1.W. Y. Tian and X. M. Yuan, An alternating direction method of multipliers with a worst-case O(1/n^2) convergence rate, Math. Comp., 88(2019), 1685-1713.
2.W.Y. Tian and X.M. Yuan, An accelerated primal-dual iterative scheme for the L2-TV regularized model of linear inverse problems, Inverse Problems, 35(3) (2019), 035002
3.W. Y. Tian and X. M. Yuan, Convergence analysis of primal-dual based methods for total variation minimization with finite element approximation, J. Sci. Comput., 76 (2018) 243-274.
4.W.H. Deng, B.Y. Li, W.Y. Tian and P.W. Zhang, Boundary problems for the fractional and tempered fractional operators, SIAM Multiscale Model. Simul., 16 (2018) 125-149
5.W.Y. Tian, X.M. Yuan, Linearized primal-dual methods for linear inverse problems with total variation regularization and finite element discretization, Inverse Problems, 32 (2016) 115011.
6.W.Y. Tian, H. Zhou and W.H. Deng, A class of second order difference approximation for solving space fractional diffusion equations, Math. Comp., 84 (2015) 1703-1727.
7.W.Y. Tian, W.H. Deng and Y.J. Wu, Polynomial spectral collocation method for space fractional advection diffusion equation, Numer. Methods Partial Differential Equations, 30 (2014) 514-535.
8.H.M. Song, R. Zhang and W.Y. Tian, Spectral method for the black-scholes model of American options valuation, J. Math. Study, 47 (2014) 47-64
9.H. Zhou, W.Y. Tian and W.H. Deng, Quasi-compact finite difference schemes for space fractional diffusion equations, J. Sci. Comput., 56 (2013) 45-66.
10.W.Y. Tian, C. Li, W.H. Deng and Y.J. Wu, Regularization methods for unknown source in space fractional diffusion equation, Math. Comput. Simulation, 85 (2012) 45-56
11.H. Zhou, Y.J. Wu and W.Y. Tian, Extrapolation algorithm of compact ADI approximation for two-dimensional parabolic equation, Appl. Math. Comput., 219 (2012) 2875-2884