Edit Profile (opens in new tab) Tang, Tao Co-Author Distance Author ID: tang.tao Published as: Tang, Tao; Tang, T.; Tang, tao more...less Homepage: http://www.sustc.edu.cn/en/faculty_54/f/TANG_Tao External Links: MGP · Google Scholar Documents Indexed: 173 Publications since 1987, including 3 Books 11 Contributions as Editor Reviewing Activity: 18 Reviews Co-Authors: 117 Co-Authors with 156 Joint Publications 4,788 Co-Co-Authors all top 5 Co-Authors 10 single-authored 13 Li, Ruo 12 Teng, Zhen-Huan 12 Yang, Jiang 10 Zhou, Tao 9 McKee, Sean 9 Qiao, Zhonghua 8 Zhang, Pingwen 7 Liu, Steve Wenbin 6 Ingham, Derek Binns 6 Liao, HongLin 6 Wang, Jinghua 5 Diogo, Teresa 5 Li, Dong 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 Quan, Chaoyu 3 Tadmor, Eitan 3 Wang, Lilian 3 Xie, Hehu 3 Yuan, Huifang 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, Shukai 2 Morton, B. R. 2 Reeks, Michael W. 2 Shi, Zhongci 2 Shu, Chi-Wang 2 Sloan, David M. 2 Tan, Zhijun 2 Wang, Boyi 2 Wang, Heyu 2 Xu, Kun 2 Xu, Xiang 2 Xue, Weimin 2 Yuan, Wei 2 Zhang, Jiwei 2 Zhang, Yubo 2 Zhao, Weidong 1 Ahmad, Ehsan 1 Bao, Weizhu 1 Bowman, Trevor 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 Dong, Yunwei 1 Du, Junfeng 1 Du, Qiang 1 Dunson, David Brian 1 Fang, Wenhua 1 Fang, Zhiwei 1 Fok, Johnson C. M. 1 Fornberg, Bengt 1 Fu, Enzhong 1 Fu, Zhaohui 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 Johndrow, James E. 1 Kan, Yan-Xiang 1 Karageorghis, Andreas 1 Kurganov, Alexander 1 Lai, Junjiang 1 Lamb, Wilson 1 Larson, Brian 1 Li, Changpin 1 Li, Jichun 1 Li, Jinying 1 Li, Ying ...and 47 more Co-Authors all top 5 Serials 16 Journal of Computational Physics 15 SIAM Journal on Numerical Analysis 15 Journal of Computational Mathematics 15 Journal of Scientific Computing 12 Communications in Computational Physics 10 SIAM Journal on Scientific Computing 7 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 Scientia Sinica. Mathematica 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 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 BIT 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 SIAM Journal on Applied 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 International Journal of Computational Fluid Dynamics 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 Nonlinear Analysis. Hybrid Systems 1 Communications in Mathematical Research 1 Science China. Information Sciences 1 Mathematics Monograph Series 1 Annals of Applied Mathematics 1 Communications on Applied Mathematics and Computation 1 Communications in Mathematical Analysis and Applications all top 5 Fields 148 Numerical analysis (65-XX) 81 Partial differential equations (35-XX) 41 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 Mechanics of deformable solids (74-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Probability theory and stochastic processes (60-XX) 5 Real functions (26-XX) 4 Approximations and expansions (41-XX) 4 Systems theory; control (93-XX) 3 Optics, electromagnetic theory (78-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-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) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 154 Publications have been cited 4,613 times in 2,917 Documents Cited by ▼ Year ▼ Spectral methods. Algorithms, analysis and applications. Zbl 1227.65117Shen, Jie; Tang, Tao; Wang, Li-Lian 557 2011 Spectral and high-order methods with applications. Zbl 1234.65005Shen, Jie; Tang, Tao 239 2006 Stability analysis of large time-stepping methods for epitaxial growth models. Zbl 1127.65069Xu, Chuanju; Tang, Tao 186 2006 Adaptive finite element approximation for distributed elliptic optimal control problems. Zbl 1034.49031Li, Ruo; Liu, Wenbin; Ma, Heping; Tang, Tao 157 2002 Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel. Zbl 1207.65157Chen, Yanping; Tang, Tao 150 2010 On spectral methods for Volterra integral equations and the convergence analysis. Zbl 1174.65058Tang, Tao; Xu, Xiang; Cheng, Jin 139 2008 Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws. Zbl 1052.65079Tang, Huazhong; Tang, Tao 137 2003 A finite difference scheme for partial integro-differential equations with