Li-Lian Wang - RankMe

88 papers B 3Misc 1Journal 83Unranked 1

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Error Analysis of Legendre Spectral Methods for the Monge-Ampère Equation on Convex Quadrilaterals and Hexahedra. J. Sci. Comput. Lixiang Jin, Zhaoxiang Li, Li-Lian Wang
2026	J	`jnl`	Optimal convergence of local discontinuous Galerkin methods for convection-diffusion equations. CoRR Wenjie Liu, Ruiyi Xie, Li-Lian Wang, Zhimin Zhang
2026	J	`jnl`	Preconditioned One-Step Generative Modeling for Bayesian Inverse Problems in Function Spaces. CoRR Zilan Cheng, Li-Lian Wang, Zhongjian Wang
2026	J	`jnl`	Solving PDEs on Surfaces of Pipe Geometries Using New Coordinate Transformations and High-order Compact Finite Differences. J. Sci. Comput. Shuaifei Hu, Yujian Jiao, Desong Kong, Li-Lian Wang
2025	J	`jnl`	A Novel PML-Type Technique for Acoustic Scattering Problems Based on a Real Coordinate Transformation. SIAM J. Sci. Comput. Jiangxing Wang, Li-Lian Wang, Bo Wang
2025	J	`jnl`	An Efficient Finite Element Method for Multi-dimensional Nonlocal Laplacian on Uniform Grids. CoRR Changtao Sheng, Huiyuan Li, Huifang Yuan, Li-Lian Wang
2025	J	`jnl`	Explicit Construction of Approximate Kolmogorov-Arnold Superpositions with C2-Smoothness. CoRR Lunji Song, Juan Diego Toscano, Li-Lian Wang
2025	J	`jnl`	KKANs: Kurková-Kolmogorov-Arnold networks and their learning dynamics. Neural Networks Juan Diego Toscano, Li-Lian Wang, George Em Karniadakis
2025	J	`jnl`	Low regularity estimates of the Lie-Trotter time-splitting Fourier spectral method for the logarithmic Schrödinger equation. Math. Comput. Xiaolong Zhang, Li-Lian Wang
2025	J	`jnl`	PODNO: Proper Orthogonal Decomposition Neural Operators. CoRR Zilan Cheng, Zhongjian Wang, Li-Lian Wang, Mejdi Azaïez
2025	J	`jnl`	Solving PDEs on Surfaces of Pipe Geometries Using New Coordinate Transformations and High-order Compact Finite Differences. CoRR Shuaifei Hu, Yujian Jiao, Desong Kong, Li-Lian Wang
2025	Misc	`conf`	Stochastic Differential Equation Networks for Time Series at Edge. SenSys Yimin Dai, Li-Lian Wang, Rui Tan
2024	J	`jnl`	Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems. Adv. Comput. Math. Desong Kong, Jie Shen, Li-Lian Wang, Shuhuang Xiang
2024	J	`jnl`	Error Analysis of a First-Order IMEX Scheme for the Logarithmic Schrödinger Equation. SIAM J. Numer. Anal. Li-Lian Wang, Jingye Yan, Xiaolong Zhang
2024	J	`jnl`	FEM on nonuniform meshes for nonlocal Laplacian: Semi-analytic Implementation in One Dimension. CoRR Hongbin Chen, Changtao Sheng, Li-Lian Wang
2024	J	`jnl`	KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics. CoRR Juan Diego Toscano, Li-Lian Wang, George Em Karniadakis
2023	J	`jnl`	An Efficient Spectral Trust-Region Deflation Method for Multiple Solutions. J. Sci. Comput. Lin Li, Li-Lian Wang, Huiyuan Li
2023	J	`jnl`	Bernstein-type constants for approximation of \|x\|α by partial Fourier-Legendre and Fourier-Chebyshev sums. J. Approx. Theory Wenjie Liu, Li-Lian Wang, Boying Wu
2023	J	`jnl`	Müntz Ball Polynomials and Müntz Spectral-Galerkin Methods for Singular Eigenvalue Problems. J. Sci. Comput. Xiu Yang, Li-Lian Wang, Huiyuan Li, Changtao Sheng
2023	J	`jnl`	Müntz ball polynomials and Müntz spectral-Galerkin methods for singular eigenvalue problems. CoRR Xiu Yang, Li-Lian Wang, Huiyuan Li, Changtao Sheng
2023	J	`jnl`	Pointwise error estimates and local superconvergence of Jacobi expansions. CoRR Shuhuang Xiang, Desong Kong, Guidong Liu, Li-Lian Wang
