Numerical solution of a coefficient inverse problem with multi-frequency experimental raw data by a globally convergent algorithm. - Dinh-Liem Nguyen; Michael V. Klibanov; Loc H. Nguyen; Aleksandr E. Kolesov; Michael A. Fiddy; Hui Liu (J. Comput. Phys., 2017)

A Numerical Method to Solve a Phaseless Coefficient Inverse Problem from a Single Measurement of Experimental Data. - Michael V. Klibanov; Nikolay A. Koshev; Dinh-Liem Nguyen; Loc H. Nguyen; Aaron Brettin; Vasily N. Astratov (SIAM J. Imaging Sci., 2018)

Convergent numerical method for a linearized travel time tomography problem with incomplete data. - Michael V. Klibanov; Thuy T. Le; Loc H. Nguyen (CoRR, 2019)

Convexification for a 3D inverse scattering problem with the moving point source. - Vo Anh Khoa; Michael Victor Klibanov; Loc Hoang Nguyen (CoRR, 2019)

A Coefficient Inverse Problem with a Single Measurement of Phaseless Scattering Data. - Michael V. Klibanov; Dinh-Liem Nguyen; Loc H. Nguyen (SIAM J. Appl. Math., 2019)

On an Inverse Source Problem for the Full Radiative Transfer Equation with Incomplete Data. - Alexey V. Smirnov; Michael V. Klibanov; Loc H. Nguyen (SIAM J. Sci. Comput., 2019)

A new algorithm to determine the creation or depletion term of parabolic equations from boundary measurements. - Loc Hoang Nguyen (Comput. Math. Appl., 2020)

Convexification for a 1D Hyperbolic Coefficient Inverse Problem with Single Measurement Data. - Alexey V. Smirnov; Michael V. Klibanov; Loc H. Nguyen (CoRR, 2020)

Convexification and experimental data for a 3D inverse scattering problem with the moving point source. - Vo Anh Khoa; Grant W. Bidney; Michael V. Klibanov; Loc H. Nguyen; Lam H. Nguyen; Anders J. Sullivan; Vasily N. Astratov (CoRR, 2020)

An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data. - Vo Anh Khoa; Grant W. Bidney; Michael V. Klibanov; Loc H. Nguyen; Lam H. Nguyen; Anders J. Sullivan; Vasily N. Astratov (CoRR, 2020)

Convexification for a Three-Dimensional Inverse Scattering Problem with the Moving Point Source. - Vo Anh Khoa; Michael Victor Klibanov; Loc Hoang Nguyen (SIAM J. Imaging Sci., 2020)

Numerical Solution of a Linearized Travel Time Tomography Problem With Incomplete Data. - Michael V. Klibanov; Thuy T. Le; Loc H. Nguyen (SIAM J. Sci. Comput., 2020)

Convexification inversion method for nonlinear SAR imaging with experimentally collected data. - Michael V. Klibanov; Vo Anh Khoa; Alexey V. Smirnov; Loc H. Nguyen; Grant W. Bidney; Lam H. Nguyen; Anders J. Sullivan; Vasily N. Astratov (CoRR, 2021)

Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data. - Michael V. Klibanov; Thuy T. Le; Loc H. Nguyen; Anders Sullivan; Lam H. Nguyen (CoRR, 2021)

Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equation. - Loc Hoang Nguyen; Michael V. Klibanov (CoRR, 2021)

Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data. - Thuy T. Le; Michael V. Klibanov; Loc H. Nguyen; Anders Sullivan; Lam H. Nguyen (CoRR, 2021)

The Quasi-reversibility Method to Numerically Solve an Inverse Source Problem for Hyperbolic Equations. - Thuy T. Le; Loc H. Nguyen; Thi-Phong Nguyen; William Grayson Powell (J. Sci. Comput., 2021)

A Carleman-based numerical method for quasilinear elliptic equations with over-determined boundary data and applications. - Thuy T. Le; Loc H. Nguyen; Hung V. Tran (Comput. Math. Appl., 2022)