a weakly singular kernel. Zbl 0768.65093Tang, Tao 122 1993 On large time-stepping methods for the Cahn-Hilliard equation. Zbl 1118.65109He, Yinnian; Liu, Yunxian; Tang, Tao 120 2007 A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations. Zbl 0836.76060Li, Ming; Tang, Tao; Fornberg, Bengt 120 1995 An adaptive time-stepping strategy for the molecular beam epitaxy models. Zbl 1234.35274Qiao, Zhonghua; Zhang, Zhengru; Tang, Tao 117 2011 Moving mesh methods in multiple dimensions based on harmonic maps. Zbl 0986.65090Li, Ruo; Tang, Tao; Zhang, Pingwen 106 2001 On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059Shen, Jie; Tang, Tao; Yang, Jiang 86 2016 Spectral methods for weakly singular Volterra integral equations with smooth solutions. Zbl 1186.65161Chen, Yanping; Tang, Tao 84 2009 Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations. Zbl 1346.35162Li, Dong; Qiao, Zhonghua; Tang, Tao 84 2016 The Hermite spectral method for Gaussian-type functions. Zbl 0782.65110Tang, Tao 72 1993 Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations. Zbl 1379.65063Hou, Tianliang; Tang, Tao; Yang, Jiang 71 2017 Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. Zbl 1302.65224Feng, Xinlong; Tang, Tao; Yang, Jiang 63 2013 A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. Zbl 1440.65116Liao, Hong-lin; Tang, Tao; Zhou, Tao 62 2020 Boundary layer resolving pseudospectral methods for singular perturbation problems. Zbl 0851.65058Tang, Tao; Trummer, Manfred R. 61 1996 Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200Xie, Ziqing; Li, Xianjuan; Tang, Tao 60 2012 A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. Zbl 0765.65126Tang, Tao 54 1993 On energy dissipation theory and numerical stability for time-fractional phase-field equations. Zbl 1435.65146Tang, Tao; Yu, Haijun; Zhou, Tao 54 2019 Spectral methods for pantograph-type differential and integral equations with multiple delays. Zbl 1396.65107Ali, Ishtiaq; Brunner, Hermann; Tang, Tao 53 2009 A spectral method for pantograph-type delay differential equations and its convergence analysis. Zbl 1212.65308Ali, Ishtiaq; Brunner, Hermann; Tang, Tao 52 2009 A moving mesh finite element algorithm for singular problems in two and three space dimensions. Zbl 0998.65105Li, Ruo; Tang, Tao; Zhang, Pingwen 50 2002 Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang 47 2013 Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: Analysis of convergence. Zbl 0977.65069Qiu, Y.; Sloan, D. M.; Tang, T. 47 2000 Long time numerical simulations for phase-field problems using \(p\)-adaptive spectral deferred correction methods. Zbl 1327.65161Feng, Xinlong; Tang, Tao; Yang, Jiang 45 2015 A posteriori error estimates for discontinuous Galerkin time-stepping method for optimal control problems governed by parabolic equations. Zbl 1085.65054Liu, Wenbin; Ma, Heping; Tang, Tao; Yan, Ningning 43 2004 An Euler-type method for two-dimensional Volterra integral equations of the first kind. Zbl 0965.65143McKee, Sean; Tang, Tao; Diogo, Teresa 43 2000 Implicit-explicit scheme for the Allen-Cahn equation preserves the maximum principle. Zbl 1374.65154Tang, Tao; Yang, Jiang 43 2016 Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations. Zbl 0741.65110Tang, Tao 42 1992 A numerical investigation into the steady flow past a rotating circular cylinder at low and intermediate Reynolds numbers. Zbl 0687.76037Ingham, D. B.; Tang, T. 42 1990 Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains. Zbl 1087.65097Ma, Heping; Sun, Weiwei; Tang, Tao 41 2005 Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind. Zbl 1260.65111Li, Xianjuan; Tang, Tao 41 2012 Collocation methods for second-kind Volterra integral equations with weakly singular kernels. Zbl 0807.65141Diogo, Teresa; McKee, Sean; Tang, Tao 38 1994 Combined Hermite spectral-finite difference method for the Fokker-Planck equation. Zbl 1007.65068Fok, Johnson C. M.; Guo, Benyu; Tang, Tao 38 2002 Moving mesh finite element methods for the incompressible Navier-Stokes equations. Zbl 1115.76045Di, Yana; Li, Ruo; Tang, Tao; Zhang, Pingwen 38 2005 On energy stable, maximum-principle preserving, second-order