1. Y. Feng, Lei Li, J.-G. Liu and T. Tang,
   Some Gronwall inequalities for a class of discretizations of time fractional equations on nonuniform meshes, To appear in SIAM Journal on Numerical Analysis, 2024.


2. Zhaohui Fu, Tao Tang and Jiang Yang
   Energy diminishing implicit-explicit Runge-Kutta methods for gradient flows, To appear in Mathematics of Computation 2024.


3. Honglin Liao, Tao Tang and Tao Zhou
   Postive definiteness of real quadratic forms resulting for the variable-step approximations of convolution operators, Sci. China Math. 67, 237-252 (2024). (pdf)


4. Honglin Liao, Tao Tang and Tao Zhou
   Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations, BIT Numer. Anal., 63, 39 (2023).


5. Zhiwei Gao, Tao Tang, Liang Yan & Tao Zhou
   Failure-Informed Adaptive Sampling for PINNS, Part II: Combining with Re-sampling and Subset Simulation., Commun. Appl. Math. Comput. (2023). (pdf)


6. Dianming Hou, Zhonghua Qiao & Tao Tang
   Fast High Order and Energy Dissipative Schemes with Variable Time Steps for Time-Fractional Molecular Beam Epitaxial Growth Model, Ann. Appl. Math, 39 (2023) pp. 429-461.


7. Chaoyu Quan, Tao Tang, Boyi Wang & Jiang Yang
   A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations, Communications in Computational Physics. 33 (2023) pp. 962-991.


8. Honglin Liao, Tao Tang and Tao Zhou
   Discrete energy analysis of the third order variable-step BDF scheme for diffusion equations, J. Comput. Math., 4`1 (2023), pp.325-344.


9. Tang, T., Wu, X., & Yang.J.
   Arbitrarily High Order and Fully Discrete Extrapolated Rk-SAV/DG Schemes for Phase-field Gradient Flows, J Sci Comput., 93, 38 (2022). (pdf)


10. Dong Li, Chaoyu Quan, and T. Tang
    Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation, Mathematics of Computation, 91 (2022), pp. 785-809.


11. Dong Li, Chaoyu Quan, T. Tang and Wen Yang,
    On symmetry breaking of Allen-Cahn, CSIAM Trans. Appl. Math., 3 (2022), pp. 221-243. (pdf)


12. Hong-lin Liao, T. Tang, Tao Zhou,
    A new discrete energy technique for multi-step backward difference formulas, CSIAM Trans. Appl. Math., 3 (2022), pp. 318-334. (pdf)


13. T. Tang, Boyi Wang and Jiang Yang,
    Asymptotic analysis on the sharp interface limit of the time-fractional Cahn-Hilliard equation, SIAM J. Applied Math., 82 (2022), pp. 773-792. (pdf)


14. Dong Li and Tao Tang
    Stability of the Semi-Implicit Method for the Cahn-Hilliard Equation with Logarithmic Potentials, Ann. Appl. Math., 37 (2021), pp. 31-60. (pdf)


15. Hong-lin Liao, Tao Tang and Tao Zhou
    An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation, SIAM J. Sci. Comput., 43(5) (2021), A3503–A3526. (pdf)


16. Hong-lin Liao, Xuehua Song, Tao Tang and Tao Zhou
    Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection, Sci China Math, 64 (2021), pp. 887–902,. https://doi.org/10.1007/s11425-020-1817-4 (pdf)


17. Hong-lin Liao, Tao Tang and Tao Zhou
    On energy stable, maximum-principle preserving, second order BDF scheme with variable steps for the Allen-Cahn equation, SIAM J. Numer. Anal. 58-4 (2020), pp. 2294-2314. (pdf)


18. Hong-lin Liao, Tao Tang and Tao Zhou
    A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations, J. Comput. Phys. 414 (2020): 109473. (pdf)


19. Chaoyu Quan, T. Tang and Jang Yang,
    How to Define Dissipation-Preserving Energy for Time-Fractional Phase-Field Equations, CSIAM Transactions on Applied Mathematics 1(2020), pp. 478-490. (pdf)


20. Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang and Huifang Yuan
    Fast Fourier-like mapped Chebyshev Spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains. SIAM J. Numer. Anal. (2020), pp. 2435-2464. (pdf)


21. Tao Tang
    Revisit of Semi-Implicit Schemes for Phase-Field Equations, Anal. Theory Appl., 36(3) (2020), 235-242. (pdf)


22. Tao Tang and Zhonghua Qiao
    Efficient numerical methods for phase-field equations, Science Sinica Mathematica, 50(6) (2020), 1-20. (pdf)


23. Tao Tang, Lilian Wang, Huifang Yuan, and Tao Zhou
    Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains, SIAM J. Sci. Comput., 42(2) (2020), A585-A611. (pdf)


24. Zhiwei Fang, Jichun Li, Tao Tang and Tao Zhou,
    Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs, J. Sci. Comput., 80(1) (2019), 248-267. (pdf)


25. T. Tang,
    On effective numerical methods for phase-field models, Proceedings of the International Congress of Mathematicians, (ICM 2018), pp. 3669-3690 (2019). https://doi.org/10.1142/9789813272880_0196 (PDF)


26. Tao Tang, Haijun Yu and Tao Zhou,
    On energy dissipation theory and numerical stability for time-fractional phase field equations, SIAM J. Sci. Comput. , 41(6) (2019), A3757-3778. (pdf)


27. Guanghui Hu, Xucheng Meng and Tao Tang,
    On Robust and Adaptive Finite Volume Methods for Steady Euler Equations, in "Theory, Numerics and Applications of Hyperbolic Problems II", Springer, 2018, pp. 1-19. (pdf)


28. T. Tang and J. Yang,
    Computing the maximal eigenpairs of large size tridiagonal matrices with O(1) number of iterations, Numer. Math. Theor. Meth. Appl. 11(4) (2018), 877-894. (pdf)


29. T. Tang, H. Yuan and T. Zhou,
    Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains, 10.4208/cicp.2018.hh80.12 Commun. Comput. Phys., 24 (2018), 1143-1168. (pdf)


30. B. Gong, W. Liu, T. Tang, W. Zhao, and T. Zhou,
    An efficient gradient projection method for Stochastic optimal control problems, SIAM J. Numer. Anal. 55(6) (2017), 2982-3005. (pdf)


31. T. Hou, T. Tang and J. Yang,
    Numerical analysis of fully discretized Crank--Nicolson scheme for fractional-in-space Allen-Cahn equations, J. Sci. Comput., 72 (2017), 1214–1231.


32. X. Li, Z. Qiao and T. Tang,
    Gradient bounds for a thin film epitaxy equation, J. Diff. Eqns. 262 (2017), 1720-1746. (pdf)


33. T. Tang, W. Zhao and T. Zhou
    Deferred correction methods for forward backward Stochastic differential equations, Numer. Math. Theor. Meth. Appl. 10(2) (2017), 222-242. (pdf)


34. Z. Yang, T. Tang and J. Zhang
    Blowup of Volterra Integro-Differential Equations and Applications to Semi-Linear Volterra Diffusion Equations, Numer. Math. Theor. Meth. Appl. 10(4) (2017), 737-759. (pdf)


35. H. Brunner, T. Tang and J. Zhang,
    Numerical blow-up of semilinear parabolic integro-differential equations on unbounded domain, J. Sci. Comput. 68 (2016), 1281-1298. (pdf)


36. D. Li, Z. Qiao, and T. Tang,
    Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations, SIAM J. Numer. Anal. 54(3) (2016), 1653-1681. (pdf)


37. X. Li, T. Tang and C. Xu,
    Numerical solutions for weakly singular volterra integral equations using Chebyshev and Legendre pseudo-spectral Galerkin methods, J. Sci. Comput. 67 (2016), 43–64. (pdf)


38. F. Luo, T. Tang and H. Xie,
    Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation, Commu. Comput. Phys. 19 (2016), 1542-1563. (pdf)


