2 papers
math.NA2025
A Spectral Localization Method for Time-Fractional Integro-Differential Equations with Nonsmooth Data
Lijing Zhao, Rui Zhao, Wenyi Tian +1
In this work, we develop a localized numerical scheme with low regularity requirements for solving time-fractional integro-differential equations. First, a fully discrete numerical…
math.NA2021
An ADMM-Newton-CNN Numerical Approach to a TV Model for Identifying Discontinuous Diffusion Coefficients in Elliptic Equations: Convex Case with Gradient Observations
Wenyi Tian, Xiaoming Yuan, Hangrui Yue
Identifying the discontinuous diffusion coefficient in an elliptic equation with observation data of the gradient of the solution is an important nonlinear and ill-posed inverse pr…