44 citations · 334 across the 44 of their papers we have counts for
8 papers · 1 filter
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…
Convexification for a 3D inverse scattering problem with the moving point source
Vo Anh Khoa, Michael Victor Klibanov, Loc Hoang Nguyen
For the first time, we develop in this paper the globally convergent convexification numerical method for a Coefficient Inverse Problem for the 3D Helmholtz equation for the case w…
A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data
Thuy T. Le, Loc H. Nguyen
We propose a new numerical method for the solution of the problem of the reconstruction of the initial condition of a quasilinear parabolic equation from the measurements of both D…
A new algorithm to determine the creation or depletion term of parabolic equations from boundary measurements
Loc Hoang Nguyen
We propose a robust numerical method to find the coefficient of the creation or depletion term of parabolic equations from the measurement of the lateral Cauchy information of thei…
On an inverse source problem for the full radiative transfer equation with incomplete data
Alexey V. Smirnov, Michael V. Klibanov, Loc H. Nguyen
A new numerical method to solve an inverse source problem for the radiative transfer equation involving the absorption and scattering terms, with incomplete data, is proposed. No r…
A numerical method for an inverse source problem for parabolic equations and its application to a coefficient inverse problem
Phuong Mai Nguyen, Loc Hoang Nguyen
Two main aims of this paper are to develop a numerical method to solve an inverse source problem for parabolic equations and apply it to solve a nonlinear coefficient inverse probl…
Recovering the initial condition of parabolic equations from lateral Cauchy data via the quasi-reversibility method
Qitong Li, Loc H. Nguyen
We consider the problem of computing the initial condition for a general parabolic equation from the Cauchy lateral data. The stability of this problem is well-known to be logarith…
A convergent numerical method for a multi-frequency inverse source problem in inhomogenous media
Loc H. Nguyen, Qitong Li, Michael V. Klibanov
A new numerical method to solve an inverse source problem for the Helmholtz equation in inhomogenous media is proposed. This method reduces the original inverse problem to a bounda…