BDF scheme with variable steps for the Allen-Cahn equation. Zbl 1447.65083Liao, Hong-lin; Tang, Tao; Zhou, Tao 38 2020 A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226Hu, Guanghui; Li, Ruo; Tang, Tao 37 2011 A note on Jacobi spectral-collocation methods for weakly singular Volterra integral equations with smooth solutions. Zbl 1289.65284Chen, Yanping; Li, Xianjuan; Tang, Tao 36 2013 A Hermite-type collocation method for the solution of an integral equation with a certain weakly singular kernel. Zbl 0738.65096Diogo, Teresa; McKee, Sean; Tang, Tao 34 1991 A compact fourth-order finite difference scheme for unsteady viscous incompressible flows. Zbl 1172.76344Li, Ming; Tang, Tao 34 2001 Moving mesh methods with locally varying time steps. Zbl 1054.65099Tan, Zhijun; Zhang, Zhengru; Huang, Yunqing; Tang, Tao 33 2004 On steady flow past a rotating circular cylinder at Reynolds numbers 60 and 100. Zbl 0722.76089Tang, T.; Ingham, D. B. 32 1991 An adaptive mesh redistribution method for nonlinear Hamilton–Jacobi equations in two- and three-dimensions. Zbl 1037.65091Tang, H.-Z.; Tang, Tao; Zhang, Pingwen 30 2003 Parallel in time algorithm with spectral-subdomain enhancement for Volterra integral equations. Zbl 1291.65382Li, Xianjuan; Tang, Tao; Xu, Chuanju 26 2013 A multilevel successive iteration method for nonlinear elliptic problems. Zbl 1042.65101Huang, Yunqing; Shi, Zhongci; Tang, Tao; Xue, Weimin 24 2004 Convergence analysis for stochastic collocation methods to scalar hyperbolic equations with a random wave speed. Zbl 1364.65215Tang, Tao; Zhou, Tao 24 2010 A gas-kinetic scheme for shallow-water equations with source terms. Zbl 1142.76457Tang, Huazhong; Tang, Tao; Xu, Kun 24 2004 Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains. Zbl 1450.65154Sheng, Changtao; Shen, Jie; Tang, Tao; Wang, Li-Lian; Yuan, Huifang 24 2020 The sharpness of Kuznetsov’s \(O(\sqrt {\Delta x})\) \(L^ 1\)-error estimate for monotone difference schemes. Zbl 0845.65053Tang, Tao; Teng, Zhen-Huan 23 1995 Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains. Zbl 1447.65161Tang, Tao; Wang, Li-Lian; Yuan, Huifang; Zhou, Tao 23 2020 Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems. Zbl 1023.65115Liu, Wenbin; Tang, Tao 22 2001 Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis. Zbl 0958.76080Tang, Tao; Xu, Kun 22 1999 Adaptive mesh redistribution method based on Godunov’s scheme. Zbl 1084.65089Azarenok, Boris N.; Ivanenko, Sergey A.; Tang, Tao 22 2003 Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao 22 2015 An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation. Zbl 1481.65142Liao, Hong-Lin; Tang, Tao; Zhou, Tao 20 2021 Numerical solutions for weakly singular Volterra integral equations using Chebyshev and Legendre pseudo-spectral Galerkin methods. Zbl 1346.65078Li, Xianjuan; Tang, Tao; Xu, Chuanju 20 2016 Second-order Godunov-type scheme for reactive flow calculations on moving meshes. Zbl 1087.76076Azarenok, Boris N.; Tang, Tao 19 2005 A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows. Zbl 1195.76252Di, Yana; Li, Ruo; Tang, Tao 18 2008 An adaptive mesh redistribution algorithm for convection-dominated problems. Zbl 1008.65091Zhang, Zheng-Ru; Tang, Tao 17 2002 Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection. Zbl 1467.74092Liao, Hong-Lin; Song, Xuehua; Tang, Tao; Zhou, Tao 17 2021 Polynomial spline collocation methods for the nonlinear Basset equation. Zbl 0687.65130Brunner, H.; Tang, T. 16 1989 Deferred correction methods for forward backward stochastic differential equations. Zbl 1389.60083Tang, Tao; Zhao, Weidong; Zhou, Tao 16 2017 Efficient computation of dendritic growth with \(r\)-adaptive finite element methods. Zbl 1148.65052Wang, Heyu; Li, Ruo; Tang, Tao 15 2008 Viscosity methods for piecewise smooth solutions to scalar conservation laws. Zbl 0864.65060Tang, Tao; Teng, Zhen-huan 15 1997 A finite difference scheme for solving the nonlinear Poisson-Boltzmann equation modeling charged spheres. Zbl 1105.78015Qiao, Zhonghua; Li, Zhilin; Tang, Tao 14 2006 Accuracy enhancement using spectral postprocessing for differential equations and integral equations. Zbl 