39. J. Shen, T. Tang, and J. Yang,
    On The Maximum Principle Preserving Schemes For The Generalized Allen-Cahn Equation, Commu. Math. Sci. 14(6) (2016), 1517-1534. (pdf)


40. T. Tang, and J. Yang,
    Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle, J. Comp. Math. 34 (2016), 471-481. (pdf)


41. Y. Cheng, A. Kurganov, Z. Qu and T. Tang,
    Fast and stable explicit operator splitting methods for phase-field models, J. Comput. Phys. 303 (2015), 45-65. (pdf)


42. V. D. Didenko, T. Tang and A. M. Vu,
    Spline Galerkin methods for the Sherman-Lauricella equation on contours with corners, SIAM J. Numer. Anal. 53(6) (2015), 2752-2770. (pdf)


43. X. Feng, T. Tang and J. Yang,
    Long time numerical simulations for phase-field problems using p-adaptive spectral deferred correction methods, SIAM J. Sci. Comput. 37 (2015), A271-A294. (pdf)


44. Z. Qiao, T. Tang and H. Xie
    Error analysis of a mixed finite element method for the molecular beam epitaxy model, SIAM J. Numer. Anal. 53 (2015), 184-205. (pdf)


45. T. Tang and T. Zhou
    Recent developments in high order numerical methods for uncertainty quantification, (in Chinese), Sci. Sin. Math. 45 (2015), 891–928. (pdf)


46. H. Dong, Z-H Quiao, S-Y Sun, and T. Tang,
    Adaptive moving grid methods for two-phase flow in porous media, J. Comput. Appl. Math. 265 (2014), 139-150. (pdf)


47. T. Tang and T. Zhou,
    On discrete least square projection in unbounded domain with random evaluations and its application to parametric uncertainty quantification, SIAM J. Sci. Comput. 36(5) 2014, A2272-A2295. (pdf)


48. Y. Chen, X. Li, and T. Tang,
    A note on Jacobi spectral-collocation methods for weakly singular volterra integral equations with smooth solutions, J. Comput. Math. 31 (2013), 47-56. (pdf)


49. X. Feng, H. Song, T. Tang, and J. Yang,
    Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation, Inverse Problems and Imaging (A special issue in honor of Tony Chan's 60th birthday) 7 (2013), 679-695. (pdf)


50. X. Feng, T. Tang, and J. Yang,
    Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models, East Asian Journal on Applied Mathematics 3 (2013), no. 1, 59-80. (pdf)


51. J. Huang, J. Lai, and T. Tang,
    An adaptive time stepping method with efficient error control for second-order evolution problems, Science China Mathematics 56 (2013), no. 12, 2735-2771. (pdf)


52. X.-J. Li, T. Tang, and C.-J. Xu,
    Parallel in time algorithm with spectral-subdomain enhancement for volterra integral equations, SIAM J. Numer. Anal. 51 (2013), no. 3, 1735-1756. (pdf)


53. T. Tang, H. Xie, and X. Yin,
    High-order convergence of spectral deferred correction methods on general quadrature nodes, J. Sci. Comput. 56 (2013), no. 1, 1-13. (pdf)


54. G. Hu, Z. Qiao, and T. Tang,
    Moving finite element simulations for reaction-diffusion systems, Adv. Appl. Math. Mech. 4 (2012), no. 3, 365-381. (pdf)


55. X.-J. Li and T. Tang,
    Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind, Front. Math. China 7 (2012), 69-84. (pdf)


56. Z.-Q. Xie, X.-J. Li, and T. Tang,
    Convergence analysis of spectral Galerkin methods for Volterra type integral equations, J. Sci. Comput. 53 (2012), no. 2, 414-434. (pdf)


57. Tao Zhou and Tao Tang,
    Galerkin methods for stochastic hyperbolic problems using bi-orthogonal polynomials, J. Sci. Comput. 51 (2012), 274-292. (pdf)


58. T. Zhou and T. Tang,
    Convergence analysis for spectral approximation to a scalar transport equation with a random wave speed, J. Comput. Math. 30 (2012), 643-656. (pdf)


