Tang Tao | Academic Influence

Tang Tao's AcademicInfluence.com Rankings

Tang Tao

Mathematics

#6167

World Rank

#8590

Historical Rank

Group Theory

#139

World Rank

#169

Historical Rank

Number Theory

#264

World Rank

#333

Historical Rank

Algebra

#363

World Rank

#500

Historical Rank

mathematics Degrees

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Mathematics

Tang Tao's Degrees

Bachelors Mathematics Peking University
Masters Mathematics Peking University
PhD Mathematics Peking University

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Why Is Tang Tao Influential?

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According to Wikipedia, Tang Tao is a Chinese mathematician currently serving as President of BNU-HKBU United International College. Tang is a member of the Chinese Academy of Sciences., Fellow of the European Academy of Sciences. , Fellow of the The World Academy of Sciences for the advancement of science in developing countries . He is also a fellow of the Society for Industrial and Applied Mathematics and American Mathematical Society.

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Tang Tao's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Spectral Methods: Algorithms, Analysis and Applications (2011) (1057)
Spectral and High-Order Methods with Applications (2006) (455)
Stability Analysis of Large Time-Stepping Methods for Epitaxial Growth Models (2006) (307)
Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws (2003) (291)
Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems (2002) (264)
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel (2010) (263)
A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations (1995) (253)
Moving mesh methods in multiple dimensions based on harmonic maps (2001) (223)
On large time-stepping methods for the Cahn--Hilliard equation (2007) (209)
A finite difference scheme for partial integro-differential equations with a weakly singular kernel (1993) (176)
An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models (2011) (167)
The Hermite Spectral Method for Gaussian-Type Functions (1993) (151)
Moving Mesh Methods for Computational Fluid Dynamics (136)
A Moving Mesh Finite Element Algorithm for Singular Problems in Two and Three Space Dimensions (2002) (124)
Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems (1996) (123)
Spectral methods for weakly singular Volterra integral equations with smooth solutions (2009) (107)
A SPECTRAL METHOD FOR PANTOGRAPH-TYPE DELAY DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS * (2009) (105)
Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations (2014) (102)
Convergence Analysis of Spectral Galerkin Methods for Volterra Type Integral Equations (2012) (100)
A note on collocation methods for Volterra integro-differential equations with weakly singular kernels (1993) (96)
Numerical Analysis of Fully Discretized Crank–Nicolson Scheme for Fractional-in-Space Allen–Cahn Equations (2016) (96)
On the maximum principle preserving schemes for the generalized Allen–Cahn equation (2016) (95)
Long Time Numerical Simulations for Phase-Field Problems Using p-Adaptive Spectral Deferred Correction Methods (2015) (93)
Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle (2016) (92)
Spectral methods for pantograph-type differential and integral equations with multiple delays (2009) (90)
On steady flow past a rotating circular cylinder at Reynolds numbers 60 and 100 (1991) (88)
Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models (2013) (87)
Moving Mesh Finite Element Methods for the Incompressible Navier-Stokes Equations (2005) (86)
Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: analysis of convergence (2000) (84)
The sharpness of Kuznetsov's O D x L 1 -error estimate for monotone difference schemes (1995) (84)
On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations (2018) (82)
An Euler-type method for two-dimensional Volterra integral equations of the first kind (2000) (81)