2023	J	`jnl`	Pointwise error estimates and local superconvergence of Jacobi expansions. Math. Comput. Shuhuang Xiang, Desong Kong, Guidong Liu, Li-Lian Wang
2022	J	`jnl`	A hybridizable discontinuous triangular spectral element method on unstructured meshes and its hp-error estimates. Numer. Algorithms Bingzhen Zhou, Bo Wang, Li-Lian Wang, Ziqing Xie
2022	J	`jnl`	Eigenvalue Analysis and Applications of the Legendre Dual-Petrov-Galerkin Methods for Initial Value Problems. CoRR Desong Kong, Jie Shen, Li-Lian Wang, Shuhuang Xiang
2021	J	`jnl`	A Truly Exact Perfect Absorbing Layer for Time-Harmonic Acoustic Wave Scattering Problems. SIAM J. Sci. Comput. Zhiguo Yang, Li-Lian Wang, Yang Gao
2021	J	`jnl`	On Diagonal Dominance of FEM Stiffness Matrix of Fractional Laplacian and Maximum Principle Preserving Schemes for the Fractional Allen-Cahn Equation. J. Sci. Comput. Hongyan Liu, Changtao Sheng, Li-Lian Wang, Huifang Yuan
2021	J	`jnl`	On Time-Domain NRBC for Maxwell's Equations and Its Application in Accurate Simulation of Electromagnetic Invisibility Cloaks. J. Sci. Comput. Bo Wang, Zhiguo Yang, Li-Lian Wang, Shidong Jiang
2021	J	`jnl`	On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. Appl. Math. Lett. Hongbin Chen, Chang-Tao Sheng, Li-Lian Wang
2021	J	`jnl`	Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation. Adv. Comput. Math. Wenjie Liu, Li-Lian Wang, Boying Wu
2020	J	`jnl`	Analysis of a Backward Euler-type Scheme for Maxwell's Equations in a Havriliak-Negami Dispersive Medium. CoRR Yubo Yang, Li-Lian Wang, Fanhai Zeng
2020	J	`jnl`	Asymptotics of the generalized Gegenbauer functions of fractional degree. J. Approx. Theory Wenjie Liu, Li-Lian Wang
2020	J	`jnl`	Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains. SIAM J. Numer. Anal. Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang, Huifang Yuan
2020	J	`jnl`	Generalised Hermite functions and their applications in Spectral Approximations. CoRR Changtao Sheng, Suna Ma, Huiyuan Li, Li-Lian Wang, Lueling Jia
2020	J	`jnl`	On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for fractional Allen-Cahn equation. CoRR Hongyan Liu, Changtao Sheng, Li-Lian Wang, Huifang Yuan
2020	J	`jnl`	On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. CoRR Hongbin Chen, Changtao Sheng, Li-Lian Wang
2020	J	`jnl`	On time-domain NRBC for Maxwell's equations and its application in accurate simulation of electromagnetic invisibility cloaks. CoRR Bo Wang, Zhiguo Yang, Li-Lian Wang, Shidong Jiang
2020	J	`jnl`	Optimal error estimates for Legendre approximation of singular functions with limited regularity. CoRR Wenjie Liu, Li-Lian Wang, Boying Wu
2020	J	`jnl`	Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains. SIAM J. Sci. Comput. Tao Tang, Li-Lian Wang, Huifang Yuan, Tao Zhou
2019	J	`jnl`	A Truly Exact and Optimal Perfect Absorbing Layer for Time-harmonic Acoustic Wave Scattering Problems. CoRR Zhiguo Yang, Li-Lian Wang, Yang Gao
2019	J	`jnl`	An Efficient Iterative Method for Solving Multiple Scattering in Locally Inhomogeneous Media. CoRR Ziqing Xie, Rui Zhang, Bo Wang, Li-Lian Wang
2019	J	`jnl`	An accurate spectral method for the transverse magnetic mode of Maxwell equations in Cole-Cole dispersive media. Adv. Comput. Math. Can Huang, Li-Lian Wang
2019	J	`jnl`	Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains. CoRR Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang, Huifang Yuan