59. Guanghui Hu, Ruo Li, and Tao Tang,
    A robust WENO type finite volume solver for steady Euler equations on unstructured grids, Commun. Comput. Phys. 9 (2011), 627-648. (pdf)


60. Can Huang, Tao Tang, and Zhimin Zhang,
    Supergeometric convergence of spectral collocation methods for weakly singular Volterra and Fredholm integral equations with smooth solutions, J. Comput. Math. 29 (2011), 698-719. (pdf)


61. Zhonghua Qiao, Zhengru Zhang, and Tao Tang,
    An adaptive time-stepping strategy for the molecular beam epitaxy models, SIAM J. Sci. Comput. 33 (2011), 1395-1414. (pdf)


62. Fei Teng, Li Yuan, and Tao Tang,
    A speed-up strategy for finite volume WENO schemes for hyperbolic conservation laws, J. Sci. Comput. 46 (2011), 359-378. (pdf)


63. Yubo Zhang and T. Tang,
    Simulating three-dimensional free surface viscoelastic flows using moving finite difference schemes, Numer. Math. Theor. Meth. Appl 4 (2011), 92-112. (pdf)


64. Meiling Zhao, Zhonghua Qiao, and Tao Tang,
    A fast high order method for electromagnetic scattering by large open cavities, J. Comput. Math. 29 (2011), 287-304. (pdf)


65. Yanping Chen and T. Tang,
    Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel, Math. Comp. 79 (2010), 147-167. (pdf)


66. G.-H. Hu, R. Li, and T. Tang,
    A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids, J. Comput. Phys. 229 (2010), 1681-1697. (pdf)


67. T. Tang and Tao Zhou,
    Convergence analysis for stochastic collocation methods to scalar hyperbolic equations with a random wave speed, Commun. Comput. Phys. 8 (2010), 226-248. (pdf)


68. Yubo Zhang, Heyu Wang, and Tao Tang,
    Simulating two-phase viscoelastic flows using moving finite element methods, Commun. Comput. Phys. 7 (2010), 333-349. (pdf)


69. Tao Zhou and Tao Tang,
    Note on coefficient matrices from Stochastic Galerkin methods for random diffusion equations, J. Comput. Phys. 229 (2010), no. 22, 8225-8230. (pdf)


70. Ishtiaq Ali, Hermann Brunner, and Tao Tang,
    A spectral method for pantograph-type delay differential equations and its convergence analysis, J. Comput. Math. 27 (2009), 254-265. (pdf)


71. Ishtiaq Ali, H. Brunner, and T. Tang,
    Spectral methods for pantograph-type differential and integral equations with multiple delays, Front. Math. China 4 (2009), 49-61. (pdf)


72. Yanping Chen and Tao Tang,
    Spectral methods for weakly singular Volterra integral equations with smooth solutions, J. Comput. Appl. Math. 233 (2009), 938-950. (pdf)


73. T. Tang and Xiang Xu,
    Accuracy enhancement using spectral postprocessing for differential equations and integral equations, Commun. Comput. Phys. 5 (2009), 779-792. (pdf)


74. Yinchuan Zhao, T. Tang, and Jinghua Wang,
    Regularity and global structure of solutions to Hamilton-Jacobi equations II. Convex initial data, J. Hyperbol. Differ. Eq. 6 (2009), no. 4, 709-723.


75. Y. Di, R. Li, and T. Tang,
    A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows, Commun. Comput. Phys. 3 (2008), 582-603. (pdf)


76. Jingtang Ma and T. Tang,
    Error analysis for a fast numerical method to a boundary integral equation of the first kind, J. Comput. Math. 26 (2008), 56-68. (pdf)


77. T. Tang, Xiang Xu, and Jin Cheng,
    On spectral methods for Volterra type integral equations and the convergence analysis, J. Comput. Math. 26 (2008), 825-837. (pdf)


78. H. Wang, R. Li, and T. Tang,
    Efficient computation of dentritic growth with r-adaptive finite element methods, J. Comput. Phys. 227 (2008), 5984-6000. (pdf)