1364.65153Tang, Tao; Xu, Xiang 14 2009 Hermite spectral collocation methods for fractional PDEs in unbounded domains. Zbl 1475.65148Tang, Tao; Yuan, Huifang; Zhou, Tao 14 2018 Gradient bounds for a thin film epitaxy equation. Zbl 1364.35115Li, Dong; Qiao, Zhonghua; Tang, Tao 14 2017 On discrete least-squares projection in unbounded domain with random evaluations and its application to parametric uncertainty quantification. Zbl 1305.41008Tang, Tao; Zhou, Tao 14 2014 Error analysis of a mixed finite element method for the molecular beam epitaxy model. Zbl 1327.35152Qiao, Zhonghua; Tang, Tao; Xie, Hehu 14 2015 A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids. Zbl 1329.76261Hu, Guanghui; Li, Ruo; Tang, Tao 13 2010 Error bounds for fractional step methods for conservation laws with source terms. Zbl 0860.65087Tang, Tao; Teng, Zhen-Huan 13 1995 Supergeometric convergence of a spectral collocation method for weakly singular Volterra and Fredholm integral equations with smooth solutions. Zbl 1265.65269Huang, Can; Tang, Tao; Zhang, Zhimin 13 2011 Product integration methods for an integral equation with logarithmic singular kernel. Zbl 0749.65099Tang, Tao; McKee, Sean; Diogo, Teresa 13 1992 The numerical analysis of implicit Runge-Kutta methods for a certain nonlinear integro-differential equation. Zbl 0687.65129Yuan, Wei; Tang, Tao 13 1990 A fast high order method for electromagnetic scattering by large open cavities. Zbl 1249.78020Zhao, Meiling; Qiao, Zhonghua; Tang, Tao 13 2011 Moving mesh discontinuous Galerkin method for hyperbolic conservation laws. Zbl 1115.65102Li, Ruo; Tang, Tao 12 2006 A Volterra integral type method for solving a class of nonlinear initial-boundary value problems. Zbl 0858.65138Jumarhon, Bartur; Lamb, Wilson; McKee, Sean; Tang, Tao 12 1996 Steady viscous flow in a triangular cavity by efficient numerical techniques. Zbl 0855.76044Li, M.; Tang, T. 12 1996 Parameter-free time adaptivity based on energy evolution for the Cahn-Hilliard equation. Zbl 1388.65060Luo, Fuesheng; Tang, Tao; Xie, Hehu 12 2016 Pointwise error estimates for relaxation approximations to conservation laws. Zbl 0979.35098Tadmor, Eitan; Tang, Tao 11 2000 High-order convergence of spectral deferred correction methods on general quadrature nodes. Zbl 1277.65062Tang, Tao; Xie, Hehu; Yin, Xiaobo 11 2013 Stability of the semi-implicit method for the Cahn-Hilliard equation with logarithmic potentials. Zbl 1488.65432Li, Dong; Tang, Tao 11 2021 A spectral method for the numerical solutions of a kinetic equation describing the dispersion of small particles in a turbulent flow. Zbl 0763.76064Tang, Tao; McKee, S.; Reeks, M. W. 10 1992 Level set calculations for incompressible two-phase flows on a dynamically adaptive grid. Zbl 1151.76548Di, Yana; Li, Ruo; Tang, Tao; Zhang, Pingwen 10 2007 An efficient gradient projection method for stochastic optimal control problems. Zbl 1386.60239Gong, Bo; Liu, Wenbin; Tang, Tao; Zhao, Weidong; Zhou, Tao 10 2017 The numerical computation of connecting orbits in dynamical systems: A rational spectral approach. Zbl 0797.65055Liu, Yingjie; Liu, Lixin; Tang, Tao 9 1994 Galerkin methods for stochastic hyperbolic problems using bi-orthogonal polynomials. Zbl 1262.65014Zhou, Tao; Tang, Tao 9 2012 Convergence analysis for operator-splitting methods applied to conservation laws with stiff source terms. Zbl 0921.35103Tang, Tao 9 1998 Pointwise error estimates for scalar conservation laws with piecewise smooth solutions. Zbl 0934.35088Tadmor, Eitan; Tang, Tao 9 1999 A multi-mesh adaptive finite element approximation to phase field models. Zbl 1364.65196Hu, Xianliang; Li, Ruo; Tang, Tao 9 2009 Simulating two-phase viscoelastic flows using moving finite element methods. Zbl 1364.76103Zhang, Yubo; Wang, Heyu; Tang, Tao 9 2010 A fast numerical method for integral equations of the first kind with logarithmic kernel using mesh grading. Zbl 1048.65120Chen, Qiyuan; Tang, Tao; Teng, Zhenhuan 8 2004 Numerical challenges for resolving spike dynamics for two one-dimensional reaction-diffusion systems. Zbl 1141.35389Sun, Wentao; Tang, Tao; Ward, Michael J.; Wei, Juncheng 8 2003 Resolving the