Li-Lian Wang

According to our database1, Li-Lian Wang authored at least 67 papers between 2001 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Error Analysis of a First-Order IMEX Scheme for the Logarithmic Schrödinger Equation.
SIAM J. Numer. Anal., February, 2024

2023
Müntz Ball Polynomials and Müntz Spectral-Galerkin Methods for Singular Eigenvalue Problems.
J. Sci. Comput., August, 2023

Bernstein-type constants for approximation of |x|α by partial Fourier-Legendre and Fourier-Chebyshev sums.
J. Approx. Theory, July, 2023

An Efficient Spectral Trust-Region Deflation Method for Multiple Solutions.
J. Sci. Comput., April, 2023

Pointwise error estimates and local superconvergence of Jacobi expansions.
Math. Comput., February, 2023

2022
A hybridizable discontinuous triangular spectral element method on unstructured meshes and its hp-error estimates.
Numer. Algorithms, 2022

Eigenvalue Analysis and Applications of the Legendre Dual-Petrov-Galerkin Methods for Initial Value Problems.
CoRR, 2022

2021
A Truly Exact Perfect Absorbing Layer for Time-Harmonic Acoustic Wave Scattering Problems.
SIAM J. Sci. Comput., 2021

On Time-Domain NRBC for Maxwell's Equations and Its Application in Accurate Simulation of Electromagnetic Invisibility Cloaks.
J. Sci. Comput., 2021

On Diagonal Dominance of FEM Stiffness Matrix of Fractional Laplacian and Maximum Principle Preserving Schemes for the Fractional Allen-Cahn Equation.
J. Sci. Comput., 2021

On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes.
Appl. Math. Lett., 2021

Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation.
Adv. Comput. Math., 2021

2020
Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains.
SIAM J. Sci. Comput., 2020

Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains.
SIAM J. Numer. Anal., 2020

Asymptotics of the generalized Gegenbauer functions of fractional degree.
J. Approx. Theory, 2020

Analysis of a Backward Euler-type Scheme for Maxwell's Equations in a Havriliak-Negami Dispersive Medium.
CoRR, 2020

Optimal error estimates for Legendre approximation of singular functions with limited regularity.
CoRR, 2020

Generalised Hermite functions and their applications in Spectral Approximations.
CoRR, 2020

2019
Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces.
Math. Comput., 2019

A Truly Exact and Optimal Perfect Absorbing Layer for Time-harmonic Acoustic Wave Scattering Problems.
CoRR, 2019

An Efficient Iterative Method for Solving Multiple Scattering in Locally Inhomogeneous Media.
CoRR, 2019

An accurate spectral method for the transverse magnetic mode of Maxwell equations in Cole-Cole dispersive media.
Adv. Comput. Math., 2019

2018
Laguerre Functions and Their Applications to Tempered Fractional Differential Equations on Infinite Intervals.
J. Sci. Comput., 2018

On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains.
J. Comput. Appl. Math., 2018

Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids.
Adv. Comput. Math., 2018

2017
Generalizing Mumford-Shah Model for Multiphase Piecewise Smooth Image Segmentation.
IEEE Trans. Image Process., 2017

Optimal Spectral Schemes Based on Generalized Prolate Spheroidal Wave Functions of Order -1.
J. Sci. Comput., 2017

A New Collocation Scheme Using Non-polynomial Basis Functions.
J. Sci. Comput., 2017

A new framework for solving fractional optimal control problems using fractional pseudospectral methods.
Autom., 2017

2016
Optimal Fractional Integration Preconditioning and Error Analysis of Fractional Collocation Method Using Nodal Generalized Jacobi Functions.
SIAM J. Numer. Anal., 2016

Generalized Jacobi functions and their applications to fractional differential equations.
Math. Comput., 2016

Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis.
J. Comput. Phys., 2016

2015
Convergence Rate of Overlapping Domain Decomposition Methods for the Rudin-Osher-Fatemi Model Based on a Dual Formulation.
SIAM J. Imaging Sci., 2015