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations (2019) (80)
Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations (1992) (78)
Moving mesh methods with locally varying time steps (2004) (78)
Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind (2012) (78)
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation (2013) (75)
Collocation methods for second-kind Volterra integral equations with weakly singular kernels (1994) (75)
A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations (2004) (74)
An adaptive mesh redistribution method for nonlinear Hamilton--Jacobi equations in two-and three-dimensions (2003) (71)
A Compact Fourth-Order Finite Difference Scheme for Unsteady Viscous Incompressible Flows (2001) (70)
Combined Hermite spectral-finite difference method for the Fokker-Planck equation (2002) (63)
A Hermite-Type Collocation Method for the Solution of an Integral Equation with a Certain Weakly Singular Kernel (1991) (61)
A NOTE ON JACOBI SPECTRAL-COLLOCATION METHODS FOR WEAKLY SINGULAR VOLTERRA INTEGRAL EQUATIONS WITH SMOOTH SOLUTIONS * (2013) (60)
Pointwise Error Estimates for Relaxation Approximations to Conservation Laws (2000) (55)
A Robust WENO Type Finite Volume Solver for Steady Euler Equations on Unstructured Grids (2011) (52)
A gas-kinetic scheme for shallow-water equations with source terms (2004) (49)
Viscosity methods for piecewise smooth solutions to scalar conservation laws (1997) (48)
On energy stable, maximum-principle preserving, second order BDF scheme with variable steps for the Allen-Cahn equation (2020) (47)
Error bounds for fractional step methods for conservation laws with source terms (1995) (45)
Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems (2001) (45)
Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed (2010) (45)
Second-order Godunov-type scheme for reactive flow calculations on moving meshes (2005) (44)
Pointwise Error Estimates for Scalar Conservation Laws with Piecewise Smooth Solutions (1999) (43)
Fast and stable explicit operator splitting methods for phase-field models (2015) (42)
Parallel in Time Algorithm with Spectral-Subdomain Enhancement for Volterra Integral Equations (2013) (41)
Steady two-dimensional flow through a row of normal flat plates (1990) (41)
Steady viscous flow in a triangular cavity by efficient numerical techniques (1996) (40)
A General Moving Mesh Framework in 3D and its Application for Simulating the Mixture of Multi-Phase Flows (2008) (39)
Numerical Solution of Differential Equations: Introduction to Finite Difference and Finite Element Methods (2017) (39)
Adaptive Mesh Redistibution Method Based on Godunov's Scheme (2003) (38)
A multilevel successive iteration method for nonlinear elliptic problems (2003) (37)
Efficient computation of dendritic growth with r-adaptive finite element methods (2008) (37)
Accuracy Enhancement Using Spectral Postprocessing for Differential Equations and Integral Equations (2008) (34)
Polynomial spline collocation methods for the nonlinear basset equation (1989) (33)
A simple moving mesh method for one-and two-dimensional phase-field equations (2006) (31)
On Discrete Least-Squares Projection in Unbounded Domain with Random Evaluations and its Application to Parametric Uncertainty Quantification (2014) (31)
A multi-mesh adaptive finite element approximation to phase field models (2009) (31)
Hermite spectral collocation methods for fractional PDEs in unbounded domains (2018) (31)
Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains (2019) (30)
High-Order Convergence of Spectral Deferred Correction Methods on General Quadrature Nodes (2013) (30)
Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws (2006) (30)
Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains (2019) (30)
Resolving the shock-induced combustion by an adaptive mesh redistribution method (2007) (29)
The numerical computation of connecting orbits in dynamical systems: a rational spectral approach (1994) (29)
