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Numerical Analysis of Simultaneous Reconstruction of Initial Condition and Potential in Subdiffusion
Xu Wu, Jiang Yang, Zhi Zhou
This paper investigates the simultaneous identification of a spatially dependent potential and the initial condition in a subdiffusion model based on two terminal observations. The…
Numerical analysis of 2D Navier--Stokes equations with nonsmooth initial value in the critical space
Buyang Li, Qiqi Rao, Hui Zhang +1
This paper addresses the numerical solution of the two-dimensional Navier--Stokes (NS) equations with nonsmooth initial data in the space, which is the critical space for the…
Numerical Method for Space-Time Fractional Diffusion: A Stochastic Approach
Tengteng Cui, Chengtao Sheng, Bihao Su +1
In this paper, we develop and analyze a stochastic algorithm for solving space-time fractional diffusion models, which are widely used to describe anomalous diffusion dynamics. The…
Learning-Enhanced Variational Regularization for Electrical Impedance Tomography via Calderón's Method
Kai Li, Kwancheol Shin, Zhi Zhou
This paper aims to numerically solve the two-dimensional electrical impedance tomography (EIT) with Cauchy data. This inverse problem is highly challenging due to its severe ill-po…