A Triangular Spectral Element Method Using Fully Tensorial Rational Basis Functions. - Jie Shen 001; Li-lian Wang; Huiyuan Li 002 (SIAM J. Numer. Anal., 2009)

Optimal error estimates in Jacobi-weighted Sobolev spaces for polynomial approximations on the triangle. - Huiyuan Li 002; Jie Shen 001 (Math. Comput., 2010)

Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids. - Xiaofeng Yang 003; M. Gregory Forest; Huiyuan Li 002; Chun Liu 009; Jie Shen 001; Qi Wang 021; Falai Chen (J. Comput. Phys., 2013)

A new triangular spectral element method I: implementation and analysis on a triangle. - Michael Daniel Samson; Huiyuan Li 002; Li-lian Wang (Numer. Algorithms, 2013)

A fully diagonalized spectral method using generalized Laguerre functions on the half line. - Fu-jun Liu; Zhong-Qing Wang; Huiyuan Li 002 (Adv. Comput. Math., 2017)

Efficient Space-Time Spectral Methods for Second-Order Problems on Unbounded Domains. - Chao Zhang; Dongqin Gu; Zhong-Qing Wang; Huiyuan Li 002 (J. Sci. Comput., 2017)

Optimal Spectral Schemes Based on Generalized Prolate Spheroidal Wave Functions of Order -1. - Jing Zhang; Li-Lian Wang; Huiyuan Li 002; Zhimin Zhang 002 (J. Sci. Comput., 2017)

Decoupled Energy Stable Schemes for a Phase Field Model of Three-Phase Incompressible Viscous Fluid Flow. - Jia Zhao 004; Huiyuan Li 002; Qi Wang 021; Xiaofeng Yang 003 (J. Sci. Comput., 2017)

Spectral methods using generalized Laguerre functions for second and fourth order problems. - Fu-jun Liu; Huiyuan Li 002; Zhong-Qing Wang (Numer. Algorithms, 2017)

Efficient Spectral and Spectral Element Methods for Eigenvalue Problems of Schrödinger Equations with an Inverse Square Potential. - Huiyuan Li 002; Zhimin Zhang 002 (SIAM J. Sci. Comput., 2017)

Efficient Spectral Methods for Some Singular Eigenvalue Problems. - Suna Ma; Huiyuan Li 002; Zhimin Zhang 002 (J. Sci. Comput., 2018)

New space-time spectral and structured spectral element methods for high order problems. - Chao Zhang; Hanfeng Yao; Huiyuan Li 002 (J. Comput. Appl. Math., 2019)

Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces. - Wenjie Liu 005; Li-Lian Wang; Huiyuan Li 002 (Math. Comput., 2019)

Generalised Hermite functions and their applications in Spectral Approximations. - Changtao Sheng; Suna Ma; Huiyuan Li 002; Li-Lian Wang; Lueling Jia (CoRR, 2020)

Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains. - Jing An; Huiyuan Li 002; Zhimin Zhang 002 (Numer. Algorithms, 2020)

H(curl 2)-Conforming Spectral Element Method for Quad-Curl Problems. - Lixiu Wang; Huiyuan Li 002; Zhimin Zhang 002 (Comput. Methods Appl. Math., 2021)

H(curl2)-conforming quadrilateral spectral element method for quad-curl problems. - Lixiu Wang; Weikun Shan; Huiyuan Li 002; Zhimin Zhang 002 (CoRR, 2021)

A penalized weak Galerkin spectral element method for second order elliptic equations. - Jiajia Pan; Huiyuan Li 002 (J. Comput. Appl. Math., 2021)

Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk. - Zhaopeng Hao; Huiyuan Li 002; Zhimin Zhang 002; Zhongqiang Zhang 003 (Math. Comput., 2021)

Sparse Spectral-Galerkin Method on An Arbitrary Tetrahedron Using Generalized Koornwinder Polynomials. - Lueling Jia; Huiyuan Li 002; Zhimin Zhang 002 (J. Sci. Comput., 2022)

A Posteriori Error Estimates of Spectral Approximations for Second Order Partial Differential Equations in Spherical Geometries. - Jianwei Zhou; Huiyuan Li 002; Zhimin Zhang 002 (J. Sci. Comput., 2022)

An Efficient Spectral Trust-Region Deflation Method for Multiple Solutions. - Lin Li; Li-Lian Wang; Huiyuan Li 002 (J. Sci. Comput., 2023)

Müntz Ball Polynomials and Müntz Spectral-Galerkin Methods for Singular Eigenvalue Problems. - Xiu Yang; Li-Lian Wang; Huiyuan Li 002; Changtao Sheng (J. Sci. Comput., 2023)

MFFT: A GPU Accelerated Highly Efficient Mixed-Precision Large-Scale FFT Framework. - Yuwen Zhao; Fangfang Liu 004; Wenjing Ma; Huiyuan Li 002; Yuanchi Peng; Cui Wang (ACM Trans. Archit. Code Optim., 2023)

A novel HPL-AI approach for FP16-only accelerator and its instantiation on Kunpeng+Ascend AI-specific platform. - Zijian Cao 006; Qiao Sun; Wenhao Yang; Changcheng Song; Zhe Wang; Huiyuan Li 002 (J. Parallel Distributed Comput., 2024)

Multigrid-Inspired Graph Neural Networks for Selection of Solvers and Preconditioners in Sparse Linear Systems. - Xingyu Zhou; Shuzi Niu; Huiyuan Li 002; Tao Yuan; Ziwei Li (IJCNN, 2025)

H(curl2)-conforming triangular spectral element method for quad-curl problems. - Lixiu Wang; Huiyuan Li 002; Qian Zhang; Zhimin Zhang 002 (J. Comput. Appl. Math., 2025)

DH_Aligner: A fast short-read aligner on multicore platforms with AVX vectorization. - Qiao Sun; Chen Feng; Leisheng Li; Huiyuan Li 002 (J. Parallel Distributed Comput., 2025)

Fast Maxwell Solvers Based on Exact Discrete Eigen-Decompositions I. Two-Dimensional Case. - Lixiu Wang; Lueling Jia; Zijian Cao 006; Huiyuan Li 002; Zhimin Zhang 002 (CoRR, 2025)

Towards a Higher Roofline for Matrix-Vector Multiplication in Matrix-Free HOSFEM. - Zijian Cao 006; Qiao Sun; Tiangong Zhang; Huiyuan Li 002 (CoRR, 2025)

Spectral Method for 1-D Neutron Transport Equation. - Haonan Zhang; Huiyuan Li 002; Zhimin Zhang 002 (J. Sci. Comput., 2025)

An Efficient Finite Element Method for Multi-dimensional Nonlocal Laplacian on Uniform Grids. - Changtao Sheng; Huiyuan Li 002; Huifang Yuan; Li-Lian Wang (CoRR, 2025)

A Pointwise Divergence-Free Spectral Element Method for 3D Spherical Dynamo Equations. - Xingyan Yue; Lina Ma; Huiyuan Li 002 (J. Sci. Comput., 2025)