An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation (2020) (29)
A fast high order method for electromagnetic scattering by large open cavities (2010) (29)
Comparison of pulmonary arterial flow phenomena in spiral and Lecompte models by computational fluid dynamics. (2001) (27)
Deferred Correction Methods for Forward Backward Stochastic Differential Equations (2017) (27)
An adaptive mesh redistribution algorithm for convection-dominated problems (2002) (27)
Product integration methods for an integral equation with logarithmic singular kernel (1992) (27)
Numerical Solutions for Weakly Singular Volterra Integral Equations Using Chebyshev and Legendre Pseudo-Spectral Galerkin Methods (2016) (26)
Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection (2020) (26)
How to Define Dissipation-Preserving Energy for Time-Fractional Phase-Field Equations (2020) (25)
Simulating Two-phase Viscoelastic Flows Using Moving Finite Element Methods (2009) (25)
The numerical analysis of implicit Runge-Kutta methods for a certain nonlinear integro-differential equation (1990) (25)
Galerkin Methods for Stochastic Hyperbolic Problems Using Bi-Orthogonal Polynomials (2012) (24)
Convergence Analysis for Operator-Splitting Methods Applied to Conservation Laws with Stiff Source Terms (1998) (23)
Gas-kinetic schemes for the compressible Euler equations : Positivity-preserving analysis (1999) (22)
A Volterra integral type method for solving a class of nonlinear initial‐boundary value problems (1996) (22)
Supergeometric convergence of spectral collocation methods for weakly singular Volterra and fredholm integral equations with smooth solutions (2011) (21)
Level Set Calculations for Incompressible Two-Phase Flows on a Dynamically Adaptive Grid (2007) (20)
Error Analysis of a Mixed Finite Element Method for the Molecular Beam Epitaxy Model (2015) (18)
Adaptive moving grid methods for two-phase flow in porous media (2014) (18)
A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids (2010) (18)
Moving finite element simulations for reaction-diffusion systems (2012) (18)
An Efficient Gradient Projection Method for Stochastic Optimal Control Problems (2017) (17)
A FINITE DIFFERENCE SCHEME FOR SOLVING THE NONLINEAR POISSON-BOLTZMANN EQUATION MODELING CHARGED SPHERES 1) (2006) (16)
A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries (1996) (15)
Moving Mesh Methods for Singular Problems on a Sphere Using Perturbed Harmonic Mappings (2006) (14)
Stability of the semi-implicit method for the Cahn-Hilliard equation with logarithmic potentials (2021) (14)
A spectral method for the numerical solutions of a kinetic equation describing the dispersion of small particles in a turbulent flow (1992) (13)
Steady two-dimensional flow past a normal flat plate (1991) (12)
Positive definiteness of real quadratic forms resulting from the variable-step approximation of convolution operators (2020) (12)
Numerical Energy Dissipation for Time-Fractional Phase-Field Equations (2020) (12)
Dispersion and Group Velocity in Numerical Schemes for Three-Dimensional Hydrodynamic Equations (1993) (12)
Recent advances in scientific computing and partial differential equations : international conference on the occasion of Stanley Osher's 60th birthday, December 12-15, 2002, Hong Kong Baptist University, Hong Kong (2003) (12)
Convergence of MUSCL Relaxing Schemes to the Relaxed Schemes for Conservation Laws with Stiff Source Terms (2000) (10)
Moving mesh finite element methods based on harmonic maps (2001) (10)
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation (2021) (10)
On Mixed Error Estimates for Elliptic Obstacle Problems (2001) (10)
Efficient Stochastic Galerkin Methods for Maxwell’s Equations with Random Inputs (2019) (9)
Orthogonal Polynomials and Related Approximation Results (2011) (9)
Pseudospectral solutions for steady motion of a viscous fluid inside a circular boundary (2000) (9)
Dynamic Traffic Prediction with Adaptive Sampling for 5G HetNet IoT Applications (2019) (9)
