Jacobi interpolation approximations and their applications to singular differential equations. - Ben-yu Guo; Li-lian Wang (Adv. Comput. Math., 2001)

Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. - Ben-yu Guo; Li-lian Wang (J. Approx. Theory, 2004)

Error Analysis for Mapped Legendre Spectral and Pseudospectral Methods. - Jie Shen 001; Li-lian Wang (SIAM J. Numer. Anal., 2004)

Error Analysis for Mapped Jacobi Spectral Methods. - Li-lian Wang; Jie Shen 001 (J. Sci. Comput., 2005)

Spectral Approximation of the Helmholtz Equation with High Wave Numbers. - Jie Shen 001; Li-lian Wang (SIAM J. Numer. Anal., 2005)

Stair Laguerre pseudospectral method for differential equations on the half line. - Li-lian Wang; Ben-yu Guo (Adv. Comput. Math., 2006)

Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials. - Ben-yu Guo; Jie Shen 001; Li-lian Wang (J. Sci. Comput., 2006)

Generalized Laguerre Interpolation and Pseudospectral Method for Unbounded Domains. - Ben-yu Guo; Li-lian Wang; Zhong-Qing Wang (SIAM J. Numer. Anal., 2006)

Error analysis of spectral method on a triangle. - Ben-yu Guo; Li-lian Wang (Adv. Comput. Math., 2007)

Analysis of a Spectral-Galerkin Approximation to the Helmholtz Equation in Exterior Domains. - Jie Shen 001; Li-lian Wang (SIAM J. Numer. Anal., 2007)

Integration processes of ordinary differential equations based on Laguerre-Radau interpolations. - Ben-yu Guo; Zhong-Qing Wang; Hong-Jiong Tian; Li-lian Wang (Math. Comput., 2008)

Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature. - Li-lian Wang; Ben-yu Guo (J. Approx. Theory, 2009)

On spectral approximations in elliptical geometries using Mathieu functions. - Jie Shen 001; Li-lian Wang (Math. Comput., 2009)

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

A Collocation Method with Exact Imposition of Mixed Boundary Conditions. - Zhong-Qing Wang; Li-lian Wang (J. Sci. Comput., 2010)

Analysis of spectral approximations using prolate spheroidal wave functions. - Li-lian Wang (Math. Comput., 2010)

Sparse Spectral Approximations of High-Dimensional Problems Based on Hyperbolic Cross. - Jie Shen 001; Li-lian Wang (SIAM J. Numer. Anal., 2010)

Robust Edge Detection Using Mumford-Shah Model and Binary Level Set Method. - Li-Lian Wang; Yuying Shi; Xue-Cheng Tai (SSVM, 2011)

A Prolate-Element Method for Nonlinear PDEs on the Sphere. - Jing Zhang; Li-Lian Wang; Zhijian Rong (J. Sci. Comput., 2011)

Geometry of total variation regularized Lp-model. - Yuying Shi; Li-Lian Wang; Xue-Cheng Tai (J. Comput. Appl. Math., 2012)

Fast and Accurate Computation of Time-Domain Acoustic Scattering Problems with Exact Nonreflecting Boundary Conditions. - Li-Lian Wang; Bo Wang 103; Xiaodan Zhao (SIAM J. Appl. Math., 2012)

A Direct Approach Toward Global Minimization for Multiphase Labeling and Segmentation Problems. - Ying Gu; Li-Lian Wang; Xue-Cheng Tai (IEEE Trans. Image Process., 2012)

Efficient and robust image segmentation with a new piecewise-smooth decomposition model. - Ying Gu; Li-Lian Wang; Wei Xiong 001; Jierong Cheng; Weimin Huang 002; Jiayin Zhou (ICIP, 2013)

Adaptive wavelet collocation methods for image segmentation using TV-Allen-Cahn type models. - Zhijian Rong; Li-Lian Wang; Xue-Cheng Tai (Adv. Comput. Math., 2013)