79. Y. Zhao, T. Tang, and J. Wang,
    Regularity and global structure of solutions to Hamilton-Jacobi equations I. Convex Hamiltonian, J. Hyperbol. Differ. Eq. 5 (2008), 663-680. (pdf)


80. Y. Di, R. Li, T. Tang, and P. Zhang,
    Level set calculations for incompressible two-phase flows on a dynamically adaptive grid, J. Sci. Comput. 31 (2007), no. 1-2, 75-98. (pdf)


81. Yinnian He, Yunxian Liu, and T. Tang,
    On large time-stepping methods for the Cahn-Hilliard equation, Appl. Numer. Math. 57 (2007), 616-628. (pdf)


82. T. Tang and Z. H. Teng,
    Superconvergence of monotone difference schemes for piecewise smooth solutions of convex conservation laws, Hokkaido Math. J. 36 (2007), 849-874. (pdf)


83. T. Tang, J. Wang, and Y. Zhao,
    On the piecewise smoothness of entropy solutions to scalar conservation laws for a large class of initial data, J. Hyperbol. Differ. Eq. 4 (2007), no. 3, 369-389. (pdf)


84. L. Yuan and T. Tang,
    Resolving the shock-induced combustion by an adaptive mesh redistribution method, J. Comput. Phys. 224 (2007), 587-600. (pdf)
    
    
85. Yana Di, Ruo Li, T. Tang, and Pingwen Zhang,
    Moving mesh methods for singular problems on a sphere using perturbed harmonic mappings, SIAM J. Sci. Comput. 28 (2006), 1490-1508. (pdf)


86. R. Li and T. Tang,
    Moving mesh discontinuous Galerkin method for hyperbolic conservation laws, J. Sci. Comput. 27 (2006), 347-363. (pdf)


87. Zhonghua Qiao, Zhilin Li, and T. Tang,
    A finite difference scheme for solving the nonlinear Poisson-Boltzmann equation modeling charged spheres, J. Comput. Math. 24 (2006), 252-264. (pdf)


88. Z. Tang, T. Tang, and Z. Zhang,
    A simple moving mesh method for one- and two-dimensional phase-field equations, J. Comput. Appl. Math. 190 (2006), 252-269. (pdf)


89. Chuanju Xu and T. Tang,
    Stability analysis of large time-stepping methods for epitaxial growth models, SIAM J. Numer. Anal. 44 (2006), 1759-1779. (pdf)


90. Z. R. Zhang and T. Tang,
    Resolving small-scale structures in Boussinesq convection by adaptive grid methods, J. Comput. Appl. Math. 195 (2006), 274-291. (pdf)


91. Boris N. Azarenok and T. Tang,
    Second-order Godunov-type scheme for reactive flow calculations on moving meshes, J. Comput. Phys. 206 (2005), 48-80. (pdf)


92. Yana Di, Ruo Li, T. Tang, and Pingwen Zhang,
    Moving mesh finite element methods for the incompressible Navier-Stokes equations, SIAM J. Sci. Comput. 26 (2005), 1036-1056. (pdf)


93. H. P. Ma, W. W. Sun, and T. Tang,
    Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains, SIAM J. Numer. Anal. 43 (2005), no. 1, 58-75. (pdf)


94. Z. Yin, Li Yuan, and T. Tang,
    A new parallel strategy for two-dimensional incompressible flow simulations using pseudo-spectral methods, J. Comput. Phys. 210 (2005), 325-341. (pdf)


95. Q. Y. Chen, T. Tang, and Z. H. Teng,
    A fast numerical method for integral equations of the first kind with logarithmic kernel using mesh grading, J. Comput. Math. 22 (2004), no. 2, 287-298. (pdf)


96. Y. Q. Huang, Zhong-Ci Shi, T. Tang, and W. M. Xue,
    A multilevel successive iteration methods for nonlinear elliptic problems, Math. Comp. 73 (2004), no. 246, 525-539. (pdf)


97. W.-B. Liu, H.-P. Ma, T. Tang, and N. Yan,
    A posteriori error estimates for DG time-stepping method for optimal control problems governed by parabolic equations, SIAM J. Numer. Anal. 42 (2004), no. 3, 1032-1061. (pdf)


