3 citations · 3 across the 7 of their papers we have counts for
7 papers
A Carleman-Picard approach for reconstructing zero-order coefficients in parabolic equations with limited data
Ray Abney, Thuy T. Le, Loc H. Nguyen +1
We propose a globally convergent computational technique for the nonlinear inverse problem of reconstructing the zero-order coefficient in a parabolic equation using partial bounda…
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients
Thuy T. Le, Linh V. Nguyen, Loc H. Nguyen +1
This paper aims to reconstruct the initial condition of a hyperbolic equation with an unknown damping coefficient. Our approach involves approximating the hyperbolic equation's sol…
Numerical verification of the convexification method for a frequency-dependent inverse scattering problem with experimental data
Thuy Le, Vo Anh Khoa, Michael Victor Klibanov +3
The reconstruction of physical properties of a medium from boundary measurements, known as inverse scattering problems, presents significant challenges. The present study aims to v…
The dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data
Dinh-Nho H`ao, Thuy T. Le, Loc H. Nguyen
The objective of this article is to introduce a novel technique for computing numerical solutions to the nonlinear inverse heat conduction problem. This involves solving nonlinear…
Numerical differentiation by the polynomial-exponential basis
Phuong M. Nguyen, Thuy T. Le, Loc H. Nguyen +1
Our objective is to calculate the derivatives of data corrupted by noise. This is a challenging task as even small amounts of noise can result in significant errors in the computat…
Reconstruction and stability in acousto-optic imaging for absorption maps with bounded variation
Habib Ammari, Loc Hoang Nguyen, Laurent Seppecher
The aim of this paper is to propose for the first time a reconstruction scheme and a stability result for recovering from acoustic-optic data absorption distributions with bounded…