2019	J	`jnl`	Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces. Math. Comput. Wenjie Liu, Li-Lian Wang, Huiyuan Li
2018	J	`jnl`	Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids. Adv. Comput. Math. Bo Wang, Li-Lian Wang, Ziqing Xie
2018	J	`jnl`	Laguerre Functions and Their Applications to Tempered Fractional Differential Equations on Infinite Intervals. J. Sci. Comput. Sheng Chen, Jie Shen, Li-Lian Wang
2018	J	`jnl`	On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains. J. Comput. Appl. Math. Chao Zhang, Li-Lian Wang, Dongqin Gu, Wenjie Liu
2017	J	`jnl`	A New Collocation Scheme Using Non-polynomial Basis Functions. J. Sci. Comput. Chao Zhang, Wenjie Liu, Li-Lian Wang
2017	J	`jnl`	A new framework for solving fractional optimal control problems using fractional pseudospectral methods. Autom. Xiaojun Tang, Yang Shi, Li-Lian Wang
2017	J	`jnl`	Generalizing Mumford-Shah Model for Multiphase Piecewise Smooth Image Segmentation. IEEE Trans. Image Process. Ying Gu, Wei Xiong, Li-Lian Wang, Jierong Cheng
2017	J	`jnl`	Optimal Spectral Schemes Based on Generalized Prolate Spheroidal Wave Functions of Order -1. J. Sci. Comput. Jing Zhang, Li-Lian Wang, Huiyuan Li, Zhimin Zhang
2016	J	`jnl`	Generalized Jacobi functions and their applications to fractional differential equations. Math. Comput. Sheng Chen, Jie Shen, Li-Lian Wang
2016	J	`jnl`	Optimal Fractional Integration Preconditioning and Error Analysis of Fractional Collocation Method Using Nodal Generalized Jacobi Functions. SIAM J. Numer. Anal. Can Huang, Yujian Jiao, Li-Lian Wang, Zhimin Zhang
2016	J	`jnl`	Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis. J. Comput. Phys. Yujian Jiao, Li-Lian Wang, Can Huang
2015	B	`conf`	A new Mumford-Shah type model involvinga smoothing operator for multiphase image segmentation. ICIP Ying Gu, Wei Xiong, Li-Lian Wang, Jierong Cheng, Jia Du, Wenyu Chen, Yue Wang, Shue-Ching Chia
2015	J	`jnl`	Analysis of Transient Electromagnetic Scattering from a Three-Dimensional Open Cavity. SIAM J. Appl. Math. Peijun Li, Li-Lian Wang, Aihua Wood
2015	J	`jnl`	Convergence Rate of Overlapping Domain Decomposition Methods for the Rudin-Osher-Fatemi Model Based on a Dual Formulation. SIAM J. Imaging Sci. Huibin Chang, Xue-Cheng Tai, Li-Lian Wang, Danping Yang
2014	J	`jnl`	A Well-Conditioned Collocation Method Using a Pseudospectral Integration Matrix. SIAM J. Sci. Comput. Li-Lian Wang, Michael Daniel Samson, Xiaodan Zhao
2014	B	`conf`	A new approach for multiphase piecewise smooth image segmentation. ICIP Ying Gu, Wei Xiong, Li-Lian Wang, Jierong Cheng, Weimin Huang, Jiayin Zhou
2014	J	`jnl`	Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains. J. Comput. Appl. Math. Jie Shen, Li-Lian Wang, Haijun Yu
2014	J	`jnl`	On hp-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme. J. Comput. Phys. Li-Lian Wang, Jing Zhang, Zhimin Zhang
2014	J	`jnl`	Superconvergence of Jacobi-Gauss-Type Spectral Interpolation. J. Sci. Comput. Li-Lian Wang, Xiaodan Zhao, Zhimin Zhang
2013	J	`jnl`	A new triangular spectral element method I: implementation and analysis on a triangle. Numer. Algorithms Michael Daniel Samson, Huiyuan Li, Li-Lian Wang
2013	J	`jnl`	Adaptive wavelet collocation methods for image segmentation using TV-Allen-Cahn type models. Adv. Comput. Math. Zhijian Rong, Li-Lian Wang, Xue-Cheng Tai
