinchuan; Tang, Tao; Wang, Jinghua
4
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
1
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
8
2020
Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains. Zbl 1447.65161
Tang, Tao; Wang, Li-Lian; Yuan, Huifang; Zhou, Tao
6
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
6
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
6
2020
On energy dissipation theory and numerical stability for time-fractional phase-field equations. Zbl 1435.65146
Tang, Tao; Yu, Haijun; Zhou, Tao
11
2019
Efficient stochastic Galerkin methods for Maxwell’s equations with random inputs. Zbl 1416.78025
Fang, Zhiwei; Li, Jichun; Tang, Tao; Zhou, Tao
2
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
33
2017
Deferred correction methods for forward backward stochastic differential equations. Zbl 1389.60083
Tang, Tao; Zhao, Weidong; Zhou, Tao
10
2017
Gradient bounds for a thin film epitaxy equation. Zbl 1364.35115
Li, Dong; Qiao, Zhonghua; Tang, Tao
9
2017
An efficient gradient projection method for stochastic optimal control problems. Zbl 1386.60239
Gong, Bo; Liu, Wenbin; Tang, Tao; Zhao, Weidong; Zhou, Tao
4
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
3
2017
Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations. Zbl 1346.35162
Li, Dong; Qiao, Zhonghua; Tang, Tao
40
2016
On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059
Shen, Jie; Tang, Tao; Yang, Jiang
40
2016
Implicit-explicit scheme for the Allen-Cahn equation preserves the maximum principle. Zbl 1374.65154
Tang, Tao; Yang, Jiang
14
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
13
2016
Parameter-free time adaptivity based on energy evolution for the Cahn-Hilliard equation. Zbl 1388.65060
Luo, Fuesheng; Tang, Tao; Xie, Hehu
8
2016
Numerical blow-up of nonlinear parabolic integro-differential equations on unbounded domain. Zbl 1352.65651
Brunner, Hermann; Tang, Tao; Zhang, Jiwei
4
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
28
2015
Error analysis of a mixed finite element method for the molecular beam epitaxy model. Zbl 1327.35152
Qiao, Zhonghua; Tang, Tao; Xie, Hehu
10
2015
Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038
Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao
10
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
1
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
13
2014
Adaptive moving grid methods for two-phase flow in porous media. Zbl 1293.76099
Dong, Hao; Qiao, Zhonghua; Sun, Shuyu; Tang, Tao
3
2014
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111
Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang
33
2013
Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. Zbl 1302.65224
Feng, Xinlong; Tang, Tao; Yang, Jiang
32
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
29
2013
Parallel in time algorithm with spectral-subdomain enhancement for Volterra integral equations. Zbl 1291.65382
Li, Xianjuan; Tang, Tao; Xu, Chuanju
24
2013
An adaptive time stepping method with efficient error control for second-order evolution problems. Zbl 1304.65167
Huang, Jianguo; Lai, Junjiang; Tang, Tao
4
2013
High-order convergence of spectral deferred correction methods on general quadrature nodes. Zbl 1277.65062
Tang, Tao; Xie, Hehu; Yin, Xiaobo
4
2013
Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200
Xie, Ziqing; Li, Xianjuan; Tang, Tao
44
2012
Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind. Zbl 1260.65111
Li, Xianjuan; Tang, Tao
32
2012
Galerkin methods for stochastic hyperbolic problems using bi-orthogonal polynomials. Zbl 1262.65014
Zhou, Tao; Tang, Tao
7
2012
Convergence analysis for spectral approximation to a scalar transport equation with a random wave speed. Zbl 1289.65012
Zhou, Tao; Tang, Tao
3
2012
Spectral methods. Algorithms, analysis and applications. Zbl 1227.65117
Shen, Jie; Tang, Tao; Wang, Li-Lian
267
2011
An adaptive time-stepping strategy for the molecular beam epitaxy models. Zbl 1234.35274
Qiao, Zhonghua; Zhang, Zhengru; Tang, Tao
65
2011
A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226
Hu, Guanghui; Li, Ruo; Tang, Tao
21
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
11
2011
A fast high order method for electromagnetic scattering by large open cavities. Zbl 1249.78020