98. Z.-J. Tan, Z.-R. Zhang, Y.-Q. Huang, and T. Tang,
    Moving mesh methods with locally varying time steps, J. Comput. Phys. 200 (2004), 347-367. (pdf)


99. H. Z. Tang, T. Tang, and K. Xu,
    A gas-kinetic scheme for shallow-water equations with source terms, Z. Angew. Math. Phys. 55 (2004), 365-382. (pdf)


100. Boris N. Azarenok, Sergey A. Ivanenko, and T. Tang,
     Adaptive mesh redistribution method based on Godunov's scheme, Comm. Math. Sci. 1 (2003), no. 1, 152-179. (pdf)


101. W. Sun, T. Tang, Michael J. Ward, and J. Wei,
     Numerical challenges for resolving spike dynamics for two one-dimensional reaction-diffusion systems, Stud. Appl. Math. 111 (2003), no. 1, 41-84. (pdf)


102. H.-Z. Tang and T. Tang,
     Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws, SIAM J. Numer. Anal. 41 (2003), no. 2, 487-515. (pdf)


103. H.-Z. Tang, T. Tang, and P.-W. Zhang,
     An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three dimensions, J. Comput. Phys. 188 (2003), no. 2, 543-572. (pdf)


104. T. Tang, Z.-H. Teng, and Z.-P. Xin,
     Fractional rate of convergence for viscous approximation to nonconvex conservation laws, SIAM J. Math. Anal. 35 (2003), no. 1, 98-122. (pdf)


105. Johnson C. M. Fok, B.-Y. Guo, and T. Tang,
     Combined Hermite spectral-finite difference method for the Fokker-Planck equations, Math. Comp. 71 (2002), 1497-1528. (pdf)


106. R. Li, W.-B. Lin, H. P. Ma, and T. Tang,
     Adaptive finite element approximation for distributed elliptic optimal control problems, SIAM J. Control Optim. 41 (2002), 1321-1349. (pdf)


107. R. Li, T. Tang, and P.-W. Zhang,
     A moving mesh finite element algorithm for singular problems in two and three space dimensions, J. Comput. Phys. 177 (2002), 365-393. (pdf)


108. Z. Zhang and T. Tang,
     An adaptive mesh redistribution algorithm for convection-dominated problems, Comm. Pure Appl. Anal. 1 (2002), no. 3, 341-357. (pdf)


109. Y. X. Kan, T. Tang, and Z.-H. Teng,
     On the piecewisely smooth solutions to non-homogeneous scalar conservation laws, J. Differential Equations 175 (2001), 27-50. (pdf)


110. M. Li and T. Tang,
     A compact fourth-order finite difference scheme for unsteady viscous incompressible flows, J. Sci. Comput. 16 (2001), 29-46. (pdf)


111. R. Li, T. Tang, and P.-W. Zhang,
     Moving mesh methods in multiple dimensions based on harmonic maps, J. Comput. Phys. 170 (2001), 562-588. (pdf)


112. W.-B. Liu, H. P. Ma, and T. Tang,
     On mixed error estimates for elliptic obstacle problems, Adv. Comput. Math. 15 (2001), 261-283. (ps)


113. W.-B. Liu and T. Tang,
     Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems, Appl. Numer. Math. 38 (2001), 315-345. (pdf)


114. H.-Z. Tang, T. Tang, and J.-H. Wang,
     On numerical entropy inequalities for second order relaxed scheme, Quart. of Appl. Math. 59 (2001), 391-399. (ps)


115. T. Tang, Z.-H. Teng, and J.-H. Wang,
     Convergence analysis of relazation schemes for conservation laws with stiff source terms, Methods and Applications of Analysis 8 (2001), 667-680. (pdf)


116. T. Tang, W. M. Xue, and P. W. Zhang,
     Analysis of moving mesh methods based on geometrical variables, J. Comput. Math. 19 (2001), 41-54. (pdf)


117. W. Z. Huang and T. Tang,
     Pseudospectral solutions for steady motion of a viscous fluid inside a circular boundary, Appl. Numer. Math. 33 (2000), 167-173. (pdf)


