13 citations · 17 across the 3 of their papers we have counts for
3 papers
math.AP2021★ 13 cited
Convergence rate of DeepONets for learning operators arising from advection-diffusion equations
Beichuan Deng, Yeonjong Shin, Lu Lu +2
We present convergence analysis of operator learning in [Chen and Chen 1995] and [Lu et al. 2020], where continuous operators are approximated by a sum of products of branch and tr…
math.NA2018
Superconvergence Points of Integer and Fractional Derivatives of Special Hermite Interpolations and Its Applications in Solving FDEs
Beichuan Deng, Jiwei Zhang, Zhimin Zhang
In this paper, we study convergence and superconvergence theory of integer and fractional derivatives of the one-point and the two-point Hermite interpolations. When considering th…
math.NA2017★ 4 cited
Superconvergence Points For The Spectral Interpolation Of Riesz Fractional Derivatives
Beichuan Deng, Zhimin Zhang, Xuan Zhao
In this paper, superconvergence points are located for the approximation of the Riesz derivative of order using classical Lobatto-type polynomials when and general…