Zhao, Meiling; Qiao, Zhonghua; Tang, Tao
9
2011
Simulating three-dimensional free surface viscoelastic flows using moving finite difference schemes. Zbl 1249.76064
Zhang, Yubo; Tang, Tao
2
2011
A speed-up strategy for finite volume WENO schemes for hyperbolic conservation laws. Zbl 1270.76043
Teng, Fei; Yuan, Li; Tang, Tao
2
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
114
2010
Convergence analysis for stochastic collocation methods to scalar hyperbolic equations with a random wave speed. Zbl 1364.65215
Tang, Tao; Zhou, Tao
20
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
10
2010
Simulating two-phase viscoelastic flows using moving finite element methods. Zbl 1364.76103
Zhang, Yubo; Wang, Heyu; Tang, Tao
7
2010
Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations. Zbl 1205.65026
Zhou, Tao; Tang, Tao
1
2010
Spectral methods for weakly singular Volterra integral equations with smooth solutions. Zbl 1186.65161
Chen, Yanping; Tang, Tao
71
2009
Spectral methods for pantograph-type differential and integral equations with multiple delays. Zbl 1396.65107
Ali, Ishtiaq; Brunner, Hermann; Tang, Tao
42
2009
A spectral method for pantograph-type delay differential equations and its convergence analysis. Zbl 1212.65308
Ali, Ishtiaq; Brunner, Hermann; Tang, Tao
40
2009
Accuracy enhancement using spectral postprocessing for differential equations and integral equations. Zbl 1364.65153
Tang, Tao; Xu, Xiang
9
2009
A multi-mesh adaptive finite element approximation to phase field models. Zbl 1364.65196
Hu, Xianliang; Li, Ruo; Tang, Tao
6
2009
On spectral methods for Volterra integral equations and the convergence analysis. Zbl 1174.65058
Tang, Tao; Xu, Xiang; Cheng, Jin
109
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
16
2008
Efficient computation of dendritic growth with \(r\)-adaptive finite element methods. Zbl 1148.65052
Wang, Heyu; Li, Ruo; Tang, Tao
12
2008
Regularity and global structure of solutions to Hamilton-Jacobi equations I. Convex Hamiltonians. Zbl 1172.35012
Zhao, Yinchuan; Tang, Tao; Wang, Jinghua
4
2008
Error analysis for a fast numerical method to a boundary integral equation of the first kind. Zbl 1174.65053
Ma, Jingtang; Tang, Tao
2
2008
On large time-stepping methods for the Cahn-Hilliard equation. Zbl 1118.65109
He, Yinnian; Liu, Yunxian; Tang, Tao
93
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
7
2007
Resolving the shock-induced combustion by an adaptive mesh redistribution method. Zbl 1121.80001
Yuan, Li; Tang, Tao
7
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
1
2007
Spectral and high-order methods with applications. Zbl 1234.65005
Shen, Jie; Tang, Tao
176
2006
Stability analysis of large time-stepping methods for epitaxial growth models. Zbl 1127.65069
Xu, Chuanju; Tang, Tao
121
2006
A finite difference scheme for solving the nonlinear Poisson-Boltzmann equation modeling charged spheres. Zbl 1105.78015
Qiao, Zhonghua; Li, Zhilin; Tang, Tao
13
2006
Moving mesh discontinuous Galerkin method for hyperbolic conservation laws. Zbl 1115.65102
Li, Ruo; Tang, Tao
9
2006
A simple moving mesh method for one- and two-dimensional phase-field equations. Zbl 1087.65089
Tan, Zhijun; Tang, Tao; Zhang, Zhengru
7
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
5
2006
Moving mesh finite element methods for the incompressible Navier-Stokes equations. Zbl 1115.76045
Di, Yana; Li, Ruo; Tang, Tao; Zhang, Pingwen
33
2005
Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains. Zbl 1087.65097
Ma, Heping; Sun, Weiwei; Tang, Tao
32
2005
Second-order Godunov-type scheme for reactive flow calculations on moving meshes. Zbl 1087.76076
Azarenok, Boris N.; Tang, Tao
16
2005
A new parallel strategy for two-dimensional incompressible flow simulations using pseudo-spectral methods. Zbl 1154.76361
Yin, Z.; Yuan, Li; Tang, Tao
1
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
36
2004
Moving mesh methods with locally varying time steps. Zbl 1054.65099
Tan, Zhijun; Zhang, Zhengru; Huang, Yunqing; Tang, Tao
28
2004
A multilevel successive iteration method for nonlinear elliptic problems. Zbl 1042.65101
Huang, Yunqing; Shi, Zhongci; Tang, Tao; Xue, Weimin
19
2004
