3 papers
math.NA2025
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…
math.NA2025
GePUP-ES: High-order Energy-stable Projection Methods for the Incompressible Navier-Stokes Equations with No-slip Conditions
Yang Li, Xu Wu, Jiatu Yan +3
Inspired by the unconstrained PPE (UPPE) formulation [Liu, Liu, & Pego 2007 Comm. Pure Appl. Math., 60 pp. 1443], we previously proposed the GePUP formulation [Zhang 2016 J. Sci. C…
math.NA2025
Numerical Reconstruction and Analysis of Backward Semilinear Subdiffusion Problems
Xu Wu, Jiang Yang, Zhi Zhou
This paper aims to develop and analyze a numerical scheme for solving the backward problem of semilinear subdiffusion equations. We establish the existence, uniqueness, and conditi…