2 citations · 5 across the 7 of their papers we have counts for
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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…
Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data
Michael V. Klibanov, Thuy T. Le, Loc H. Nguyen +2
To compute the spatially distributed dielectric constant from the backscattering data, we study a coefficient inverse problem for a 1D hyperbolic equation. To solve the inverse pro…
The quasi-reversibility method to numerically solve an inverse source problem for hyperbolic equations
Thuy T. Le, Loc H. Nguyen, Thi-Phong Nguyen +1
We propose a numerical method to solve an inverse source problem of computing the initial condition of hyperbolic equations from the measurements of Cauchy data. This problem arise…
Convergent numerical method for a linearized travel time tomography problem with incomplete data
Michael V. Klibanov, Thuy T. Le, Loc H. Nguyen
We propose a new numerical method to solve the linearized problem of travel time tomography with incomplete data. Our method is based on the technique of the truncation of the Four…