8 citations · 20 across the 9 of their papers we have counts for
20 papers
On an Inverse Problem of the Generalized Bathtub Model of Network Trip Flows
Kuang Huang, Bangti Jin, Zhi Zhou
In this work, we investigate the generalized bathtub model, a nonlocal transport equation for describing network trip flows served by privately operated vehicles inside a road netw…
Inverse Problems for Subdiffusion from Observation at an Unknown Terminal Time
Bangti Jin, Yavar Kian, Zhi Zhou
Inverse problems of recovering space-dependent parameters, e.g., initial condition, space-dependent source or potential coefficient, in a subdiffusion model from the terminal obser…
Backward diffusion-wave problem: stability, regularization and approximation
Zhengqi Zhang, Zhi Zhou
We aim at the development and analysis of the numerical schemes for approximately solving the backward diffusion-wave problem, which involves a fractional derivative in time with o…
Robust Convergence of Parareal Algorithms with Arbitrarily High-order Fine Propagators
Jiang Yang, Zhaoming Yuan, Zhi Zhou
The aim of this paper is to analyze the robust convergence of a class of parareal algorithms for solving parabolic problems. The coarse propagator is fixed to the backward Euler me…
Recovering the Potential and Order in One-Dimensional Time-Fractional Diffusion with Unknown Initial Condition and Source
Bangti Jin, Zhi Zhou
This paper is concerned with an inverse problem of recovering a potential term and fractional order in a one-dimensional subdiffusion problem, which involves a Djrbashian-Caputo fr…
Arbitrarily High-order Maximum Bound Preserving Schemes with Cut-off Postprocessing for Allen-Cahn Equations
Jiang Yang, Zhaoming Yuan, Zhi Zhou
We develop and analyze a class of maximum bound preserving schemes for approximately solving Allen--Cahn equations. We apply a th-order single-step scheme in time (where the non…