Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method. - Hehu Xie (Adv. Comput. Math., 2008)

Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type. - Hermann Brunner; Qiumei Huang; Hehu Xie (SIAM J. Numer. Anal., 2010)

Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes Problem. - Hagen Eichel; Lutz Tobiska; Hehu Xie (Math. Comput., 2011)

Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type. - Qiumei Huang; Hehu Xie; Hermann Brunner (SIAM J. Sci. Comput., 2011)

Collocation Methods for General Volterra Functional Integral Equations with Vanishing Delays. - Hehu Xie; Ran Zhang 002; Hermann Brunner (SIAM J. Sci. Comput., 2011)

High-Order Convergence of Spectral Deferred Correction Methods on General Quadrature Nodes. - Tao Tang 003; Hehu Xie; Xiaobo Yin (J. Sci. Comput., 2013)

The hp Discontinuous Galerkin Method for Delay Differential Equations with Nonlinear Vanishing Delay. - Qiumei Huang; Hehu Xie; Hermann Brunner (SIAM J. Sci. Comput., 2013)

A posterior error estimator and lower bound of a nonconforming finite element method. - Qun Lin 001; Fusheng Luo; Hehu Xie (J. Comput. Appl. Math., 2014)

A multigrid method for eigenvalue problem. - Hehu Xie (J. Comput. Phys., 2014)

Metric tensors for the interpolation error and its gradient in Lp norm. - Hehu Xie; Xiaobo Yin (J. Comput. Phys., 2014)

A Multigrid Method for Helmholtz Transmission Eigenvalue Problems. - Xia Ji 001; Jiguang Sun; Hehu Xie (J. Sci. Comput., 2014)

Lower bounds of the discretization error for piecewise polynomials. - Qun Lin 001; Hehu Xie; Jinchao Xu (Math. Comput., 2014)

Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem. - Hehu Xie; Xiaobo Yin (Adv. Comput. Math., 2015)

A multilevel finite element method for Fredholm integral eigenvalue problems. - Hehu Xie; Tao Zhou 010 (J. Comput. Phys., 2015)

A multi-level correction scheme for eigenvalue problems. - Qun Lin 001; Hehu Xie (Math. Comput., 2015)

Error Analysis of a Mixed Finite Element Method for the Molecular Beam Epitaxy Model. - Zhonghua Qiao; Tao Tang 003; Hehu Xie (SIAM J. Numer. Anal., 2015)

A Multilevel Correction Method for Optimal Controls of Elliptic Equations. - Wei Gong 005; Hehu Xie; Ningning Yan (SIAM J. Sci. Comput., 2015)

A full multigrid method for eigenvalue problems. - Hongtao Chen; Hehu Xie; Fei Xu 003 (J. Comput. Phys., 2016)

Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems. - Wei Gong 005; Hehu Xie; Ningning Yan (J. Sci. Comput., 2017)

A Multilevel Correction Method for Interior Transmission Eigenvalue Problem. - Hehu Xie; Xinming Wu (J. Sci. Comput., 2017)

A multilevel correction adaptive finite element method for Kohn-Sham equation. - Guanghui Hu; Hehu Xie; Fei Xu 003 (J. Comput. Phys., 2018)

Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection-Diffusion Equations. - Yana Di; Hehu Xie; Xiaobo Yin (J. Sci. Comput., 2018)

A Multilevel Correction Type of Adaptive Finite Element Method for Eigenvalue Problems. - Qichen Hong; Hehu Xie; Fei Xu 003 (SIAM J. Sci. Comput., 2018)

An Eigenwise Parallel Augmented Subspace Method for Eigenvalue Problems. - Fei Xu 003; Hehu Xie; Ning Zhang (CoRR, 2019)

Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates. - Hehu Xie; Manting Xie (J. Sci. Comput., 2019)

Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem. - Qilong Zhai; Hehu Xie; Ran Zhang 002; Zhimin Zhang 002 (J. Sci. Comput., 2019)

Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction. - Hehu Xie; Lei Zhang 027; Houman Owhadi (SIAM J. Numer. Anal., 2019)

Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem. - Chun'guang You; Hehu Xie; Xuefeng Liu (SIAM J. Numer. Anal., 2019)

Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness. - Fusheng Luo; Hehu Xie; Manting Xie; Fei Xu 003 (Appl. Math. Lett., 2020)

Analysis of continuous collocation solutions for nonlinear functional equations with vanishing delays. - Jian Tian; Hehu Xie; Kai Yang; Ran Zhang 002 (Comput. Appl. Math., 2020)

A parallel generalized conjugate gradient method for large scale eigenvalue problems. - Yu Li; Hehu Xie; Ran Xu; Chun'guang You; Ning Zhang (CCF Trans. High Perform. Comput., 2020)

A Nonnested Augmented Subspace Method for Eigenvalue Problems with Curved Interfaces. - Haikun Dang; Hehu Xie; Gang Zhao; Chenguang Zhou (CoRR, 2020)

A Parallel Augmented Subspace Method for Eigenvalue Problems. - Fei Xu 003; Hehu Xie; Ning Zhang (SIAM J. Sci. Comput., 2020)