Analysis of Transient Electromagnetic Scattering from a Three-Dimensional Open Cavity.
SIAM J. Appl. Math., 2015

A new Mumford-Shah type model involvinga smoothing operator for multiphase image segmentation.
Proceedings of the 2015 IEEE International Conference on Image Processing, 2015

2014
A Well-Conditioned Collocation Method Using a Pseudospectral Integration Matrix.
SIAM J. Sci. Comput., 2014

Superconvergence of Jacobi-Gauss-Type Spectral Interpolation.
J. Sci. Comput., 2014

On hp-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme.
J. Comput. Phys., 2014

Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains.
J. Comput. Appl. Math., 2014

A new approach for multiphase piecewise smooth image segmentation.
Proceedings of the 2014 IEEE International Conference on Image Processing, 2014

2013
Sharp Error Bounds for Jacobi Expansions and Gegenbauer-Gauss Quadrature of Analytic Functions.
SIAM J. Numer. Anal., 2013

A new triangular spectral element method I: implementation and analysis on a triangle.
Numer. Algorithms, 2013

On exponential convergence of Gegenbauer interpolation and spectral differentiation.
Math. Comput., 2013

Adaptive wavelet collocation methods for image segmentation using TV-Allen-Cahn type models.
Adv. Comput. Math., 2013

Efficient and robust image segmentation with a new piecewise-smooth decomposition model.
Proceedings of the IEEE International Conference on Image Processing, 2013

2012
A Direct Approach Toward Global Minimization for Multiphase Labeling and Segmentation Problems.
IEEE Trans. Image Process., 2012

Fast and Accurate Computation of Time-Domain Acoustic Scattering Problems with Exact Nonreflecting Boundary Conditions.
SIAM J. Appl. Math., 2012

Geometry of total variation regularized L<sup>p</sup>-model.
J. Comput. Appl. Math., 2012

2011
A Prolate-Element Method for Nonlinear PDEs on the Sphere.
J. Sci. Comput., 2011

Robust Edge Detection Using Mumford-Shah Model and Binary Level Set Method.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2011

2010
Sparse Spectral Approximations of High-Dimensional Problems Based on Hyperbolic Cross.
SIAM J. Numer. Anal., 2010

Analysis of spectral approximations using prolate spheroidal wave functions.
Math. Comput., 2010

A Collocation Method with Exact Imposition of Mixed Boundary Conditions.
J. Sci. Comput., 2010

2009
A Triangular Spectral Element Method Using Fully Tensorial Rational Basis Functions.
SIAM J. Numer. Anal., 2009

On spectral approximations in elliptical geometries using Mathieu functions.
Math. Comput., 2009

Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature.
J. Approx. Theory, 2009

2008
Integration processes of ordinary differential equations based on Laguerre-Radau interpolations.
Math. Comput., 2008

2007
Analysis of a Spectral-Galerkin Approximation to the Helmholtz Equation in Exterior Domains.
SIAM J. Numer. Anal., 2007

Error analysis of spectral method on a triangle.
Adv. Comput. Math., 2007

2006
Generalized Laguerre Interpolation and Pseudospectral Method for Unbounded Domains.
SIAM J. Numer. Anal., 2006

Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials.
J. Sci. Comput., 2006

Stair Laguerre pseudospectral method for differential equations on the half line.
Adv. Comput. Math., 2006

2005
Spectral Approximation of the Helmholtz Equation with High Wave Numbers.
SIAM J. Numer. Anal., 2005

Error Analysis for Mapped Jacobi Spectral Methods.
J. Sci. Comput., 2005

2004
Error Analysis for Mapped Legendre Spectral and Pseudospectral Methods.
SIAM J. Numer. Anal., 2004

Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces.
J. Approx. Theory, 2004

2001
Jacobi interpolation approximations and their applications to singular differential equations.
Adv. Comput. Math., 2001


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