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

A new triangular spectral element method I: implementation and analysis on a triangle. - Michael Daniel Samson; Huiyuan Li; Li-lian Wang (Numer. Algorithms, 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 new approach for multiphase piecewise smooth image segmentation. - Ying Gu; Wei Xiong 001; Li-Lian Wang; Jierong Cheng; Weimin Huang 002; Jiayin Zhou (ICIP, 2014)

Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains. - Jie Shen 001; Li-Lian Wang; Haijun Yu (J. Comput. Appl. Math., 2014)

On hp-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme. - Li-Lian Wang; Jing Zhang; Zhimin Zhang 002 (J. Comput. Phys., 2014)

Superconvergence of Jacobi-Gauss-Type Spectral Interpolation. - Li-Lian Wang; Xiaodan Zhao; Zhimin Zhang 002 (J. Sci. Comput., 2014)

A Well-Conditioned Collocation Method Using a Pseudospectral Integration Matrix. - Li-Lian Wang; Michael Daniel Samson; Xiaodan Zhao (SIAM J. Sci. Comput., 2014)

A new Mumford-Shah type model involvinga smoothing operator for multiphase image segmentation. - Ying Gu; Wei Xiong 001; Li-Lian Wang; Jierong Cheng; Jia Du; Wenyu Chen 002; Yue Wang 005; Shue-Ching Chia (ICIP, 2015)

Analysis of Transient Electromagnetic Scattering from a Three-Dimensional Open Cavity. - Peijun Li; Li-Lian Wang; Aihua Wood (SIAM J. Appl. Math., 2015)

Convergence Rate of Overlapping Domain Decomposition Methods for the Rudin-Osher-Fatemi Model Based on a Dual Formulation. - Huibin Chang; Xue-Cheng Tai; Li-Lian Wang; Danping Yang (SIAM J. Imaging Sci., 2015)

Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis. - Yujian Jiao; Li-Lian Wang; Can Huang (J. Comput. Phys., 2016)

Generalized Jacobi functions and their applications to fractional differential equations. - Sheng Chen; Jie Shen 001; Li-Lian Wang (Math. Comput., 2016)

Optimal Fractional Integration Preconditioning and Error Analysis of Fractional Collocation Method Using Nodal Generalized Jacobi Functions. - Can Huang; Yujian Jiao; Li-Lian Wang; Zhimin Zhang 002 (SIAM J. Numer. Anal., 2016)

A new framework for solving fractional optimal control problems using fractional pseudospectral methods. - Xiaojun Tang; Yang Shi 001; Li-Lian Wang (Autom., 2017)

A New Collocation Scheme Using Non-polynomial Basis Functions. - Chao Zhang; Wenjie Liu 005; Li-Lian Wang (J. Sci. Comput., 2017)

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

Generalizing Mumford-Shah Model for Multiphase Piecewise Smooth Image Segmentation. - Ying Gu; Wei Xiong 001; Li-Lian Wang; Jierong Cheng (IEEE Trans. Image Process., 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)

On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains. - Chao Zhang; Li-Lian Wang; Dongqin Gu; Wenjie Liu 005 (J. Comput. Appl. Math., 2018)

Laguerre Functions and Their Applications to Tempered Fractional Differential Equations on Infinite Intervals. - Sheng Chen; Jie Shen 001; Li-Lian Wang (J. Sci. Comput., 2018)

A Spectral Collocation Method for Nonlinear Fractional Boundary Value Problems with a Caputo Derivative. - Chuanli Wang; Zhongqing Wang; Lilian Wang (J. Sci. Comput., 2018)

An accurate spectral method for the transverse magnetic mode of Maxwell equations in Cole-Cole dispersive media. - Can Huang; Li-Lian Wang (Adv. Comput. Math., 2019)

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

A Truly Exact and Optimal Perfect Absorbing Layer for Time-harmonic Acoustic Wave Scattering Problems. - Zhiguo Yang; Li-Lian Wang; Yang Gao (CoRR, 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 (Math. Comput., 2019)

KRF-SLAM: A Robust AI Slam Based On Keypoint Resampling And Fusion. - Wai Mun Wong; Christopher Lim; Chia-Da Lee; Lilian Wang; Shih-Che Chen; Pei-Kuei Tsung (ICIP, 2020)

