1 citations · 1 across the 6 of their papers we have counts for
6 papers
Determining a Time-Varying Potential in Time-Fractional Diffusion from Observation at a Single Point
Siyu Cen, Kwancheol Shin, Zhi Zhou
We discuss the identification of a time-dependent potential in a time-fractional diffusion model from a boundary measurement taken at a single point. Theoretically, we establish a…
Inverse Coefficient Problem for One-Dimensional Subdiffusion with Data on Disjoint Sets in Time
Siyu Cen, Bangti Jin, Yavar Kian +3
In this work we investigate an inverse coefficient problem for the one-dimensional subdiffusion model, which involves a Caputo fractional derivative in time. The inverse problem is…
High-order BDF convolution quadrature for stochastic fractional evolution equations driven by integrated additive noise
Minghua Chen, Jiankang Shi, Zhen Song +2
The numerical analysis of stochastic time fractional evolution equations presents considerable challenges due to the limited regularity of the model caused by the nonlocal operator…
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates
Siyu Cen, Zhi Zhou
The focus of this paper is on the concurrent reconstruction of both the diffusion and potential coefficients present in an elliptic/parabolic equation, utilizing two internal measu…
High-order splitting finite element methods for the subdiffusion equation with limited smoothing property
Buyang Li, Zongze Yang, Zhi Zhou
In contrast with the diffusion equation which smoothens the initial data to for (away from the corners/edges of the domain), the subdiffusion equation only exhibit…
Hybrid Neural-Network FEM Approximation of Diffusion Coefficient in Elliptic and Parabolic Problems
Siyu Cen, Bangti Jin, Qimeng Quan +1
In this work we investigate the numerical identification of the diffusion coefficient in elliptic and parabolic problems using neural networks. The numerical scheme is based on the…