Hui-yuan Li

发表

Sparse Spectral-Galerkin Method on An Arbitrary Tetrahedron Using Generalized Koornwinder Polynomials

Zhimin Zhang, Huiyua Li, Lueling Jia, 2022, Journal of Scientific Computing.

New space-time spectral and structured spectral element methods for high order problems

Chao Zhang, Huiyuan Li, Hanfeng Yao, 2019, J. Comput. Appl. Math..

$$C^1$$-Conforming Quadrilateral Spectral Element Method for Fourth-Order Equations

Zhimin Zhang, Huiyua Li, Weikun Shan, 2016, Communications on Applied Mathematics and Computation.

Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains

Zhimin Zhang, Huiyuan Li, Jing An, 2019, Numerical Algorithms.

Spectral-Galerkin Approximation and Optimal Error Estimate for Stokes Eigenvalue Problems in Polar Geometries

Zhimin Zhang, Jing An, Huiyua Li, 2016, 1610.08647.

Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids

Jie Shen, Xiaofeng Yang, Qi Wang, 2013, J. Comput. Phys..

Nontensorial generalised Hermite spectral methods for PDEs with fractional Laplacian and Schrodinger operators

Li-Lian Wang, Suna Ma, Changtao Sheng, 2021 .

Sparse Spectral-Galerkin Method on An Arbitrary Tetrahedron Using Generalized Koornwinder Polynomials pdf

Lueling Jia, Huiyuan Li, Zhimin Zhang, 2021, J. Sci. Comput..

The Legendre Galerkin–Chebyshev collocation method for Burgers‐like equations

Heping Ma, Huiyuan Li, Hua Wu, 2003 .

Generalised Hermite spectral methods for PDEs involving integral fractional Laplacian and Schr\"{o}dinger operators.

Lueling Jia, Li-Lian Wang, Changtao Sheng, 2020 .

Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces

Li-Lian Wang, Huiyuan Li, Wenjie Liu, 2017, Math. Comput..

New and Sharp Bounds for orthogonal polynomial approximation of functions in fractional Sobolev-type spaces I: Chebyshev Case

Lilian Wang, Wenjie Liu, Hui-yuan Li, 2017 .

Spectral Approximation on the Unit Ball

Yuan Xu, Huiyuan Li, Yuan Xu, 2013, SIAM J. Numer. Anal..

A new triangular spectral element method I: implementation and analysis on a triangle

Li-Lian Wang, Huiyuan Li, Michael Daniel Samson, 2012, Numerical Algorithms.

Vectorial ball Prolate spheroidal wave functions with the divergence free constraint pdf

Huiyuan Li, Jing Zhang, Guidoum Ikram, 2020, ArXiv.

Legendre Spectral Galerkin Method for Electromagnetic Scattering from Large Cavities

Weiwei Sun, Heping Ma, Huiyuan Li, 2013, SIAM J. Numer. Anal..

A penalized weak Galerkin spectral element method for second order elliptic equations

Jiajia Pan, Huiyuan Li, J. Pan, 2021, J. Comput. Appl. Math..

Discrete Fourier Analysis on Fundamental Domain and Simplex of Ad Lattice in d-Variables

Yuan Xu, Huiyuan Li, Yuan Xu, 2010 .

Discrete Fourier analysis on fundamental domain of $A_d$ lattice and on simplex in $d$-variables

Yuan Xu, Huiyua Li, Hui-yuan Li, 2008, 0809.1079.

Optimal Error Estimates of the Chebyshev-Legendre Spectral Method for Solving the Generalized Burgers Equation

Heping Ma, Huiyuan Li, Hua Wu, 2003, SIAM J. Numer. Anal..

Efficient Hermite Spectral-Galerkin Methods for Nonlocal Diffusion Equations in Unbounded Domains

Lilian Wang, Hui-yuan Li, Ruiqing Liu null, 2022, Numerical Mathematics: Theory, Methods and Applications.