A gas-kinetic scheme for shallow-water equations with source terms. Zbl 1142.76457
Tang, Huazhong; Tang, Tao; Xu, Kun
15
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
7
2004
Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws. Zbl 1052.65079
Tang, Huazhong; Tang, Tao
107
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
26
2003
Adaptive mesh redistribution method based on Godunov’s scheme. Zbl 1084.65089
Azarenok, Boris N.; Ivanenko, Sergey A.; Tang, Tao
17
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
8
2003
Fractional rate of convergence for viscous approximation to nonconvex conservation laws. Zbl 1039.35062
Tang, Tao; Teng, Zhen-Huan; Xin, Zhouping
6
2003
Multi-dimensional moving mesh methods for shock computations. Zbl 1034.76037
Tang, Huazhong; Tang, Tao
1
2003
Adaptive finite element approximation for distributed elliptic optimal control problems. Zbl 1034.49031
Li, Ruo; Liu, Wenbin; Ma, Heping; Tang, Tao
121
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
45
2002
Combined Hermite spectral-finite difference method for the Fokker-Planck equation. Zbl 1007.65068
Fok, Johnson C. M.; Guo, Benyu; Tang, Tao
31
2002
An adaptive mesh redistribution algorithm for convection-dominated problems. Zbl 1008.65091
Zhang, Zheng-Ru; Tang, Tao
12
2002
Moving mesh methods in multiple dimensions based on harmonic maps. Zbl 0986.65090
Li, Ruo; Tang, Tao; Zhang, Pingwen
90
2001
A compact fourth-order finite difference scheme for unsteady viscous incompressible flows. Zbl 1172.76344
Li, Ming; Tang, Tao
31
2001
Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems. Zbl 1023.65115
Liu, Wenbin; Tang, Tao
20
2001
Analysis of moving mesh methods based on geometrical variables. Zbl 0976.65088
Tang, Tao; Xue, Wei-min; Zhang, Pingwen
4
2001
On mixed error estimates for elliptic obstacle problems. Zbl 0996.65113
Liu, Wenbin; Ma, Heping; Tang, Tao
4
2001
Moving mesh finite element methods based on harmonic maps. Zbl 1018.65085
Li, Ruo; Liu, Wenbin; Tang, Tao; Zhang, Pingwen
3
2001
On numerical entropy inequalities for a class of relaxed schemes. Zbl 1031.65101
Tang, Huazhong; Tang, Tao; Wang, Jinghua
1
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.
42
2000
An Euler-type method for two-dimensional Volterra integral equations of the first kind. Zbl 0965.65143
McKee, Sean; Tang, Tao; Diogo, Teresa
27
2000
Pointwise error estimates for relaxation approximations to conservation laws. Zbl 0979.35098
Tadmor, Eitan; Tang, Tao
11
2000
Convergence of MUSCL relaxing schemes to the relaxed schemes for conservation laws with stiff source terms. Zbl 0982.65101
Tang, Tao; Wang, Jinghua
3
2000
Pseudospectral solutions for steady motion of a viscous fluid inside a circular boundary. Zbl 0994.76074
Huang, Weizhang; Tang, Tao
3
2000
On the regularity of approximate solutions to conservation laws with piecewise smooth solutions. Zbl 0982.35066
Tang, Tao; Teng, Zhen-huan
1
2000
Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis. Zbl 0958.76080
Tang, Tao; Xu, Kun
16
1999
Pointwise error estimates for scalar conservation laws with piecewise smooth solutions. Zbl 0934.35088
Tadmor, Eitan; Tang, Tao
8
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
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4 International Journal of Nonlinear Sciences and Numerical Simulation
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4 International Journal of Applied and Computational Mathematics
3 Journal of Statistical Physics
3 Chaos, Solitons and Fractals
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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
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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
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2 Computational Mathematics and Modeling
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Cited in 43 Fields

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801 Partial differential equations (35-XX)
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310 Integral equations (45-XX)
160 Calculus of variations and optimal control; optimization (49-XX)
157 Ordinary differential equations (34-XX)
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