A FAST NUMERICAL METHOD FOR INTEGRAL EQUATIONS OF THE FIRST KIND WITH LOGARITHMIC KERNEL USING MESH GRADING ∗1) (2004) (9)
An adaptive time stepping method with efficient error control for second-order evolution problems (2013) (9)
The sharpness of Kuznetsov’s $O(\sqrt{\Delta x})\ L\sp 1$-error estimate for monotone difference schemes (1995) (9)
CONVERGENCE ANALYSIS FOR SPECTRAL APPROXIMATION TO A SCALAR TRANSPORT EQUATION WITH A RANDOM WAVE SPEED (2012) (8)
WebIntera-classroom: an interaction-aware virtual learning environment for augmenting learning interactions (2017) (8)
Blowup of Volterra Integro-Differential Equations and Applications to Semi-Linear Volterra Diffusion Equations (2017) (8)
Regularity and global structure of solutions to Hamilton-Jacobi equations I. Convex Hamiltonians (2008) (8)
Staggered Turkel-Zwas Schemes for Two-Dimensional Shallow-Water Equations (1994) (7)
Simulating three-dimensional free surface viscoelastic flows using moving finite difference schemes (2010) (7)
A new discrete energy technique for multi-step backward difference formulas (2021) (7)
Error Estimates of Approximate Solutions for Nonlinear Scalar Conservation Laws (2001) (6)
Revisit of Semi-Implicit Schemes for Phase-Field Equations (2020) (5)
ON EFFECTIVE NUMERICAL METHODS FOR PHASE-FIELD MODELS (2019) (5)
A Speed-Up Strategy for Finite Volume WENO Schemes for Hyperbolic Conservation Laws (2011) (5)
Numerical Blow-Up of Nonlinear Parabolic Integro-Differential Equations on Unbounded Domain (2016) (5)
MOVING MESH FINITE ELEMENT APPROXIMATIONS FOR VARIATIONAL INEQUALITY I: STATIC OBSTACLE PROBLEM (2000) (5)
Optimal convergence of an Euler and finite difference method for nonlinear partial integro-differential equations (1995) (5)
Pointwise convergence rate for nonlinear conservation laws (1999) (4)
Multigrid solutions of steady two-dimensional flow past a cascade of sudden expansions (1992) (4)
The proof of an inequality arising in a reaction-diffusion study in a small cell (1994) (4)
Stability analysis for the Implicit-Explicit discretization of the Cahn-Hilliard equation (2020) (4)
Context Based Educational Java Applets Using Consumer Products (2000) (4)
On the Regularity of Approximate Solutions to Conservation Laws with Piecewise Smooth Solutions (2000) (4)
Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations (2022) (4)
Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind (2012) (3)
Efficient computation of dentritic growth with r-adaptive finite element methods (2008) (3)
Dynamic Modeling and Numerical Simulation of Electrorheological Fluids Based on Lattice Boltzmann Method (2014) (3)
Numerical Solutions for Weakly Singular Volterra Integral Equations Using Chebyshev and Legendre Pseudo-Spectral Galerkin Methods (2015) (3)
Applications in Multi-Dimensional Domains (2011) (3)
ON THE PIECEWISE SMOOTHNESS OF ENTROPY SOLUTIONS TO SCALAR CONSERVATION LAWS FOR A LARGER CLASS OF INITIAL DATA (2007) (3)
Numerical Analysis of Fully Discretized Crank–Nicolson Scheme for Fractional-in-Space Allen–Cahn Equations (2017) (3)
A TWO-STAGE APPROACH FOR FREQUENCY RESPONSE MODELING AND METAMATERIAL RAPID DESIGN (2017) (3)
A decreasing upper bound of energy for time-fractional phase-field equations (2022) (2)
Separable Multi-Dimensional Domains (2011) (2)
Asymptotic Analysis on the Sharp Interface Limit of the Time-Fractional Cahn-Hilliard Equation (2021) (2)
Spectral Methods for Second-Order Two-Point Boundary Value Problems (2011) (1)
On the Piecewise Smooth Solutions to Non-homogeneous Scalar Conservation Laws (2001) (1)
Numerical analysis for functional differential and integral equations (2009) (1)
CONVERGENCE ANALYSIS OF RELAXATION SCHEMES FOR CONSERVATION LAWS WITH STIFF SOURCE TERMS (2001) (1)
Spline Galerkin Methods for the Sherman-Lauricella Equation on Contours with Corners (2015) (1)
Arbitrarily High Order and Fully Discrete Extrapolated RK–SAV/DG Schemes for Phase-field Gradient Flows (2022) (1)
