6 citations · 6 across the 6 of their papers we have counts for
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A globally convergent Carleman-Picard method for an inverse initial-value problem for a nonlinear diffusive coagulation-fragmentation equation coagulation-fragmentation equation
Thuy T. Le, Minh-Binh Tran, Loc H. Nguyen
We study an inverse initial-density problem for a nonlinear diffusive coagulation--fragmentation equation with known coagulation and fragmentation kernels. The objective is to reco…
The inverse initial data problem for anisotropic Navier-Stokes equations via Legendre time reduction method
Cong B. Van, Thuy T. Le, Loc H. Nguyen
We consider an inverse initial-data problem for the compressible anisotropic Navier--Stokes equations, in which the goal is to reconstruct the initial velocity field from noisy lat…
Inverse scattering without phase: Carleman convexification and phase retrieval via the Wentzel--Kramers--Brillouin approximation
Thuy T. Le, Phuong M. Nguyen, Loc H. Nguyen
This paper addresses the challenging and interesting inverse problem of reconstructing the spatially varying dielectric constant of a medium from phaseless backscattering measureme…
Inverse initial data reconstruction for Maxwell's equations via time-dimensional reduction method
Thuy T. Le, Cong B. Van, Trong D. Dang +1
We study an inverse problem for the time-dependent Maxwell system in an inhomogeneous and anisotropic medium. The objective is to recover the initial electric field …
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…
The Carleman convexification method for Hamilton-Jacobi equations on the whole space
Huynh P. N. Le, Thuy T. Le, Loc H. Nguyen
We propose a new globally convergent numerical method to solve Hamilton-Jacobi equations in , . This method is named as the Carleman convexification method.…