shock-induced combustion by an adaptive mesh redistribution method. Zbl 1121.80001Yuan, Li; Tang, Tao 8 2007 Steady two-dimensional flow through a row of normal flat plates. Zbl 0686.76018Ingham, D. B.; Tang, T.; Morton, B. R. 7 1990 A decreasing upper bound of the energy for time-fractional phase-field equations. Zbl 1514.65105Quan, Chaoyu; Tang, Tao; Wang, Boyi; Yang, Jiang 2 2023 Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations. Zbl 1515.65222Liao, Hong-Lin; Tang, Tao; Zhou, Tao 2 2023 Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation. Zbl 07473344Li, Dong; Quan, Chaoyu; Tang, Tao 5 2022 Energy plus maximum bound preserving Runge-Kutta methods for the Allen-Cahn equation. Zbl 1502.65063Fu, Zhaohui; Tang, Tao; Yang, Jiang 2 2022 Asymptotic analysis on the sharp interface limit of the time-fractional Cahn-Hilliard equation. Zbl 1498.65149Tang, Tao; Wang, Boyi; Yang, Jiang 2 2022 An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation. Zbl 1481.65142Liao, Hong-Lin; Tang, Tao; Zhou, Tao 20 2021 Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection. Zbl 1467.74092Liao, Hong-Lin; Song, Xuehua; Tang, Tao; Zhou, Tao 17 2021 Stability of the semi-implicit method for the Cahn-Hilliard equation with logarithmic potentials. Zbl 1488.65432Li, Dong; Tang, Tao 11 2021 A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. Zbl 1440.65116Liao, Hong-lin; Tang, Tao; Zhou, Tao 62 2020 On energy stable, maximum-principle preserving, second-order BDF scheme with variable steps for the Allen-Cahn equation. Zbl 1447.65083Liao, Hong-lin; Tang, Tao; Zhou, Tao 38 2020 Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains. Zbl 1450.65154Sheng, Changtao; Shen, Jie; Tang, Tao; Wang, Li-Lian; Yuan, Huifang 24 2020 Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains. Zbl 1447.65161Tang, Tao; Wang, Li-Lian; Yuan, Huifang; Zhou, Tao 23 2020 Efficient numerical methods for phase-field equations. Zbl 1499.65581Tang, Tao; Qiao, Zhonghua 5 2020 Revisit of semi-implicit schemes for phase-field equations. Zbl 1474.65291Tang, Tao 2 2020 Robust efficient cruise control for heavy haul train via the state-dependent intermittent control. Zbl 1479.90039Wang, Xi; Li, Shukai; Tang, Tao 1 2020 An efficient low-dissipation hybrid central/WENO scheme for compressible flows. Zbl 1500.76061Li, Liang; Wang, Hong-Bo; Zhao, Guo-Yan; Sun, Ming-Bo; Xiong, Da-Peng; Tang, Tao 1 2020 On energy dissipation theory and numerical stability for time-fractional phase-field equations. Zbl 1435.65146Tang, Tao; Yu, Haijun; Zhou, Tao 54 2019 Efficient stochastic Galerkin methods for Maxwell’s equations with random inputs. Zbl 1416.78025Fang, Zhiwei; Li, Jichun; Tang, Tao; Zhou, Tao 7 2019 Periodically intermittent cruise control of heavy haul train with uncertain parameters. Zbl 1418.93196Wang, Xi; Li, Shukai; Tang, Tao 3 2019 Preface to the focused issue on fractional derivatives and general nonlocal models. Zbl 1449.00002 1 2019 Hermite spectral collocation methods for fractional PDEs in unbounded domains. Zbl 1475.65148Tang, Tao; Yuan, Huifang; Zhou, Tao 14 2018 Numerical solution of differential equations. Introduction to finite difference and finite element methods. Zbl 1398.65003Li, Zhilin; Qiao, Zhonghua; Tang, Tao 4 2018 Computing the maximal eigenpairs of large size tridiagonal matrices with \(\mathcal{O} (1)\) number of iterations. Zbl 1438.65067Tang, Tao; Yang, Jiang 2 2018 On effective numerical methods for phase-field models. Zbl 1454.65064Tang, Tao 1 2018 Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations. Zbl 1379.65063Hou, Tianliang; Tang, Tao; Yang, Jiang 71 2017 Deferred correction methods for forward backward stochastic differential equations. Zbl 1389.60083Tang, Tao; Zhao, Weidong; Zhou, Tao 16 2017 Gradient bounds for a thin film epitaxy equation. Zbl 1364.35115Li, Dong; Qiao, Zhonghua; Tang, Tao 14 2017 An efficient gradient projection method for stochastic optimal control problems. Zbl 1386.60239Gong, Bo; Liu, Wenbin; Tang, Tao; Zhao, Weidong; Zhou, Tao 10 2017 Blow-up of Volterra integro-differential equations and applications to semi-linear Volterra diffusion equations. Zbl 