Loc H. Nguyen

Publication Activity (10 Years)

Years Active: 2017-2024
Publications (10 Years): 38

Top Topics

Numerical Solution

Reduction Method

Experimental Data

Initial Conditions

Top Venues

Comput. Math. Appl.

SIAM J. Imaging Sci.

J. Comput. Phys.

Publications

Phuong M. Nguyen, Loc H. Nguyen
A robust approach with numerical demonstrations for the inverse scattering problem using a Carleman contraction map. CoRR (2024)
Dinh-Nho Hào, Thuy T. Le, Loc H. Nguyen
The Fourier-based dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data. Commun. Nonlinear Sci. Numer. Simul. 128 (2024)
Thuy T. Le, Linh V. Nguyen, Loc H. Nguyen, Hyunha Park
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients. Comput. Math. Appl. 166 (2024)
Huynh P. N. Le, Thuy T. Le, Loc H. Nguyen
The Carleman convexification method for Hamilton-Jacobi equations. Comput. Math. Appl. 159 (2024)
Anuj Abhishek, Thuy T. Le, Loc H. Nguyen, Taufiquar Khan
The Carleman-Newton method to globally reconstruct the initial condition for nonlinear parabolic equations. J. Comput. Appl. Math. 445 (2024)
Phuong M. Nguyen, Thuy T. Le, Loc H. Nguyen, Michael V. Klibanov
Numerical differentiation by the polynomial-exponential basis. CoRR (2023)
Thuy T. Le, Linh V. Nguyen, Loc H. Nguyen, Hyunha Park
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients. CoRR (2023)
Dinh-Nho Hào, Thuy T. Le, Loc H. Nguyen
The dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data. CoRR (2023)
Ray Abney, Thuy T. Le, Loc H. Nguyen, Cam Peters
A Carleman-Picard approach for reconstructing zero-order coefficients in parabolic equations with limited data. CoRR (2023)
Michael V. Klibanov, Jingzhi Li, Loc H. Nguyen, Zhipeng Yang
Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation. SIAM J. Imaging Sci. 16 (1) (2023)
Trong D. Dang, Loc H. Nguyen, Huong T. Vu
The time dimensional reduction method to determine the initial conditions for nonlinear and nonlocal hyperbolic equations. CoRR (2023)
Michael V. Klibanov, Jingzhi Li, Loc H. Nguyen, Vladimir G. Romanov, Zhipeng Yang
Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation. SIAM J. Imaging Sci. 16 (3) (2023)
Dinh-Liem Nguyen, Loc H. Nguyen, Trung Truong
The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations. Comput. Math. Appl. 128 (2022)
Michael V. Klibanov, Jingzhi Li, Loc H. Nguyen, Vladimir G. Romanov, Zhipeng Yang
Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation. CoRR (2022)
Huynh P. N. Le, Thuy T. Le, Loc H. Nguyen
The Carleman convexification method for Hamilton-Jacobi equations on the whole space. CoRR (2022)
Dinh-Liem Nguyen, Loc H. Nguyen, Trung Truong
The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations. CoRR (2022)
Thuy T. Le, Loc H. Nguyen
The Gradient Descent Method for the Convexification to Solve Boundary Value Problems of Quasi-Linear PDEs and a Coefficient Inverse Problem. J. Sci. Comput. 91 (3) (2022)
Michael V. Klibanov, Loc H. Nguyen, Hung V. Tran
Numerical viscosity solutions to Hamilton-Jacobi equations via a Carleman estimate and the convexification method. J. Comput. Phys. 451 (2022)
Thuy T. Le, Loc H. Nguyen, Hung V. Tran
A Carleman-based numerical method for quasilinear elliptic equations with over-determined boundary data and applications. Comput. Math. Appl. 125 (2022)
Loc H. Nguyen, Huong T. Vu
Reconstructing a space-dependent source term via the quasi-reversibility method. CoRR (2022)
