44 citations · 98 across the 19 of their papers we have counts for
19 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…
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…
The Carleman-Newton method to globally reconstruct a source term for nonlinear parabolic equation
Anuj Abhishek, Thuy Le, Loc Nguyen +1
We propose to combine the Carleman estimate and the Newton method to solve an inverse source problem for nonlinear parabolic equations from lateral boundary data. The stability of…
Global reconstruction of initial conditions of nonlinear parabolic equations via the Carleman-contraction method
Thuy T. Le
We propose a global convergent numerical method to reconstruct the initial condition of a nonlinear parabolic equation from the measurement of both Dirichlet and Neumann data on th…