On some nonlocal models with radially symmetric interaction domains and the effect of domain truncation. - Qiang Du 001; Hehu Xie; Xiaobo Yin (CoRR, 2021)

Design and Implementation of Compensated Gram-Schmidt Algorithm. - Jiexi Jin; Hehu Xie; Peibing Du; Zhe Quan; Hao Jiang 001 (HPCC/DSS/SmartCity/DependSys, 2022)

An Efficient Adaptive Finite Element Method for Eigenvalue Problems. - Qichen Hong; Hehu Xie; Fei Xu 003 (CoRR, 2022)

Tensor Neural Network and Its Numerical Integration. - Yifan Wang; Pengzhan Jin; Hehu Xie (CoRR, 2022)

Solving High Dimensional Partial Differential Equations Using Tensor Type Discretization and Optimization Process. - Yangfei Liao; Yifan Wang; Hehu Xie (CoRR, 2022)

A New Subspace Iteration Algorithm for Solving Generalized Eigenvalue Problems. - Biyi Wang; Hengbin An; Hehu Xie; Zeyao Mo (CoRR, 2022)

On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods. - Qiang Du 001; Hehu Xie; Xiaobo Yin (SIAM J. Numer. Anal., 2022)

On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation. - Guanghui Hu; Hehu Xie; Fei Xu 003 (J. Comput. Phys., 2023)

Enhanced Error Estimates for Augmented Subspace Method. - Haikun Dang; Yifan Wang; Hehu Xie; Chenguang Zhou (J. Sci. Comput., 2023)

A Nonnested Augmented Subspace Method for Elliptic Eigenvalue Problems with Curved Interfaces. - Haikun Dang; Hehu Xie; Gang Zhao; Chenguang Zhou (J. Sci. Comput., 2023)

An Efficient Adaptive Mesh Redistribution Method for Nonlinear Eigenvalue Problems in Bose-Einstein Condensates. - Hehu Xie; Manting Xie; Xiaobo Yin; Gang Zhao (J. Sci. Comput., 2023)

GCGE: a package for solving large scale eigenvalue problems by parallel block damping inverse power method. - Yu Li; Zijing Wang; Hehu Xie (CCF Trans. High Perform. Comput., 2023)

Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin Finite Element Method. - Yue Feng; Zhijin Guan; Hehu Xie; Chenguang Zhou (CoRR, 2024)

Solving High-dimensional Parametric Elliptic Equation Using Tensor Neural Network. - Hongtao Chen; Rui Fu; Yifan Wang; Hehu Xie (CoRR, 2024)

Tensor Neural Network Based Machine Learning Method for Elliptic Multiscale Problems. - Zhongshuo Lin; Haochen Liu; Hehu Xie (CoRR, 2024)

Tensor Neural Network Interpolation and Its Applications. - Yongxin Li; Zhongshuo Lin; Yifan Wang; Hehu Xie (CoRR, 2024)

A Nonnested Augmented Subspace Method for Kohn-Sham Equation. - Guanghui Hu; Hehu Xie; Fei Xu; Gang Zhao (CoRR, 2024)

Enhanced Error Estimates for Augmented Subspace Method with Crouzeix-Raviart Element. - Zhijin Guan; Yifan Wang; Hehu Xie; Chenguang Zhou (CoRR, 2024)

Error estimates of finite element methods for nonlocal problems using exact or approximated interaction neighborhoods. - Qiang Du 001; Hehu Xie; Xiaobo Yin; Jiwei Zhang 002 (CoRR, 2024)

FieldTNN-based machine learning method for Maxwell eigenvalue problems. - Jiantao Jiang; Yanli Wang; Yifan Wang; Hehu Xie (CoRR, 2024)

Adaptive Neural Network Subspace Method for Solving Partial Differential Equations with High Accuracy. - Zhongshuo Lin; Yifan Wang; Hehu Xie (CoRR, 2024)

Computing multi-eigenpairs of high-dimensional eigenvalue problems using tensor neural networks. - Yifan Wang; Hehu Xie (J. Comput. Phys., 2024)

Solving High-Dimensional Partial Differential Equations Using Tensor Neural Network and A Posteriori Error Estimators. - Yifan Wang; Zhongshuo Lin; Yangfei Liao; Haochen Liu; Hehu Xie (J. Sci. Comput., 2024)

A new subspace iteration algorithm for solving generalized eigenvalue problems in vibration analysis. - Biyi Wang; Hengbin An; Hehu Xie; Zeyao Mo (J. Comput. Appl. Math., 2025)

PASE: A Massively Parallel Augmented Subspace Eigensolver for Large Scale Eigenvalue Problems. - Yangfei Liao; Haochen Liu; Hehu Xie; Zijing Wang (CoRR, 2025)

Solving Time-Fractional Partial Integro-Differential Equations Using Tensor Neural Network. - Zhongshuo Lin; Qingkui Ma; Hehu Xie; Xiaobo Yin (CoRR, 2025)

Neural Network Element Method for Partial Differential Equations. - Yifan Wang; Zhongshuo Lin; Hehu Xie (CoRR, 2025)