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

Optimal error estimates for Legendre approximation of singular functions with limited regularity. - Wenjie Liu 005; Li-Lian Wang; Boying Wu (CoRR, 2020)

Analysis of a Backward Euler-type Scheme for Maxwell's Equations in a Havriliak-Negami Dispersive Medium. - Yubo Yang; Li-Lian Wang; Fanhai Zeng (CoRR, 2020)

Asymptotics of the generalized Gegenbauer functions of fractional degree. - Wenjie Liu 005; Li-Lian Wang (J. Approx. Theory, 2020)

Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains. - Changtao Sheng; Jie Shen 001; Tao Tang 003; Li-Lian Wang; Huifang Yuan (SIAM J. Numer. Anal., 2020)

Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains. - Tao Tang 003; Li-Lian Wang; Huifang Yuan; Tao Zhou 010 (SIAM J. Sci. Comput., 2020)

Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation. - Wenjie Liu 005; Li-Lian Wang; Boying Wu (Adv. Comput. Math., 2021)

On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. - Hongbin Chen 002; Chang-Tao Sheng; Li-Lian Wang (Appl. Math. Lett., 2021)

On Diagonal Dominance of FEM Stiffness Matrix of Fractional Laplacian and Maximum Principle Preserving Schemes for the Fractional Allen-Cahn Equation. - Hongyan Liu 015; Changtao Sheng; Li-Lian Wang; Huifang Yuan (J. Sci. Comput., 2021)

On Time-Domain NRBC for Maxwell's Equations and Its Application in Accurate Simulation of Electromagnetic Invisibility Cloaks. - Bo Wang 103; Zhiguo Yang; Li-Lian Wang; Shidong Jiang (J. Sci. Comput., 2021)

A Truly Exact Perfect Absorbing Layer for Time-Harmonic Acoustic Wave Scattering Problems. - Zhiguo Yang; Li-Lian Wang; Yang Gao (SIAM J. Sci. Comput., 2021)

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)

Pointwise error estimates and local superconvergence of Jacobi expansions. - Shuhuang Xiang; Desong Kong; Guidong Liu; Li-Lian Wang (Math. Comput., 2023)

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

Bernstein-type constants for approximation of |x|α by partial Fourier-Legendre and Fourier-Chebyshev sums. - Wenjie Liu 005; Li-Lian Wang; Boying Wu (J. Approx. Theory, 2023)

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

Low regularity estimates of the Lie-Totter time-splitting Fourier spectral method for the logarithmic Schrödinger equation. - Xiaolong Zhang; Lilian Wang (CoRR, 2024)

FEM on nonuniform meshes for nonlocal Laplacian: Semi-analytic Implementation in One Dimension. - Hongbin Chen 002; Changtao Sheng; Li-Lian Wang (CoRR, 2024)

Error Analysis of a First-Order IMEX Scheme for the Logarithmic Schrödinger Equation. - Li-Lian Wang; Jingye Yan; Xiaolong Zhang (SIAM J. Numer. Anal., 2024)

Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems. - Desong Kong; Jie Shen 001; Li-Lian Wang; Shuhuang Xiang (Adv. Comput. Math., 2024)

Stochastic Differential Equation Networks for Time Series at Edge. - Yimin Dai; Li-Lian Wang; Rui Tan 001 (SenSys, 2025)

KKANs: Kurková-Kolmogorov-Arnold networks and their learning dynamics. - Juan Diego Toscano; Li-Lian Wang; George Em Karniadakis (Neural Networks, 2025)

A Novel PML-Type Technique for Acoustic Scattering Problems Based on a Real Coordinate Transformation. - Jiangxing Wang; Li-Lian Wang; Bo Wang 103 (SIAM J. Sci. Comput., 2025)

PODNO: Proper Orthogonal Decomposition Neural Operators. - Zilan Cheng; Zhongjian Wang; Li-Lian Wang; Mejdi Azaïez (CoRR, 2025)

Explicit Construction of Approximate Kolmogorov-Arnold Superpositions with C2-Smoothness. - Lunji Song; Juan Diego Toscano; Li-Lian Wang (CoRR, 2025)