Li-Lian Wang

Publication Activity (10 Years)

Years Active: 2011-2024
Publications (10 Years): 37

Top Topics

Error Estimates

Decomposition Method

Piecewise Smooth

Top Venues

J. Sci. Comput.

SIAM J. Numer. Anal.

Adv. Comput. Math.

Publications

Li-Lian Wang, Jingye Yan, Xiaolong Zhang
Error Analysis of a First-Order IMEX Scheme for the Logarithmic Schrödinger Equation. SIAM J. Numer. Anal. 62 (1) (2024)
Hongbin Chen, Changtao Sheng, Li-Lian Wang
FEM on nonuniform meshes for nonlocal Laplacian: Semi-analytic Implementation in One Dimension. CoRR (2024)
Xiu Yang, Li-Lian Wang, Huiyuan Li, Changtao Sheng
Müntz ball polynomials and Müntz spectral-Galerkin methods for singular eigenvalue problems. CoRR (2023)
Xiu Yang, Li-Lian Wang, Huiyuan Li, Changtao Sheng
Müntz Ball Polynomials and Müntz Spectral-Galerkin Methods for Singular Eigenvalue Problems. J. Sci. Comput. 96 (2) (2023)
Shuhuang Xiang, Desong Kong, Guidong Liu, Li-Lian Wang
Pointwise error estimates and local superconvergence of Jacobi expansions. CoRR (2023)
Wenjie Liu, Li-Lian Wang, Boying Wu
Bernstein-type constants for approximation of |x|α by partial Fourier-Legendre and Fourier-Chebyshev sums. J. Approx. Theory 291 (2023)
Shuhuang Xiang, Desong Kong, Guidong Liu, Li-Lian Wang
Pointwise error estimates and local superconvergence of Jacobi expansions. Math. Comput. 92 (342) (2023)
Lin Li, Li-Lian Wang, Huiyuan Li
An Efficient Spectral Trust-Region Deflation Method for Multiple Solutions. J. Sci. Comput. 95 (1) (2023)
Bingzhen Zhou, Bo Wang, Li-Lian Wang, Ziqing Xie
A hybridizable discontinuous triangular spectral element method on unstructured meshes and its hp-error estimates. Numer. Algorithms 91 (3) (2022)
Desong Kong, Jie Shen, Li-Lian Wang, Shuhuang Xiang
Eigenvalue Analysis and Applications of the Legendre Dual-Petrov-Galerkin Methods for Initial Value Problems. CoRR (2022)
Wenjie Liu, Li-Lian Wang, Boying Wu
Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation. Adv. Comput. Math. 47 (5) (2021)
Hongyan Liu, Changtao Sheng, Li-Lian Wang, Huifang Yuan
On Diagonal Dominance of FEM Stiffness Matrix of Fractional Laplacian and Maximum Principle Preserving Schemes for the Fractional Allen-Cahn Equation. J. Sci. Comput. 86 (2) (2021)
Zhiguo Yang, Li-Lian Wang, Yang Gao
A Truly Exact Perfect Absorbing Layer for Time-Harmonic Acoustic Wave Scattering Problems. SIAM J. Sci. Comput. 43 (2) (2021)
Hongbin Chen, Chang-Tao Sheng, Li-Lian Wang
On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. Appl. Math. Lett. 113 (2021)
Bo Wang, Zhiguo Yang, Li-Lian Wang, Shidong Jiang
On Time-Domain NRBC for Maxwell's Equations and Its Application in Accurate Simulation of Electromagnetic Invisibility Cloaks. J. Sci. Comput. 86 (2) (2021)
Hongbin Chen, Changtao Sheng, Li-Lian Wang
On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. CoRR (2020)
Wenjie Liu, Li-Lian Wang
Asymptotics of the generalized Gegenbauer functions of fractional degree. J. Approx. Theory 253 (2020)
Changtao Sheng, Suna Ma, Huiyuan Li, Li-Lian Wang, Lueling Jia
Generalised Hermite functions and their applications in Spectral Approximations. CoRR (2020)
Wenjie Liu, Li-Lian Wang, Boying Wu
Optimal error estimates for Legendre approximation of singular functions with limited regularity. CoRR (2020)
Yubo Yang, Li-Lian Wang, Fanhai Zeng
Analysis of a Backward Euler-type Scheme for Maxwell's Equations in a Havriliak-Negami Dispersive Medium. CoRR (2020)
Tao Tang, Li-Lian Wang, Huifang Yuan, Tao Zhou
Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains. SIAM J. Sci. Comput. 42 (2) (2020)
Hongyan Liu, Changtao Sheng, Li-Lian Wang, Huifang Yuan
On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for fractional Allen-Cahn equation. CoRR (2020)
Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang, Huifang Yuan
Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains. SIAM J. Numer. Anal. 58 (5) (2020)
Can Huang, Li-Lian Wang
An accurate spectral method for the transverse magnetic mode of Maxwell equations in Cole-Cole dispersive media. Adv. Comput. Math. 45 (2) (2019)
Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang, Huifang Yuan
Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains. CoRR (2019)
Wenjie Liu, Li-Lian Wang, Huiyuan Li
Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces. Math. Comput. 88 (320) (2019)
Zhiguo Yang, Li-Lian Wang, Yang Gao
