部分文章著作 [1] Xu, Fei; Wang, Bingyi; Xie, Manting*; Local and parallel multigrid method for semilinear Neumann problem with nonlinear boundary condition, Numer. Algorithms, 96(1) (2024), 185–210. [2] Xu, Fei; Wang, Bingyi; Xie, Manting*; Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems, BIT, 64(2) (2024), Paper No. 21, 36 pp. [3] Xiong, Chunguang; Xie, Manting*; Luo, Fusheng; Su, Hongling; A posteriori and superconvergence error analysis for finite element approximation of the Steklov eigenvalue problem, Comput. Math. Appl., 144 (2023), 90-99. [4] Xie, Hehu; Xie, Manting*; Yin, Xiaobo; Zhao, Gang; An efficient adaptive mesh redistribution method for nonlinear eigenvalue problems in Bose-Einstein condensates, J. Sci. Comput., 94(2) (2023), Paper No. 37, 20 pp. [5] Tang, Qinglin; Xie, Manting; Zhang, Yong; Zhang, Yuqing; A spectrally accurate numerical method for computing the Bogoliubov-de Gennes excitations of dipolar Bose-Einstein condensates, SIAM J. Sci. Comput., 44(1) (2022), B100-B121. [6] Li, Yu; Xie, Manting; Xiong, Chunguang; A new family of mixed method for the biharmonic eigenvalue problem based on the first order equations of Hellan-Herrmann-Johnson type, J. Sci. Comput., 93(3) (2022), Paper No. 66, 23 pp. [7] Xu, Fei; Huang, Qiumei; Xie, Manting*; An efficient adaptive multigrid method for the elasticity eigenvalue problem, BIT, 62(4) (2022), 2005-2033. [8] Xie, Manting; Xu, Fei; Yue, Meiling; A type of full multigrid method for non-selfadjoint Steklov eigenvalue problems in inverse scattering, ESAIM Math. Model. Numer. Anal., 55(5) (2021), 1779-1802. [9] Xie, Hehu; Xie, Manting*; Computable error estimates for ground state solution of Bose-Einstein condensates, J. Sci. Comput., 81(2) (2019), 1072-1087. [10] Yue, Meiling; Xu, Fei; Xie, Manting*; A multilevel Newton's method for the Steklov eigenvalue problem, Adv. Comput. Math., 48(3) (2022), Paper No. 33, 29 pp. [11] Zhang, Yuqing; Liu, Xin; Xie, Manting*; Efficient and accurate computation of the Bogoliubov-de Gennes excitations for the quasi-2D dipolar Bose-Einstein condensates, East Asian J. Appl. Math., 11(4) (2021), 686-707. [12] Luo, Fusheng; Xie, Hehu; Xie, Manting; Xu, Fei; Adaptive time-stepping algorithms for molecular beam epitaxy: based on energy or roughness, Appl. Math. Lett., 99 (2020), Paper No. 105991, 8 pp. [13] Yue Meiling; Xie Hehu; Xie Manting*; A cascadic multigrid method for nonsymmetric eigenvalue problem, Appl. Numer. Math.,146 (2019), 55-72. [14] 谢和虎; 谢满庭; 张宁; 一种求解半线性椭圆问题的快速多重网格法, 数值计算与计算机应用, 40(2) (2019),143-160. [15] Xie, Manting; Xie, Hehu; Liu, Xuefeng; Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements, Jpn. J. Ind. Appl. Math., 35 (2018), no. 1, 335-354. [16] Xie, Hehu; Xie, Manting; Yin, Xiaobo; Yue, Meiling; Computable error estimates for a nonsymmetric eigenvalue problem, East Asian J. Appl. Math., 7 (2017), no. 3, 583-602. [17] Jia, Shanghui; Xie, Hehu; Xie, Manting; Xu, Fei; A full multigrid method for nonlinear eigenvalue problems, Sci. China Math., 59 (2016), no. 10, 2037-2048. [18] Xie, Hehu; Xie, Manting; A multigrid method for ground state solution of Bose-Einstein condensates, Commun. Comput. Phys., 19 (2016), no. 3, 648-662. |