118. S. McKee, T. Tang, and T. Diogo,
     An Euler-type method for two-dimensional Volterra integral equations of the first kind, IMA J. Numer. Anal. 20 (2000), 423-440. (ps)


119. Y. Qiu, D. M. Sloan, and T. Tang,
     Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: analysis of convergence, J. Comput. Appl. Math. 116 (2000), 121-143. (ps)


120. E. Tadmor and T. Tang,
     Pointwise error estimates for relaxation approximations to conservation laws, SIAM J. Math. Anal. 32 (2000), 870-886. (ps)


121. T. Tang and Z.-H. Teng,
     On the regularity of approximate solutions to conservation laws with piecewise smooth solutions, SIAM J. Numer. Anal. 38 (2000), 1483-1495. (pdf)


122. T. Tang and J.-H. Wang,
     Convergence of MUSCL relaxing schemes to the relaxed schemes for conservation laws with stiff source terms, J. Sci. Comput. 15 (2000), 173-196.(ps)


123. E. Tadmor and T. Tang,
     Pointwise error estimates for scalar conservation laws with piecewise smooth solutions, SIAM J. Numer. Anal. 36 (1999), 1739-1758. (ps)


124. T. Tang and K. Xu,
     Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis, Z. Angew. Math. Phys. 50 (1999), 258-281. (pdf)


125. T. Tang,
     Convergence analysis for operator splitting methods to conservation laws with stiff source terms, SIAM J. Numer. Anal. 35 (1998), 1939-1968. (ps)


126. T. Tang and Z. H. Teng,
     Viscosity methods for piecewise smooth solutions to scalar conservation laws, Math. Comp. 66 (1997), 495-526. (ps)


127. B. Jumarhon, W. Lamb, S. McKee, and T. Tang,
     A Volterra integral type method for solving a class of nonlinear initial-boundary value problems, Numerical Methods for Partial Differential Equations 12 (1996), 265-281.


128. A. Karageorghis and T. Tang,
     A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries, Comput. Fluids 25 (1996), 541-549. (ps)


129. M. Li and T. Tang,
     Steady viscous flow in a triangular cavity by efficient numerical techniques, Comput. Math. Appl. 31 (1996), 55-65. (pdf)


130. T. Tang and M. R. Trummer,
     Boundary layer resolving pseudospectral methods for singular perturbation problems, SIAM J. Sci. Comput. 17 (1996), 430-438. (pdf)


131. M. Li, T. Tang, and B. Fornberg,
     A compact fourth order finite difference scheme for steady incompressible Navier-Stokes equations, Internat. J. Numer. Methods Fluids 20 (1995), 1137-1151. (pdf)


132. Q. Sheng and T. Tang,
     Optimal convergence of an Euler and finite difference method for nonlinear partial integro-differential equations, Math. Comput. Modelling 21 (1995) no 10, 1-11. (pdf)


133. T. Tang and Z. H. Teng,
     Error bounds for fractional step methods for conservation laws with source terms, SIAM J. Numer. Anal. 32 (1995), 110-127. (pdf)


134. T. Tang and Z. H. Teng,
     The sharpness of Kuznetsov's O( sqrt Delta x) L¹-error estimate for monotone difference schemes, Math. Comp. 64 (1995), 581-589. (pdf)


135. T. Diogo, S. McKee, and T. Tang,
     Collocation methods for second-kind Volterra integral equations with weakly singular kernels,
     Proceedings of The Royal Society of Edinburgh, 124A, 1994, pp. 199-210.