A Truly Exact and Optimal Perfect Absorbing Layer for Time-harmonic Acoustic Wave Scattering Problems. CoRR (2019)
Bo Wang, Li-Lian Wang, Ziqing Xie
Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids. Adv. Comput. Math. 44 (3) (2018)
Sheng Chen, Jie Shen, Li-Lian Wang
Laguerre Functions and Their Applications to Tempered Fractional Differential Equations on Infinite Intervals. J. Sci. Comput. 74 (3) (2018)
Chao Zhang, Li-Lian Wang, Dongqin Gu, Wenjie Liu
On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains. J. Comput. Appl. Math. 344 (2018)
Xiaojun Tang, Yang Shi, Li-Lian Wang
A new framework for solving fractional optimal control problems using fractional pseudospectral methods. Autom. 78 (2017)
Ying Gu, Wei Xiong, Li-Lian Wang, Jierong Cheng
Generalizing Mumford-Shah Model for Multiphase Piecewise Smooth Image Segmentation. IEEE Trans. Image Process. 26 (2) (2017)
Chao Zhang, Wenjie Liu, Li-Lian Wang
A New Collocation Scheme Using Non-polynomial Basis Functions. J. Sci. Comput. 70 (2) (2017)
Jing Zhang, Li-Lian Wang, Huiyuan Li, Zhimin Zhang
Optimal Spectral Schemes Based on Generalized Prolate Spheroidal Wave Functions of Order -1. J. Sci. Comput. 70 (2) (2017)
Yujian Jiao, Li-Lian Wang, Can Huang
Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis. J. Comput. Phys. 305 (2016)
Can Huang, Yujian Jiao, Li-Lian Wang, Zhimin Zhang
Optimal Fractional Integration Preconditioning and Error Analysis of Fractional Collocation Method Using Nodal Generalized Jacobi Functions. SIAM J. Numer. Anal. 54 (6) (2016)
Sheng Chen, Jie Shen, Li-Lian Wang
Generalized Jacobi functions and their applications to fractional differential equations. Math. Comput. 85 (300) (2016)
Huibin Chang, Xue-Cheng Tai, Li-Lian Wang, Danping Yang
Convergence Rate of Overlapping Domain Decomposition Methods for the Rudin-Osher-Fatemi Model Based on a Dual Formulation. SIAM J. Imaging Sci. 8 (1) (2015)
Ying Gu, Wei Xiong, Li-Lian Wang, Jierong Cheng, Jia Du, Wenyu Chen, Yue Wang, Shue-Ching Chia
A new Mumford-Shah type model involvinga smoothing operator for multiphase image segmentation. ICIP (2015)
Peijun Li, Li-Lian Wang, Aihua Wood
Analysis of Transient Electromagnetic Scattering from a Three-Dimensional Open Cavity. SIAM J. Appl. Math. 75 (4) (2015)
Jie Shen, Li-Lian Wang, Haijun Yu
Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains. J. Comput. Appl. Math. 265 (2014)
Li-Lian Wang, Xiaodan Zhao, Zhimin Zhang
Superconvergence of Jacobi-Gauss-Type Spectral Interpolation. J. Sci. Comput. 59 (3) (2014)
Li-Lian Wang, Michael Daniel Samson, Xiaodan Zhao
A Well-Conditioned Collocation Method Using a Pseudospectral Integration Matrix. SIAM J. Sci. Comput. 36 (3) (2014)
Li-Lian Wang, Jing Zhang, Zhimin Zhang
On hp-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme. J. Comput. Phys. 268 (2014)
Ying Gu, Wei Xiong, Li-Lian Wang, Jierong Cheng, Weimin Huang, Jiayin Zhou
A new approach for multiphase piecewise smooth image segmentation. ICIP (2014)
Zhijian Rong, Li-Lian Wang, Xue-Cheng Tai
Adaptive wavelet collocation methods for image segmentation using TV-Allen-Cahn type models. Adv. Comput. Math. 38 (1) (2013)
Xiaodan Zhao, Li-Lian Wang, Ziqing Xie
Sharp Error Bounds for Jacobi Expansions and Gegenbauer-Gauss Quadrature of Analytic Functions. SIAM J. Numer. Anal. 51 (3) (2013)
Ziqing Xie, Li-Lian Wang, Xiaodan Zhao
On exponential convergence of Gegenbauer interpolation and spectral differentiation. Math. Comput. 82 (282) (2013)
Ying Gu, Li-Lian Wang, Wei Xiong, Jierong Cheng, Weimin Huang, Jiayin Zhou
Efficient and robust image segmentation with a new piecewise-smooth decomposition model. ICIP (2013)
Li-Lian Wang, Bo Wang, Xiaodan Zhao
Fast and Accurate Computation of Time-Domain Acoustic Scattering Problems with Exact Nonreflecting Boundary Conditions. SIAM J. Appl. Math. 72 (6) (2012)
Yuying Shi, Li-Lian Wang, Xue-Cheng Tai
-model. J. Comput. Appl. Math. 236 (8) (2012)
Ying Gu, Li-Lian Wang, Xue-Cheng Tai
A Direct Approach Toward Global Minimization for Multiphase Labeling and Segmentation Problems. IEEE Trans. Image Process. 21 (5) (2012)
Jing Zhang, Li-Lian Wang, Zhijian Rong
A Prolate-Element Method for Nonlinear PDEs on the Sphere. J. Sci. Comput. 47 (1) (2011)
Li-Lian Wang, Yuying Shi, Xue-Cheng Tai
Robust Edge Detection Using Mumford-Shah Model and Binary Level Set Method. SSVM (2011)