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03/27/2023
Barycentric Interpolation Based on Equilibrium Potential
A novel barycentric interpolation algorithm with a specific exponential ...
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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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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...
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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...
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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...
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12/20/2019
Levin methods for highly oscillatory integrals with singularities
In this paper, new Levin methods are presented for calculating oscillato...
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07/01/2019