3 papers
math.NA2024
Spatiotemporal Monitoring of Epidemics via Solution of a Coefficient Inverse Problem
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
Let S,I and R be susceptible, infected and recovered populations in a city affected by an epidemic. The SIR model of Lee, Liu, Tembine, Li and Osher, \emph{SIAM J. Appl. Math.},~81…
math.NA2023
Convexification for a Coefficient Inverse Problem of Mean Field Games
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
The globally convergent convexification numerical method is constructed for a Coefficient Inverse Problem for the Mean Field Games System. A coefficient characterizing the global i…
math.NA2023
Convexification for the Viscocity Solution for a Coefficient Inverse Problem for the Radiative Transfer Equation
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
A Coefficient Inverse Problem for the radiative transport equation is considered. The globally convergent numerical method, the so-called convexification, is developed. For the fir…