Numerical study of steady flow past a rotating circular cylinder (1989) (1)
Finite Element Methods for 1D Boundary Value Problems (2017) (1)
Resolving Small-scale Structures in Two-dimensional Boussinesq Convection by Spectral Methods with High Resolutions (2005) (1)
Sharp convergence to steady states of Allen-Cahn (2021) (1)
The Research to the De-Noising Method for the Vibration Signals Based on EEMD (2014) (1)
Convergence Analysis for Operator Splitting Methods to Conservation Laws with Stii Source Terms (1996) (1)
Resolving small-scale structures in Boussinesq convection by adaptive grid methods (2006) (1)
Fourier Spectral Methods for Periodic Problems (2011) (1)
Energy Plus Maximum Bound Preserving Runge–Kutta Methods for the Allen–Cahn Equation (2022) (0)
Theoretical Foundations of the Finite Element Method (2017) (0)
Application of Wavelet Transforms Method to Infrared Image Enhancement (2013) (0)
FAST FOURIER-LIKE MAPPED CHEBYSHEV (2020) (0)
A Moving Mesh Algorithm for One-Dimensional Nonlinear Hyperbolic Conservation Laws (2000) (0)
High-Order Convergence of Spectral Deferred Correction Methods on General Quadrature Nodes (2012) (0)
Energy dissipation of Strang splitting for Allen-Cahn (2021) (0)
Special Issue for SCPDE11 Preface (2012) (0)
Higher-Order Differential Equations (2011) (0)
Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations (2010) (0)
Efficient SVV stabilized triangular spectral element methods for incompressible flows of high Reynolds numbers (2022) (0)
Finite Difference Methods for 1D Boundary Value Problems (2017) (0)
FOR PIECEWISE SMOOTH SOLUTIONS TO SCALAR CONSERVATION LAWS (1997) (0)
SP-094: Methods for automatic planning (2019) (0)
Efficient Stochastic Galerkin Methods for Maxwell’s Equations with Random Inputs (2019) (0)
Efficient SVV stabilized triangular spectral element methods for incompressible flows of high Reynolds numbers (2022) (0)
The Finite Element Method for 2D Elliptic PDEs (2017) (0)
Scattering Prediction from Data of Scale Model Based on Regression Method in SPSS (2019) (0)
Finite Difference Methods for Hyperbolic PDEs (2017) (0)
Issues of the FE Method in One Space Dimension (2017) (0)
Pointwise error estimates for scalar conservation laws withpiecewise smooth solutionsEitan Tadmor (2007) (0)
Volterra Integral Equations (2011) (0)
COMPUTATIONAL FLUID DYNAMICS WITH MESH ADAPTIVITY * (2007) (0)
Unconditionally energy decreasing high-order Implicit-Explicit Runge-Kutta methods for phase-field models with the Lipschitz nonlinearity (2022) (0)
COMPUTATIONAL FLUID DYNAMICS WITH MESH ADAPTIVITY (Discretization Methods and Numerical Algorithms for Differential Equations) (2002) (0)
On a Moving Boundary Solution to the Fokker-Planck Equation for Particle Transport in Turbulent Flows with Absorbing Boundaries (1991) (0)
REGULARITY AND GLOBAL STRUCTURE OF SOLUTIONS TO HAMILTON–JACOBI EQUATIONS II:CONVEX INITIAL DATA (2009) (0)
FD Methods for Parabolic PDEs (2017) (0)
On Robust and Adaptive Finite Volume Methods for Steady Euler Equations (2016) (0)
Bifurcation Behavior of a Modified Kuramoto-Sivashinsky Equation in Two-Dimensional Spatial Domain (2014) (0)
Superconvergence of monotone difference schemes for piecewise smooth solutions of convex conservation laws (2007) (0)
Analysis of Influence Factors in Step Heating Thermography to Composite Materials (2013) (0)
Convergence Analysis of Spectral Galerkin Methods for Volterra Type Integral Equations (2012) (0)
An adaptive time stepping method with efficient error control for second-order evolution problems (2013) (0)
On Symmetry Breaking of Allen-Cahn (2021) (0)
Finite Difference Methods for 2D Elliptic PDEs (2017) (0)
The Study of Dynamic Equations of ER Fluids Based on Multi-Field Coupling (2013) (0)
Galerkin Methods for Stochastic Hyperbolic Problems Using Bi-Orthogonal Polynomials (2011) (0)
Numerical Blow-Up of Nonlinear Parabolic Integro-Differential Equations on Unbounded Domain (2016) (0)

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