Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Loc Hoang Nguyen"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2013, Iss 145,, Pp 1-24 (2013)
We study the multiplicity of solutions to the elliptic equation $Delta u+ f(x,u)=0$, under the assumption that f(x,u)/u crosses globally but not pointwise any eigenvalue for every x in a part of the domain, when u varies from $-infty$ to $infty$. Als
Externí odkaz:
https://doaj.org/article/a3f0874cfc194538bc952d5e9412c07b
Publikováno v:
Inverse Problems and Imaging. 16:1579-1618
To compute the spatially distributed dielectric constant from the backscattering computationally simulated ane experimentally collected data, we study a coefficient inverse problem for a 1D hyperbolic equation. To solve this inverse problem, we estab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9ccd80635babd0d0d31253a44dc02cb
https://doi.org/10.3934/ipi.2021068
https://doi.org/10.3934/ipi.2021068
We propose a new globally convergent numerical method to solve Hamilton-Jacobi equations in $\mathbb{R}^d$, $d \geq 1$. This method is named as the Carleman convexification method. By Carleman convexification, we mean that we use a Carleman weight fu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3814c52a47b7b60501a615a6be43e630
http://arxiv.org/abs/2206.09824
http://arxiv.org/abs/2206.09824
Akademický článek
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Autor:
Loc Hoang Nguyen, Thuy T. Le
Publikováno v:
Journal of Inverse and Ill-posed Problems. 30:265-286
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 Dirichlet and Neumann data on the boundary of a bounded domain. Althoug
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ac3e24378c7b5d3f1581ac6aa85daf9
https://doi.org/10.1515/jiip-2020-0028
https://doi.org/10.1515/jiip-2020-0028
Publikováno v:
SIAM Journal on Scientific Computing. 42:B1173-B1192
We propose a new numerical method to solve the linearized problem of the travel time tomography with incomplete data. Our method is based on the technique of the truncation of the Fourier series wi...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cbbcd6e7e13edeb7a3977ae8de420d1b
https://doi.org/10.1137/19m1299487
https://doi.org/10.1137/19m1299487
Publikováno v:
SIAM Journal on Imaging Sciences. 13:871-904
For the first time, we develop in this paper the globally convergent convexification numerical method for a coefficient inverse problem for the three-dimensional Helmholtz equation for the case whe...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f5cc081191f9b2d4151daa262b0aa8ff
https://doi.org/10.1137/19m1303101
https://doi.org/10.1137/19m1303101
Autor:
Loc Hoang Nguyen, Qitong Li
Publikováno v:
Inverse Problems in Science and Engineering. 28:580-598
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 logarithmic. In this paper, we introduce an approximate model, as a coupled li
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe4686dc430789cb4f1a4fbe6e85a0df
https://doi.org/10.1080/17415977.2019.1643850
https://doi.org/10.1080/17415977.2019.1643850
We propose a globally convergent numerical method, called the convexification, to numerically compute the viscosity solution to first-order Hamilton-Jacobi equations through the vanishing viscosity process where the viscosity parameter is a fixed sma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69689e89d85d50988b1610b2bd42296a
http://arxiv.org/abs/2104.05870
http://arxiv.org/abs/2104.05870
This volume contains the proceedings of two AMS Special Sessions “Recent Developments on Analysis and Computation for Inverse Problems for PDEs,” virtually held on March 13–14, 2021, and “Recent Advances in Inverse Problems for Partial Differ