A Posteriori Error Estimates of Spectral Approximations for Second Order Partial Differential Equations in Spherical Geometries

Zhimin Zhang, Jianwei Zhou, Huiyuan Li, 2021, Journal of Scientific Computing.

Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids

Falai Chen, Qi Wang, Xiaofeng Yang, 2013, Journal of Computational Physics.

An Efficient Spectral Trust-Region Deflation Method for Multiple Solutions

Lin Li, Hui-yuan Li, Li-Lian Wang, 2023, Journal of Scientific Computing.

Decoupled Energy Stable Schemes for a Phase Field Model of Three-Phase Incompressible Viscous Fluid Flow

Jia Zhao, Qi Wang, Xiaofeng Yang, 2017, J. Sci. Comput..

Discrete Fourier Analysis and Chebyshev Polynomials with G2 Group

Yuan Xu, Jiachang Sun, Huiyua Li, 2012, 1204.4501.

Discrete Fourier Analysis, Cubature, and Interpolation on a Hexagon and a Triangle

Yuan Xu, Huiyuan Li, Jiachang Sun, 2007, SIAM J. Numer. Anal..

Optimal Spectral Schemes Based on Generalized Prolate Spheroidal Wave Functions of Order $$-1$$-1

Zhimin Zhang, Lilian Wang, Jing Zhang, 2017, J. Sci. Comput..

Efficient Spectral Methods for Some Singular Eigenvalue Problems

Zhimin Zhang, Huiyuan Li, Suna Ma, 2018, J. Sci. Comput..

Efficient Spectral Methods for Some Singular Eigenvalue Problems

Suna Ma, Zhi-Mei Zhang, Hui-yuan Li, 2018, Journal of Scientific Computing.

Jacobi–Sobolev Orthogonal Polynomials and Spectral Methods for Elliptic Boundary Value Problems

Zhong-qing Wang, Hui-yuan Li, Xu-hong Yu, 2019, Communications on Applied Mathematics and Computation.

Numerical analysis on the mortar spectral element methods for Schrödinger eigenvalue problem with an inverse square potential

Zhimin Zhang, Lueling Jia, Hui-yuan Li, 2020 .

A new collocation method using near-minimal Chebyshev quadrature nodes on a square

Huiyua Li, Jiajia Pan, J. Pan, 2020 .

Hermite–Sobolev orthogonal functions and spectral methods for second- and fourth-order problems on unbounded domains

Yuan Liu, Xu-Hong Yu, Hui-yuan Li, 2018, Int. J. Comput. Math..

Efficient Spectral and Spectral Element Methods for Eigenvalue Problems of Schrödinger Equations with an Inverse Square Potential

Zhimin Zhang, Huiyuan Li, Zhimin Zhang, 2016, SIAM J. Sci. Comput..

a spectral method on tetrahedra using rational basis functions

Wang Li-lian, L. Huiyuan, Hui-yuan Li, 2010 .

Decoupled Energy Stable Schemes for a Phase Field Model of Three-Phase Incompressible Viscous Fluid Flow

Jia Zhao, Xiaofeng Yang, Qi Wang, 2016, Journal of Scientific Computing.

Ball prolate spheroidal wave functions in arbitrary dimensions

Zhimin Zhang, Lilian Wang, Huiyua Li, 2018, Applied and Computational Harmonic Analysis.

a new spectral method on triangles

Lilian Wang, He-ping Ma, Youyun Li, 2011 .

Efficient space-time Jacobi rational spectral methods for second order time-dependent problems on unbounded domains

Zhong-qing Wang, Hui-yuan Li, T. Zhang, 2022, Applied Numerical Mathematics.

Efficient Space-Time Spectral Methods for Second-Order Problems on Unbounded Domains

Chao Zhang, Dongqin Gu, Zhong-Qing Wang, 2017, J. Sci. Comput..