2013	B	`conf`	Efficient and robust image segmentation with a new piecewise-smooth decomposition model. ICIP Ying Gu, Li-Lian Wang, Wei Xiong, Jierong Cheng, Weimin Huang, Jiayin Zhou
2013	J	`jnl`	On exponential convergence of Gegenbauer interpolation and spectral differentiation. Math. Comput. Ziqing Xie, Li-Lian Wang, Xiaodan Zhao
2013	J	`jnl`	Sharp Error Bounds for Jacobi Expansions and Gegenbauer-Gauss Quadrature of Analytic Functions. SIAM J. Numer. Anal. Xiaodan Zhao, Li-Lian Wang, Ziqing Xie
2012	J	`jnl`	A Direct Approach Toward Global Minimization for Multiphase Labeling and Segmentation Problems. IEEE Trans. Image Process. Ying Gu, Li-Lian Wang, Xue-Cheng Tai
2012	J	`jnl`	Fast and Accurate Computation of Time-Domain Acoustic Scattering Problems with Exact Nonreflecting Boundary Conditions. SIAM J. Appl. Math. Li-Lian Wang, Bo Wang, Xiaodan Zhao
2012	J	`jnl`	Geometry of total variation regularized L J. Comput. Appl. Math. Yuying Shi, Li-Lian Wang, Xue-Cheng Tai
2011	J	`jnl`	A Prolate-Element Method for Nonlinear PDEs on the Sphere. J. Sci. Comput. Jing Zhang, Li-Lian Wang, Zhijian Rong
2011	—	`conf`	Robust Edge Detection Using Mumford-Shah Model and Binary Level Set Method. SSVM Li-Lian Wang, Yuying Shi, Xue-Cheng Tai
2010	J	`jnl`	A Collocation Method with Exact Imposition of Mixed Boundary Conditions. J. Sci. Comput. Zhong-Qing Wang, Li-Lian Wang
2010	J	`jnl`	Analysis of spectral approximations using prolate spheroidal wave functions. Math. Comput. Li-Lian Wang
2010	J	`jnl`	Sparse Spectral Approximations of High-Dimensional Problems Based on Hyperbolic Cross. SIAM J. Numer. Anal. Jie Shen, Li-Lian Wang
2009	J	`jnl`	A Triangular Spectral Element Method Using Fully Tensorial Rational Basis Functions. SIAM J. Numer. Anal. Jie Shen, Li-Lian Wang, Huiyuan Li
2009	J	`jnl`	Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature. J. Approx. Theory Li-Lian Wang, Ben-yu Guo
2009	J	`jnl`	On spectral approximations in elliptical geometries using Mathieu functions. Math. Comput. Jie Shen, Li-Lian Wang
2008	J	`jnl`	Integration processes of ordinary differential equations based on Laguerre-Radau interpolations. Math. Comput. Ben-yu Guo, Zhong-Qing Wang, Hong-Jiong Tian, Li-Lian Wang
2007	J	`jnl`	Analysis of a Spectral-Galerkin Approximation to the Helmholtz Equation in Exterior Domains. SIAM J. Numer. Anal. Jie Shen, Li-Lian Wang
2007	J	`jnl`	Error analysis of spectral method on a triangle. Adv. Comput. Math. Ben-yu Guo, Li-Lian Wang
2006	J	`jnl`	Generalized Laguerre Interpolation and Pseudospectral Method for Unbounded Domains. SIAM J. Numer. Anal. Ben-yu Guo, Li-Lian Wang, Zhong-Qing Wang
2006	J	`jnl`	Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials. J. Sci. Comput. Ben-yu Guo, Jie Shen, Li-Lian Wang
2006	J	`jnl`	Stair Laguerre pseudospectral method for differential equations on the half line. Adv. Comput. Math. Li-Lian Wang, Ben-yu Guo
2005	J	`jnl`	Error Analysis for Mapped Jacobi Spectral Methods. J. Sci. Comput. Li-Lian Wang, Jie Shen
2005	J	`jnl`	Spectral Approximation of the Helmholtz Equation with High Wave Numbers. SIAM J. Numer. Anal. Jie Shen, Li-Lian Wang
2004	J	`jnl`	Error Analysis for Mapped Legendre Spectral and Pseudospectral Methods. SIAM J. Numer. Anal. Jie Shen, Li-Lian Wang
2004	J	`jnl`	Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. J. Approx. Theory Ben-yu Guo, Li-Lian Wang
2001	J	`jnl`	Jacobi interpolation approximations and their applications to singular differential equations. Adv. Comput. Math. Ben-yu Guo, Li-Lian Wang