3 papers
math.NA2026
A Moment--Hankel Rank Method for Identifying the Number of Point Sources in the Heat Equation
Zhiliang Deng, Xiaomei Yang, Ailin Qian
We develop a low-frequency moment--Hankel rank method for identifying the number of time-independent point sources in the heat equation from boundary flux data. The method is formu…
math.NA2026
A Hankel determinant zero-order principle for source counting in an inverse heat point-source problem
Zhiliang Deng, Ailin Qian, Xiaomei Yang
This paper studies the identification of an unknown number of stationary point sources in a two-dimensional heat equation from boundary flux measurements. Unlike many reconstructio…
math.NA2022
Bayesian approach for limited-aperture inverse acoustic scattering with total variation prior
Xiao-Mei Yang, Zhi-Liang Deng, Ailin Qian
In this work, we apply the Bayesian approach for the acoustic scattering problem to reconstruct the shape of a sound-soft obstacle using the limited-aperture far-field measure data…