Michael V. Klibanov, Jingzhi Li, Loc H. Nguyen, Zhipeng Yang
Convexification for a CIP for the RTE]{Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation. CoRR (2022)
Thuy T. Le, Loc H. Nguyen, Hung V. Tran
A Carleman-based numerical method for quasilinear elliptic equations with over-determined boundary data and applications. CoRR (2021)
Thuy T. Le, Loc H. Nguyen, Thi-Phong Nguyen, William Powell
The Quasi-reversibility Method to Numerically Solve an Inverse Source Problem for Hyperbolic Equations. J. Sci. Comput. 87 (3) (2021)
Michael V. Klibanov, Loc H. Nguyen, Hung V. Tran
Numerical viscosity solutions to Hamilton-Jacobi equations via a Carleman estimate and the convexification method. CoRR (2021)
Michael V. Klibanov, Vo Anh Khoa, Alexey V. Smirnov, Loc H. Nguyen, Grant W. Bidney, Lam H. Nguyen, Anders J. Sullivan, Vasily N. Astratov
Convexification inversion method for nonlinear SAR imaging with experimentally collected data. CoRR (2021)
Michael V. Klibanov, Thuy T. Le, Loc H. Nguyen, Anders Sullivan, Lam H. Nguyen
Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data. CoRR (2021)
Thuy T. Le, Loc H. Nguyen
The gradient descent method for the convexification to solve boundary value problems of quasi-linear PDEs and a coefficient inverse problem. CoRR (2021)
Thuy T. Le, Michael V. Klibanov, Loc H. Nguyen, Anders Sullivan, Lam H. Nguyen
Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data. CoRR (2021)
Vo Anh Khoa, Grant W. Bidney, Michael V. Klibanov, Loc H. Nguyen, Lam H. Nguyen, Anders J. Sullivan, Vasily N. Astratov
Convexification and experimental data for a 3D inverse scattering problem with the moving point source. CoRR (2020)
Vo Anh Khoa, Grant W. Bidney, Michael V. Klibanov, Loc H. Nguyen, Lam H. Nguyen, Anders J. Sullivan, Vasily N. Astratov
An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data. CoRR (2020)
Alexey V. Smirnov, Michael V. Klibanov, Loc H. Nguyen
Convexification for a 1D Hyperbolic Coefficient Inverse Problem with Single Measurement Data. CoRR (2020)
Michael V. Klibanov, Thuy T. Le, Loc H. Nguyen
Numerical Solution of a Linearized Travel Time Tomography Problem With Incomplete Data. SIAM J. Sci. Comput. 42 (5) (2020)
Thuy T. Le, Loc H. Nguyen, Thi-Phong Nguyen, William Powell
The quasi-reversibility method to numerically solve an inverse source problem for hyperbolic equations. CoRR (2020)
Alexey V. Smirnov, Michael V. Klibanov, Loc H. Nguyen
On an Inverse Source Problem for the Full Radiative Transfer Equation with Incomplete Data. SIAM J. Sci. Comput. 41 (5) (2019)
Michael V. Klibanov, Thuy T. Le, Loc H. Nguyen
Convergent numerical method for a linearized travel time tomography problem with incomplete data. CoRR (2019)
Michael V. Klibanov, Dinh-Liem Nguyen, Loc H. Nguyen
A Coefficient Inverse Problem with a Single Measurement of Phaseless Scattering Data. SIAM J. Appl. Math. 79 (1) (2019)
Michael V. Klibanov, Nikolay A. Koshev, Dinh-Liem Nguyen, Loc H. Nguyen, Aaron Brettin, Vasily N. Astratov
A Numerical Method to Solve a Phaseless Coefficient Inverse Problem from a Single Measurement of Experimental Data. SIAM J. Imaging Sci. 11 (4) (2018)
Dinh-Liem Nguyen, Michael V. Klibanov, Loc H. Nguyen, Aleksandr E. Kolesov, Michael A. Fiddy, Hui Liu
Numerical solution of a coefficient inverse problem with multi-frequency experimental raw data by a globally convergent algorithm. J. Comput. Phys. 345 (2017)