1399.35103Yang, Zhanwen; Tang, Tao; Zhang, Jiwei 6 2017 On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059Shen, Jie; Tang, Tao; Yang, Jiang 86 2016 Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations. Zbl 1346.35162Li, Dong; Qiao, Zhonghua; Tang, Tao 84 2016 Implicit-explicit scheme for the Allen-Cahn equation preserves the maximum principle. Zbl 1374.65154Tang, Tao; Yang, Jiang 43 2016 Numerical solutions for weakly singular Volterra integral equations using Chebyshev and Legendre pseudo-spectral Galerkin methods. Zbl 1346.65078Li, Xianjuan; Tang, Tao; Xu, Chuanju 20 2016 Parameter-free time adaptivity based on energy evolution for the Cahn-Hilliard equation. Zbl 1388.65060Luo, Fuesheng; Tang, Tao; Xie, Hehu 12 2016 Numerical blow-up of nonlinear parabolic integro-differential equations on unbounded domain. Zbl 1352.65651Brunner, Hermann; Tang, Tao; Zhang, Jiwei 5 2016 Long time numerical simulations for phase-field problems using \(p\)-adaptive spectral deferred correction methods. Zbl 1327.65161Feng, Xinlong; Tang, Tao; Yang, Jiang 45 2015 Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao 22 2015 Error analysis of a mixed finite element method for the molecular beam epitaxy model. Zbl 1327.35152Qiao, Zhonghua; Tang, Tao; Xie, Hehu 14 2015 Recent developments in high order numerical methods for uncertainty quantification. Zbl 1499.65022Tang, Tao; Zhou, Tao 6 2015 Iterative learning control with extended state observer for telescope system. Zbl 1394.93103Cai, 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 1305.41008Tang, Tao; Zhou, Tao 14 2014 Adaptive moving grid methods for two-phase flow in porous media. Zbl 1293.76099Dong, Hao; Qiao, Zhonghua; Sun, Shuyu; Tang, Tao 6 2014 Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. Zbl 1302.65224Feng, Xinlong; Tang, Tao; Yang, Jiang 63 2013 Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang 47 2013 A note on Jacobi spectral-collocation methods for weakly singular Volterra integral equations with smooth solutions. Zbl 1289.65284Chen, Yanping; Li, Xianjuan; Tang, Tao 36 2013 Parallel in time algorithm with spectral-subdomain enhancement for Volterra integral equations. Zbl 1291.65382Li, Xianjuan; Tang, Tao; Xu, Chuanju 26 2013 High-order convergence of spectral deferred correction methods on general quadrature nodes. Zbl 1277.65062Tang, Tao; Xie, Hehu; Yin, Xiaobo 11 2013 An adaptive time stepping method with efficient error control for second-order evolution problems. Zbl 1304.65167Huang, Jianguo; Lai, Junjiang; Tang, Tao 5 2013 Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200Xie, Ziqing; Li, Xianjuan; Tang, Tao 60 2012 Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind. Zbl 1260.65111Li, Xianjuan; Tang, Tao 41 2012 Galerkin methods for stochastic hyperbolic problems using bi-orthogonal polynomials. Zbl 1262.65014Zhou, Tao; Tang, Tao 9 2012 Convergence analysis for spectral approximation to a scalar transport equation with a random wave speed. Zbl 1289.65012Zhou, Tao; Tang, Tao 4 2012 Spectral methods. Algorithms, analysis and applications. Zbl 1227.65117Shen, Jie; Tang, Tao; Wang, Li-Lian 557 2011 An adaptive time-stepping strategy for the molecular beam epitaxy models. Zbl 1234.35274Qiao, Zhonghua; Zhang, Zhengru; Tang, Tao 117 2011 A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226Hu, Guanghui; Li, Ruo; Tang, Tao 37 2011 Supergeometric convergence of a spectral collocation method for weakly singular Volterra and Fredholm integral equations with smooth solutions. Zbl 1265.65269Huang, Can; Tang, Tao; Zhang, Zhimin 13 2011 A fast high order method for electromagnetic scattering by large open cavities. Zbl 1249.78020Zhao, Meiling; Qiao, Zhonghua; Tang, Tao 13 2011 A speed-up strategy for finite volume WENO schemes for hyperbolic conservation laws. Zbl 1270.76043Teng, Fei; Yuan, Li; Tang, Tao 4 2011 Simulating three-dimensional free surface viscoelastic flows using moving finite difference schemes. Zbl 1249.76064Zhang, Yubo; Tang, Tao 2 2011 Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel. Zbl 1207.65157Chen, Yanping; Tang, Tao 150 2010 Convergence analysis for stochastic collocation methods to