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03/09/2023
Müntz ball polynomials and Müntz spectral-Galerkin methods for singular eigenvalue problems
In this paper, we introduce a new family of orthogonal systems, termed a...
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02/12/2023
Pointwise error estimates and local superconvergence of Jacobi expansions
As one myth of polynomial interpolation and quadrature, Trefethen [30] r...
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11/19/2022
Eigenvalue Analysis and Applications of the Legendre Dual-Petrov-Galerkin Methods for Initial Value Problems
In this paper, we show that the eigenvalues and eigenvectors of the spec...
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09/10/2020
On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes
We derive exact form of the piecewise-linear finite element stiffness ma...
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07/21/2020
Analysis of a Backward Euler-type Scheme for Maxwell's Equations in a Havriliak-Negami Dispersive Medium
For the Maxwell's equations in a Havriliak-Negami (H-N) dispersive mediu...
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07/16/2020
On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for fractional Allen-Cahn equation
In this paper, we study diagonal dominance of the stiffness matrix resul...
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06/01/2020
Optimal error estimates for Legendre approximation of singular functions with limited regularity
This paper concerns optimal error estimates for Legendre polynomial expa...
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10/20/2019
A Truly Exact and Optimal Perfect Absorbing Layer for Time-harmonic Acoustic Wave Scattering Problems
In this paper, we design a truly exact and optimal perfect absorbing lay...
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08/28/2019
An Efficient Iterative Method for Solving Multiple Scattering in Locally Inhomogeneous Media
In this paper, an efficient iterative method is proposed for solving mul...
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08/27/2019
Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains
In this paper, we propose a fast spectral-Galerkin method for solving PD...
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10/09/2011