Shuhuang Xiang | DeepAI

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∙ 03/27/2023

Barycentric Interpolation Based on Equilibrium Potential

A novel barycentric interpolation algorithm with a specific exponential ...

0 Kelong Zhao, et al. ∙

∙ 02/12/2023

Pointwise error estimates and local superconvergence of Jacobi expansions

As one myth of polynomial interpolation and quadrature, Trefethen [30] r...

0 Shuhuang Xiang, et al. ∙

∙ 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...

0 Desong Kong, et al. ∙

∙ 01/20/2021

Fast linear barycentric rational interpolation for singular functions via scaled transformations

In this paper, applied strictly monotonic increasing scaled maps, a kind...

0 Desong Kong, et al. ∙

∙ 06/02/2020

Convergence rates of spectral orthogonal projection approximation for functions of algebraic and logarithmatic regularities

Based on the Hilb type formula between Jacobi polynomials and Bessel fun...

0 Shuhuang Xiang, et al. ∙

∙ 06/02/2020

On optimal convergence rates of spectral orthogonal projection approximation for functions of algbraic and logarithmatic regularities

Based on the Hilb type formula between Jacobi polynomials and Bessel fun...

0 Shuhuang Xiang, et al. ∙

∙ 12/20/2019

Levin methods for highly oscillatory integrals with singularities

In this paper, new Levin methods are presented for calculating oscillato...

0 Yinkun Wang, et al. ∙

∙ 07/01/2019

The Constrained L_p-L_q Basis Pursuit Denoising Problem

In this paper, we consider the constrained L_p-L_q basis pursuit denoisi...

0 Lei Yang, et al. ∙

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