scalar hyperbolic equations with a random wave speed. Zbl 1364.65215Tang, Tao; Zhou, Tao 24 2010 A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids. Zbl 1329.76261Hu, Guanghui; Li, Ruo; Tang, Tao 13 2010 Simulating two-phase viscoelastic flows using moving finite element methods. Zbl 1364.76103Zhang, Yubo; Wang, Heyu; Tang, Tao 9 2010 Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations. Zbl 1205.65026Zhou, Tao; Tang, Tao 1 2010 Spectral methods for weakly singular Volterra integral equations with smooth solutions. Zbl 1186.65161Chen, Yanping; Tang, Tao 84 2009 Spectral methods for pantograph-type differential and integral equations with multiple delays. Zbl 1396.65107Ali, Ishtiaq; Brunner, Hermann; Tang, Tao 53 2009 A spectral method for pantograph-type delay differential equations and its convergence analysis. Zbl 1212.65308Ali, Ishtiaq; Brunner, Hermann; Tang, Tao 52 2009 Accuracy enhancement using spectral postprocessing for differential equations and integral equations. Zbl 1364.65153Tang, Tao; Xu, Xiang 14 2009 A multi-mesh adaptive finite element approximation to phase field models. Zbl 1364.65196Hu, Xianliang; Li, Ruo; Tang, Tao 9 2009 Regularity and global structure of solutions to Hamilton-Jacobi equations. II: Convex initial data. Zbl 1207.35096Zhao, Yinchuan; Tang, Tao; Wang, Jinghua 1 2009 On spectral methods for Volterra integral equations and the convergence analysis. Zbl 1174.65058Tang, Tao; Xu, Xiang; Cheng, Jin 139 2008 A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows. Zbl 1195.76252Di, Yana; Li, Ruo; Tang, Tao 18 2008 Efficient computation of dendritic growth with \(r\)-adaptive finite element methods. Zbl 1148.65052Wang, Heyu; Li, Ruo; Tang, Tao 15 2008 Regularity and global structure of solutions to Hamilton-Jacobi equations I. Convex Hamiltonians. Zbl 1172.35012Zhao, Yinchuan; Tang, Tao; Wang, Jinghua 5 2008 Error analysis for a fast numerical method to a boundary integral equation of the first kind. Zbl 1174.65053Ma, Jingtang; Tang, Tao 2 2008 On large time-stepping methods for the Cahn-Hilliard equation. Zbl 1118.65109He, Yinnian; Liu, Yunxian; Tang, Tao 120 2007 Level set calculations for incompressible two-phase flows on a dynamically adaptive grid. Zbl 1151.76548Di, Yana; Li, Ruo; Tang, Tao; Zhang, Pingwen 10 2007 Resolving the shock-induced combustion by an adaptive mesh redistribution method. Zbl 1121.80001Yuan, Li; Tang, Tao 8 2007 On the piecewise smoothness of entropy solutions to scalar conversation laws for a larger class of initial data. Zbl 1155.35060Tang, Tao; Wang, Jinghua; Zhao, Yinchuan 1 2007 Spectral and high-order methods with applications. Zbl 1234.65005Shen, Jie; Tang, Tao 239 2006 Stability analysis of large time-stepping methods for epitaxial growth models. Zbl 1127.65069Xu, Chuanju; Tang, Tao 186 2006 A finite difference scheme for solving the nonlinear Poisson-Boltzmann equation modeling charged spheres. Zbl 1105.78015Qiao, Zhonghua; Li, Zhilin; Tang, Tao 14 2006 Moving mesh discontinuous Galerkin method for hyperbolic conservation laws. Zbl 1115.65102Li, Ruo; Tang, Tao 12 2006 A simple moving mesh method for one- and two-dimensional phase-field equations. Zbl 1087.65089Tan, Zhijun; Tang, Tao; Zhang, Zhengru 7 2006 Moving mesh methods for singular problems on a sphere using perturbed harmonic mappings. Zbl 1123.65101Di, Yana; Li, Ruo; Tang, Tao; Zhang, Pingwen 5 2006 Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains. Zbl 1087.65097Ma, Heping; Sun, Weiwei; Tang, Tao 41 2005 Moving mesh finite element methods for the incompressible Navier-Stokes equations. Zbl 1115.76045Di, Yana; Li, Ruo; Tang, Tao; Zhang, Pingwen 38 2005 Second-order Godunov-type scheme for reactive flow calculations on moving meshes. Zbl 1087.76076Azarenok, Boris N.; Tang, Tao 19 2005 A new parallel strategy for two-dimensional incompressible flow simulations using pseudo-spectral methods. Zbl 1154.76361Yin, 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 1085.65054Liu, Wenbin; Ma, Heping; Tang, Tao; Yan, Ningning 43 2004 Moving mesh methods with locally varying time steps. Zbl 1054.65099Tan, Zhijun; Zhang, Zhengru; Huang, Yunqing; Tang, Tao 