- Q. Ye and X. Tian,
*Monotone meshfree methods for linear elliptic equations in non-divergence form via nonlocal relaxation*, preprint, 2022. [Interactive Website Examples] - L. Demkowicz, T. Führer, N. Heuer, and X. Tian,
*The Double Adaptivity Paradigm (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi)*, Comput. Math. with Appl., 95, 41-66, 2021.

- M. Pasetto, Z. Shen, M. D’Elia, X. Tian, N.Trask and D. Kamensky,
*Efficient optimization-based quadrature for variational discretization of nonlocal problems*, Comput. Methods Appl. Mech. Eng.,396, 115104, 2022. - Y. Leng, X. Tian, L. Demkowicz, H. Gomez and J. Foster,
*A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems*, J. Comput. Phys., 425, 110919, 2021. - Y. Leng, X. Tian, N. Trask and J. Foster,
*Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion*, SIAM J. Numer. Anal., 59(1), 88-118, 2021. - M. D’Elia, Q. Du, C. Glusa, M. Gunzburger, X. Tian, and Z. Zhou,
*Numerical methods for nonlocal and fractional models*, Acta Numerica, 29, 1-124, 2020. - Y. Leng, X. Tian, N. Trask and J. Foster,
*Asymptotically compatible reproducing kernel collocation and meshfree integration for the peridynamic Navier equation*, Comput. Methods Appl. Mech. Eng., 370, 113264, 2020. - X. Tian and Q. Du,
*Asymptotically compatible schemes for robust discretization of parametrized problems with applications to nonlocal models*, SIAM Rev., 62(1), 199–227, 2020 (SIAM Review SIGEST Award). - Q. Du, L. Ju, J. Lu and X. Tian
*A discontinuous Galerkin method with penalty for one-dimensional nonlocal diffusion problems*, Comm. Appl. Math. Comput., 2(1):31-55, 2020. - X. Tian and B. Engquist,
*Fast algorithm for computing nonlocal operators with finite interaction distance*, Comm. Math. Sci., 17(6), 1653 – 1670, 2019. - Q. Du, Y. Tao, X. Tian and J. Yang,
*Asymptotically compatible numerical approximations of multidimensional nonlocal diffusion models and nonlocal Green's functions*, IMA J. Numer. Anal., 39(2),607–625, 2018. - Q. Du, Y. Tao, X. Tian , and J. Yang,
*Robust a posteriori stress analysis for approximations of nonlocal models via nonlocal gradients*, Comput. Methods Appl. Mech. Eng., 310:605-627, 2016. - X. Tian , Q. Du and M. Gunzburger,
*Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains*, Advances in Comp. Math., 42(6):1363-1380, 2016. - X. Tian and Q. Du,
*Nonconforming discontinuous Galerkin methods for nonlocal varational problems*, SIAM J. Numer. Anal., 53 (2015), 762-781. - X. Tian and Q. Du,
*Asymptotically compatible schemes and applications to robust discretization of nonlocal models*, SIAM J. Numer. Anal. 52 (2014), 1641-1665. - X. Tian and Q. Du,
*Analysis and comparison of different approximations to nonlocal diffusion and linear peridynamic equations*, SIAM J. Numer. Anal. 51 (2013), 3458-3482.