Superconvergence of Discontinuous Galerkin Methods for Convection-Diffusion Problems. - Zuozheng Zhang; Ziqing Xie; Zhimin Zhang 002 (J. Sci. Comput., 2009)

Error analysis of a discontinuous Galerkin method for Maxwell equations in dispersive media. - Bo Wang; Ziqing Xie; Zhimin Zhang 002 (J. Comput. Phys., 2010)

Uniform superconvergence analysis of the discontinuous Galerkin method for a singularly perturbed problem in 1-D. - Ziqing Xie; Zhimin Zhang 002 (Math. Comput., 2010)

A uniformly convergent continuous-discontinuous Galerkin method for singularly perturbed problems of convection-diffusion type. - Peng Zhu; Ziqing Xie; Shuzi Zhou (Appl. Math. Comput., 2011)

Convergence Analysis of Spectral Galerkin Methods for Volterra Type Integral Equations. - Ziqing Xie; Xianjuan Li; Tao Tang 003 (J. Sci. Comput., 2012)

On Finding Multiple Solutions to a Singularly Perturbed Neumann Problem. - Ziqing Xie; Yongjun Yuan; Jianxin Zhou (SIAM J. Sci. Comput., 2012)

On exponential convergence of Gegenbauer interpolation and spectral differentiation. - Ziqing Xie; Li-Lian Wang; Xiaodan Zhao (Math. Comput., 2013)

Sharp Error Bounds for Jacobi Expansions and Gegenbauer-Gauss Quadrature of Analytic Functions. - Xiaodan Zhao; Li-Lian Wang; Ziqing Xie (SIAM J. Numer. Anal., 2013)

A double layer method for constructing signed distance fields from triangle meshes. - Yizi Wu; Jiaju Man; Ziqing Xie (Graph. Model., 2014)

Fast centroidal Voronoi Delaunay triangulation for unstructured mesh generation. - Bo Wang; Boo Cheong Khoo; Ziqing Xie; Zhijun Tan (J. Comput. Appl. Math., 2015)

An augmented singular transform and its partial Newton method for finding new solutions. - Ziqing Xie; Wenfan Yi; Jianxin Zhou (J. Comput. Appl. Math., 2015)

Higher-order conservative interpolation between control-volume meshes: Application to advection and multiphase flow problems with dynamic mesh adaptivity. - Alexandros Adam; Dimitris Pavlidis; James R. Percival; Pablo Salinas; Ziqing Xie; Fangxin Fang; Christopher C. Pain; A. H. Muggeridge; Matthew David Jackson (J. Comput. Phys., 2016)

The Highest Superconvergence Analysis of ADG Method for Two Point Boundary Values Problem. - Jiangxing Wang; Chuanmiao Chen; Ziqing Xie (J. Sci. Comput., 2017)

Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids. - Bo Wang 103; Li-Lian Wang; Ziqing Xie (Adv. Comput. Math., 2018)

A wavelet collocation method for boundary integral equations of the modified Helmholtz equation. - Xiangling Chen; Ziqing Xie; Jianshu Luo (Appl. Math. Comput., 2018)

A discontinuous control volume finite element method for multi-phase flow in heterogeneous porous media. - Pablo Salinas; Dimitris Pavlidis; Ziqing Xie; H. Osman; Christopher C. Pain; Matthew David Jackson (J. Comput. Phys., 2018)

An Efficient Iterative Method for Solving Multiple Scattering in Locally Inhomogeneous Media. - Ziqing Xie; Rui Zhang; Bo Wang 103; Li-lian Wang (CoRR, 2019)

Efficient and linear schemes for anisotropic Cahn-Hilliard model using the Stabilized-Invariant Energy Quadratization (S-IEQ) approach. - Zhen Xu 013; Xiaofeng Yang 003; Hui Zhang 021; Ziqing Xie (Comput. Phys. Commun., 2019)

Normalized Wolfe-Powell-type Local Minimax Method for Finding Multiple Unstable Solutions of Nonlinear Elliptic PDEs. - Wei Liu 136; Ziqing Xie; Wenfan Yi (CoRR, 2021)

Nonmonotone Local Minimax Methods for Finding Multiple Saddle Points. - Wei Liu 136; Ziqing Xie; Wenfan Yi (CoRR, 2021)

A constrained gentlest ascent dynamics and its applications to find excited states of Bose-Einstein condensates. - Wei Liu; Ziqing Xie; Yongjun Yuan (CoRR, 2022)

A hybridizable discontinuous triangular spectral element method on unstructured meshes and its hp-error estimates. - Bingzhen Zhou; Bo Wang 103; Li-Lian Wang; Ziqing Xie (Numer. Algorithms, 2022)

On Solving Semilinear Singularly Perturbed Neumann Problems for Multiple Solutions. - Ziqing Xie; Yongjun Yuan; Jianxin Zhou (SIAM J. Sci. Comput., 2022)

Convergence analysis of a spectral-Galerkin-type search extension method for finding multiple solutions to semilinear problems. - Wei Liu 136; Ziqing Xie; Yongjun Yuan (CoRR, 2023)

A constrained gentlest ascent dynamics and its applications to finding excited states of Bose-Einstein condensates. - Wei Liu 136; Ziqing Xie; Yongjun Yuan (J. Comput. Phys., 2023)

Second-order flows for computing the ground states of rotating Bose-Einstein condensates. - Haifan Chen; Guozhi Dong; Wei Liu 136; Ziqing Xie (J. Comput. Phys., 2023)

Second-order flows for approaching stationary points of a class of non-convex energies via convex-splitting schemes. - Haifan Chen; Guozhi Dong; José A. Iglesias 002; Wei Liu 136; Ziqing Xie (CoRR, 2024)

Nehari manifold optimization and its application for finding unstable solutions of semilinear elliptic PDEs. - Zhaoxing Chen; Wei Liu; Ziqing Xie; Wenfan Yi (CoRR, 2024)

BDF schemes for accelerated gradient flows in projection-free approximation of nonconvex constrained variational minimization. - Guozhi Dong; Zikang Gong; Ziqing Xie; Shuo Yang (CoRR, 2024)

Predicting sequenced dental treatment plans from electronic dental records using deep learning. - Haifan Chen; Pufan Liu; Zhaoxing Chen; Qingxiao Chen; Zaiwen Wen; Ziqing Xie (Artif. Intell. Medicine, 2024)

On an accurate numerical integration for the triangular and tetrahedral spectral finite elements. - Ziqing Xie; Shangyou Zhang (Adv. Comput. Math., 2024)

Second-Order Flows for Approaching Stationary Points of a Class of Nonconvex Energies via Convex-Splitting Schemes. - Haifan Chen; Guozhi Dong; José A. Iglesias 002; Wei Liu 136; Ziqing Xie (SIAM J. Sci. Comput., 2025)

Nehari Manifold Optimization and Its Application for Finding Unstable Solutions of Semilinear Elliptic PDEs. - Zhaoxing Chen; Wei Liu 136; Ziqing Xie; Wenfan Yi (SIAM J. Sci. Comput., 2025)