33 2004 A multilevel successive iteration method for nonlinear elliptic problems. Zbl 1042.65101Huang, Yunqing; Shi, Zhongci; Tang, Tao; Xue, Weimin 24 2004 A gas-kinetic scheme for shallow-water equations with source terms. Zbl 1142.76457Tang, Huazhong; Tang, Tao; Xu, Kun 24 2004 A fast numerical method for integral equations of the first kind with logarithmic kernel using mesh grading. Zbl 1048.65120Chen, Qiyuan; Tang, Tao; Teng, Zhenhuan 8 2004 Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws. Zbl 1052.65079Tang, Huazhong; Tang, Tao 137 2003 An adaptive mesh redistribution method for nonlinear Hamilton–Jacobi equations in two- and three-dimensions. Zbl 1037.65091Tang, H.-Z.; Tang, Tao; Zhang, Pingwen 30 2003 Adaptive mesh redistribution method based on Godunov’s scheme. Zbl 1084.65089Azarenok, Boris N.; Ivanenko, Sergey A.; Tang, Tao 22 2003 Numerical challenges for resolving spike dynamics for two one-dimensional reaction-diffusion systems. Zbl 1141.35389Sun, Wentao; Tang, Tao; Ward, Michael J.; Wei, Juncheng 8 2003 Fractional rate of convergence for viscous approximation to nonconvex conservation laws. Zbl 1039.35062Tang, Tao; Teng, Zhen-Huan; Xin, Zhouping 6 2003 Multi-dimensional moving mesh methods for shock computations. Zbl 1034.76037Tang, Huazhong; Tang, Tao 2 2003 ...and 54 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,474 Authors 77 Chen, Yanping 56 Shen, Jie 49 Tang, Tao 37 Huang, Yunqing 37 Xu, Da 35 Yang, Xiaofeng 30 Feng, Xinlong 30 Wang, Cheng 28 Qiao, Zhonghua 27 Ju, Lili 26 Tang, Huazhong 25 Wang, Yushun 25 Wang, Zhongqing 25 Yang, Yin 23 Hou, Tianliang 23 Zhang, Zhimin 22 Kim, Junseok 21 Dehghan Takht Fooladi, Mehdi 21 Nelakanti, Gnaneshwar 21 Wang, Lilian 21 Zhao, Jia 20 Gong, Yuezheng 19 Wise, Steven M. 19 Yi, Lijun 19 Zhou, Tao 18 Li, Ruo 18 Mokhtary, Payam 18 Wang, Tianjun 18 Zhang, Jun 17 Chen, Wenbin 17 Li, Huiyuan 17 Lu, Zuliang 17 Shu, Chi-Wang 17 Wang, Qi 16 Bao, Weizhu 16 Guo, Ben-Yu 16 Zaky, Mahmoud A. 16 Zhang, Zhengru 15 Cai, Yongyong 15 Li, Dong 15 Liao, HongLin 15 Yang, Jiang 15 Yang, Xuehua 15 Zhang, Haixiang 14 Hu, Guanghui 14 Li, Xiao 13 An, Jing 13 Du, Qiang 13 Huang, Chengming 13 Jiang, Chaolong 13 Qian, Xu 13 Qiu, Wenlin 13 Song, Songhe 13 Sun, Shuyu 13 Xu, Chuanju 12 He, Yinnian 12 Huang, Weizhang 12 Karniadakis, George Em 12 Liu, Steve Wenbin 12 Mei, Liquan 12 Sun, Haiwei 12 Tohidi, Emran 12 Weng, Zhifeng 12 Zhai, Shuying 12 Zhu, Jun 11 Cai, Haotao 11 Fu, Hongfei 11 Kalita, Jiten C. 11 Liu, Fawang 11 Liu, Li-Bin 11 Liu, Wen-Jie 11 Long, Guangqing 11 Qiu, Jianxian 11 Wang, Hong 11 Wu, Boying 11 Zhang, Hong 10 Băleanu, Dumitru I. 10 Chen, Lizhen 10 Cheng, Qing 10 Diogo, Teresa 10 Guo, Shimin 10 Hendy, Ahmed S. 10 Hou, Dianming 10 Huang, Can 10 Leng, Haitao 10 Pishbin, Saeed 10 Quan, Chaoyu 10 Sheng, Changtao 10 Wu, Shulin 10 Xiao, Xufeng 10 Yi, Nianyu 10 Yu, Haijun 10 Zhang, Hui 10 Zhang, Pingwen 10 Zhao, Weidong 10 Zhou, Jianwei 10 Zhou, Zhaojie 9 Chen, Hongbin 9 Ge, Yongbin 9 Gu, Zhendong ...and 3,374 more Authors all top 5 Cited in 292 Serials 320 Journal of Computational Physics 262 Journal of Scientific Computing 218 Journal of Computational and Applied Mathematics 153 Applied Numerical Mathematics 121 Computers & Mathematics with Applications 112 Applied Mathematics and Computation 71 Numerical Algorithms 69 International Journal of Computer Mathematics 69 SIAM Journal on Scientific Computing 65 Computers and Fluids 54 Computational and Applied Mathematics 54 Communications in Computational Physics 52 Mathematics of Computation 51 SIAM Journal on Numerical Analysis 45 Computer Methods in Applied Mechanics and Engineering 45 Advances in Computational Mathematics 45 Advances in Applied Mathematics and Mechanics 39 Mathematics and Computers in Simulation 33 Communications in Nonlinear Science and Numerical Simulation 30 Numerical Methods for Partial Differential Equations 29 Applied Mathematical Modelling 28 Applied Mathematics Letters 27 Advances in Difference Equations 25 Journal of Applied Mathematics and Computing 25 East Asian Journal on Applied Mathematics 21 Science China. 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