17 citations · 26 across the 14 of their papers we have counts for
9 papers · 1 filter
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…
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…
An inverse source problem for hyperbolic equations and the Lipschitz-like convergence of the quasi-reversibility method
Loc Hoang Nguyen
We propose in this paper a new numerical method to solve an inverse source problem for general hyperbolic equations. This is the problem of reconstructing sources from the lateral…