Computing multi-eigenpairs of high-dimensional eigenvalue problems using tensor neural networks Y Wang, H Xie Journal of Computational Physics 506, 112928, 2024 | 5 | 2024 |
Enhanced Error Estimates for Augmented Subspace Method with Crouzeix-Raviart Element Z Guan, Y Wang, H Xie, C Zhou arXiv preprint arXiv:2405.00399, 2024 | | 2024 |
A Nonnested Augmented Subspace Method for Kohn-Sham Equation G Hu, H Xie, F Xu, G Zhao arXiv preprint arXiv:2404.19249, 2024 | | 2024 |
Tensor Neural Network Interpolation and Its Applications Y Li, Z Lin, Y Wang, H Xie arXiv preprint arXiv:2404.07805, 2024 | 1 | 2024 |
Tensor Neural Network Based Machine Learning Method for Elliptic Multiscale Problems Z Lin, H Liu, H Xie arXiv preprint arXiv:2403.16380, 2024 | | 2024 |
Solving High-dimensional Parametric Elliptic Equation Using Tensor Neural Network H Chen, R Fu, Y Wang, H Xie arXiv preprint arXiv:2402.00040, 2024 | | 2024 |
Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin Finite Element Method Y Feng, Z Guan, H Xie, C Zhou arXiv preprint arXiv:2401.04063, 2024 | | 2024 |
Solving high dimensional partial differential equations using tensor neural network and a posteriori error estimators Y Wang, Z Lin, Y Liao, H Liu, H Xie arXiv preprint arXiv:2311.02732, 2023 | 6 | 2023 |
GCGE: a package for solving large scale eigenvalue problems by parallel block damping inverse power method Y Li, Z Wang, H Xie CCF Transactions on High Performance Computing 5 (2), 171-190, 2023 | 3 | 2023 |
The weak Galerkin finite element method for the Steklov eigenvalue problem S Li, H Xie, Q Zhai arXiv preprint arXiv:2305.16036, 2023 | | 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 |
A nonnested augmented subspace method for elliptic eigenvalue problems with curved interfaces H Dang, H Xie, G Zhao, C Zhou Journal of Scientific Computing 94 (2), 34, 2023 | 2 | 2023 |
Enhanced Error Estimates for Augmented Subspace Method H Dang, Y Wang, H Xie, C Zhou Journal of Scientific Computing 94 (2), 40, 2023 | 1 | 2023 |
On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation G Hu, H Xie, F Xu Journal of Computational Physics 472, 111674, 2023 | 1 | 2023 |
A new subspace iteration algorithm for solving generalized eigenvalue problems B Wang, H An, H Xie, Z Mo arXiv preprint arXiv:2212.14520, 2022 | 2 | 2022 |
Design and Implementation of Compensated Gram-Schmidt Algorithm J Jin, H Xie, P Du, Z Quan, H Jiang 2022 IEEE 24th Int Conf on High Performance Computing & Communications; 8th …, 2022 | | 2022 |
Solving High Dimensional Partial Differential Equations Using Tensor Type Discretization and Optimization Process Y Liao, Y Wang, H Xie arXiv preprint arXiv:2211.16548, 2022 | 1 | 2022 |
Solving Schr\"{o} dinger Equation Using Tensor Neural Network Y Wang, Y Liao, H Xie arXiv preprint arXiv:2209.12572, 2022 | 13 | 2022 |
Tensor neural network and its numerical integration Y Wang, P Jin, H Xie arXiv preprint arXiv:2207.02754, 2022 | 19 | 2022 |
An Efficient Adaptive Finite Element Method for Eigenvalue Problems Q Hong, H Xie, F Xu arXiv preprint arXiv:2202.11914, 2022 | | 2022 |