A full multigrid method for nonlinear eigenvalue problems SH Jia, HH Xie, M Xie, F Xu Science China Mathematics 59, 2037-2048, 2016 | 43 | 2016 |
A multigrid method for the ground state solution of Bose-Einstein condensates H Xie, M Xie Communications in Computational Physics 19 (3), 648-662, 2016 | 23 | 2016 |
Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements M Xie, H Xie, X Liu Japan Journal of Industrial and Applied Mathematics 35, 335-354, 2018 | 20 | 2018 |
Computable error estimates for ground state solution of Bose–Einstein condensates H Xie, M Xie Journal of Scientific Computing 81, 1072-1087, 2019 | 9 | 2019 |
Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness F Luo, H Xie, M Xie, F Xu Applied Mathematics Letters 99, 105991, 2020 | 8 | 2020 |
Computable error estimates for a nonsymmetric eigenvalue problem H Xie, M Xie, X Yin, M Yue East Asian Journal on Applied Mathematics 7 (3), 583-602, 2017 | 7 | 2017 |
A cascadic multigrid method for nonsymmetric eigenvalue problem M Yue, H Xie, M Xie Applied Numerical Mathematics 146, 55-72, 2019 | 4 | 2019 |
A type of full multigrid method for non-selfadjoint Steklov eigenvalue problems in inverse scattering M Xie, F Xu, M Yue ESAIM: Mathematical Modelling and Numerical Analysis 55 (5), 1779-1802, 2021 | 3 | 2021 |
A multilevel Newton¢s method for the Steklov eigenvalue problem M Yue, F Xu, M Xie Advances in Computational Mathematics 48 (3), 33, 2022 | 2 | 2022 |
A Spectrally Accurate Numerical Method for Computing the Bogoliubov--de Gennes Excitations of Dipolar Bose--Einstein Condensates Q Tang, M Xie, Y Zhang, Y Zhang SIAM Journal on Scientific Computing 44 (1), B100-B121, 2022 | 2 | 2022 |
A multigrid method for the ground state solution of Bose–Einstein condensates based on Newton iteration F Xu, H Xie, M Xie, M Yue BIT Numerical Mathematics 61, 645-663, 2021 | 2 | 2021 |
A posteriori and superconvergence error analysis for finite element approximation of the Steklov eigenvalue problem C Xiong, M Xie, F Luo, H Su Computers & Mathematics with Applications 144, 90-99, 2023 | 1 | 2023 |
Multigrid method for nonlinear eigenvalue problems based on Newton iteration F Xu, M Xie, M Yue Journal of Scientific Computing 94 (2), 42, 2023 | 1 | 2023 |
An Efficient Adaptive Mesh Redistribution Method for Nonlinear Eigenvalue Problems in Bose–Einstein Condensates H Xie, M Xie, X Yin, G Zhao Journal of Scientific Computing 94 (2), 37, 2023 | 1 | 2023 |
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems F Xu, B Wang, M Xie BIT Numerical Mathematics 64 (2), 1-36, 2024 | | 2024 |
Local and parallel multigrid method for semilinear Neumann problem with nonlinear boundary condition F Xu, B Wang, M Xie Numerical Algorithms 96 (1), 185-210, 2024 | | 2024 |
A New Family of Mixed Method for the Biharmonic Eigenvalue Problem Based on the First Order Equations of Hellan–Herrmann–Johnson Type Y Li, M Xie, C Xiong Journal of Scientific Computing 93 (3), 66, 2022 | | 2022 |
An efficient adaptive multigrid method for the elasticity eigenvalue problem F Xu, Q Huang, M Xie BIT Numerical Mathematics 62 (4), 2005-2033, 2022 | | 2022 |
Convergence and optimality of adaptive multigrid method for multiple eigenvalue problems F Xu, M Xie, Q Huang, M Yue, H Ma Journal of Computational and Applied Mathematics 415, 114450, 2022 | | 2022 |
Efficient and Accurate Computation of the Bogoliubov-De Gennes Excitations for the Quasi-2D Dipolar Bose-Einstein Condensates Y Zhang, X Liu, M Xie EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 11 (4), 686-707, 2021 | | 2021 |