Congpei An

activity

20142026

most citedOn the quadrature exactness in hyperinterpolation

13 citations · 48 across the 20 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.OC2019

Numerical construction of spherical $t$ -designs by Barzilai-Borwein method

Yuchen Xiao, Congpei An

A point set $X_{N}$ on the unit sphere is a spherical $t$ -design is equivalent to the nonnegative quantity $A_{N, t + 1}$ vanished. We show that if $X_{N}$ is a stationary…

math.NA2019★ 1 cited

The Numerical Stability of Regularized Barycentric Interpolation Formulae for Interpolation and Extrapolation

Congpei An, Hao-Ning Wu

The $ℓ_{2} -$ and $ℓ_{1} -$ regularized modified Lagrange interpolation formulae over $[- 1, 1]$ are deduced in this paper. This paper mainly analyzes the numerical characteristics of…

Numerical construction of spherical t-designs by Barzilai-Borwein method

The Numerical Stability of Regularized Barycentric Interpolation Formulae for Interpolation and Extrapolation

Numerical construction of spherical $t$ -designs by Barzilai-Borwein method