136. B. Jumarhon, S. McKee, and T. Tang,
     The proof of an inequality arising in a reaction-diffusion study in a small cell, J. Comput. Appl. Math. 51 (1994), 99-101. (pdf)


137. Y. Liu, L. Liu, and T. Tang,
     The numerical computation of connecting orbits in dynamical systems: a rational spectral approach, J. Comput. Phys. 111 (1994), 373-380. (pdf)


138. Y. Song and T. Tang,
     On staggered Turkel-Zwas schemes for two dimensional shallow-water equations, Monthly Weather Review 122 (1994), 223-234. (pdf)


139. E.-Z. Fu, T. Tang, and Z.-H. Teng,
     Riemann problem for a hyperbolic model of combustion: the Z-N-D solutions, J. Partial Differential Equations 6 (1993), 361-372. (pdf)


140. Y. Song and T. Tang,
     Group velocity in numerical schemes for three dimensional hydrodynamic equations, J. Comput. Phys. 105 (1993), 72-82.


141. T. Tang,
     The Hermite spectral method for Gaussian type functions, SIAM J. Sci. Comput. 14 (1993), 594-606. (pdf)


142. T. Tang,
     A finite difference scheme for partial integro-differential equations with weakly singular kernel, Appl. Numer. Math. 11 (1993), 309-319. (pdf)


143. T. Tang,
     A note on collocation methods for Volterra integro-differential equations with weakly singular kernels, IMA J. Numer. Anal. 13 (1993), 93-99. (pdf)


144. T. Diogo, S. McKee, and T. Tang,
     Product integration methods for an integral equation with logarithmic singular kernel, Appl. Numer. Math. 9 (1992), 259-266.


145. D. B. Ingham and T. Tang,
     Multi-grid solutions for steady state flow past a cascade of sudden expansions, Comput. Fluids 21 (1992), 647-660.


146. T. Tang,
     Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations, Numer. Math. 61 (1992), 373-382. (ps)


147. T. Tang, S. McKee, and M. W. Reeks,
     A spectral method for the numerical solutions of a kinetic equation describing the dispersion of small particles in a turbulent flow, J. Comput. Phys. 103 (1992), 222-230. (pdf)


148. T. Diogo, S. McKee, and T. Tang,
     A Hermite-type collocation method for the solution of an integral equation with a logarithmic singular kernel, IMA J. Numer. Anal. 11 (1991), 595-605. (ps)


149. D. B. Ingham, B. R. Morton, and T. Tang,
     Steady two-dimensional flow past a normal flat plat, Z. Angew. Math. Phys. 42 (1991), 584-604.


150. S. McKee, M. W. Reeks, and T. Tang,
     On a moving boundary solution to the Fokker-Planck equation for particle transport in turbulent flows with absorbing boundaries, IMA J. Appl. Math. 47 (1991), 307-318.


151. S. McKee and T. Tang,
     Integral inequalities and their application in numerical analysis, Fasc. Math. 23 (1991), 67-76.


152. T. Tang and D. B. Ingham,
     On steady flow past a rotating circular cylinder at Reynolds numbers 60 and 100, Comput. Fluids 19 (1991), 217-230. (ps)


153. D. B. Ingham and T. Tang,
     A numerical investigation into the steady flow past a rotating circular cylinder at low and intermediate Reynolds numbers, J. Comput. Phys. 87 (1990), 91-107. (pdf)


154. D. B. Ingham, T. Tang, and B. R. Morton,
     Steady two dimensional flow through a row of normal flat plates, J. Fluid Mech. 210 (1990), 281-302. (pdf)


155. T. Tang,
     On the collocation methods for high-order Volterra integro-differential equations, J. Comput. Math. (1990), 183-194. (pdf)


156. T. Tang and W. Yuan,
     The numerical solution of second-order weakly singular Volterra integro-differential equations, J. Comput. Math. 8 (1990), 307-320. (pdf)


157. W. Yuan and T. Tang,
     The numerical analysis of implicit Runge-Kutta methods for a certain nonlinear integro-differential equation, Math. Comp. 54 (1990), 155-168. (pdf)


158. H. Brunner and T. Tang,
     Polynomial spline collocation methods for the nonlinear Basset equation, Comput. Math. Appl. 18 (1989), 449-457. (pdf)


159. T. Tang,
     On three point second-order conservative finite difference schemes, J. Comput. Math. 5 (1987), 105-118. (ps.gz)


160. T. Tang and W. Yuan,
     The further study of a certain integro-differential equation, J. Comput. Phys. 72 (1987), 486-497.

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