The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations. - Dinh-Liem Nguyen; Loc H. Nguyen; Trung Truong (Comput. Math. Appl., 2022)

The Carleman-contraction method to solve quasi-linear elliptic equations. - Loc Hoang Nguyen (CoRR, 2022)

Numerical reconstruction for 3D nonlinear SAR imaging via a version of the convexification method. - Vo Anh Khoa; Michael Victor Klibanov; William Grayson Powell; Loc Hoang Nguyen (CoRR, 2022)

The Carleman convexification method for Hamilton-Jacobi equations on the whole space. - Huynh P. N. Le; Thuy T. Le; Loc H. Nguyen (CoRR, 2022)

Convexification for a CIP for the RTE]{Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation. - Michael V. Klibanov; Jingzhi Li 001; Loc H. Nguyen; Zhipeng Yang (CoRR, 2022)

Reconstructing a space-dependent source term via the quasi-reversibility method. - Loc H. Nguyen; Huong T. Vu (CoRR, 2022)

Numerical viscosity solutions to Hamilton-Jacobi equations via a Carleman estimate and the convexification method. - Michael V. Klibanov; Loc H. Nguyen; Hung V. Tran (J. Comput. Phys., 2022)

The Gradient Descent Method for the Convexification to Solve Boundary Value Problems of Quasi-Linear PDEs and a Coefficient Inverse Problem. - Thuy T. Le; Loc H. Nguyen (J. Sci. Comput., 2022)

Numerical differentiation by the polynomial-exponential basis. - Phuong M. Nguyen; Thuy T. Le; Loc H. Nguyen; Michael V. Klibanov (CoRR, 2023)

The dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data. - Dinh-Nho Hào; Thuy T. Le; Loc H. Nguyen (CoRR, 2023)

Numerical verification of the convexification method for a frequency-dependent inverse scattering problem with experimental data. - Thuy T. Le; Vo Anh Khoa; Michael Victor Klibanov; Loc Hoang Nguyen; Grant W. Bidney; Vasily N. Astratov (CoRR, 2023)

Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation. - Michael V. Klibanov; Jingzhi Li 001; Loc H. Nguyen; Zhipeng Yang (SIAM J. Imaging Sci., 2023)

Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation. - Michael V. Klibanov; Jingzhi Li 001; Loc H. Nguyen; Vladimir G. Romanov; Zhipeng Yang (SIAM J. Imaging Sci., 2023)

The Carleman convexification method for Hamilton-Jacobi equations. - Huynh P. N. Le; Thuy T. Le; Loc H. Nguyen (Comput. Math. Appl., 2024)

The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients. - Thuy T. Le; Linh V. Nguyen; Loc H. Nguyen; Hyunha Park (Comput. Math. Appl., 2024)

A robust approach with numerical demonstrations for the inverse scattering problem using a Carleman contraction map. - Phuong M. Nguyen; Loc H. Nguyen (CoRR, 2024)

The Carleman-Newton method to globally reconstruct the initial condition for nonlinear parabolic equations. - Anuj Abhishek; Thuy T. Le; Loc H. Nguyen; Taufiquar Khan (J. Comput. Appl. Math., 2024)

The Fourier-based dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data. - Dinh-Nho Hào; Thuy T. Le; Loc H. Nguyen (Commun. Nonlinear Sci. Numer. Simul., 2024)

A Carleman-Picard approach for reconstructing zero-order coefficients in parabolic equations with limited data. - Ray Abney; Thuy T. Le; Loc H. Nguyen; Cam Peters (Appl. Math. Comput., 2025)

Recovery of initial displacement and velocity in anisotropic elastic systems by the time dimensional reduction method. - Trong D. Dang; Chanh V. Le; Khoa D. Luu; Loc H. Nguyen (CoRR, 2025)

Inverse initial data reconstruction for Maxwell's equations via time-dimensional reduction method. - Thuy T. Le; Cong B. Van; Trong D. Dang; Loc H. Nguyen (CoRR, 2025)

Inverse scattering without phase: Carleman convexification and phase retrieval via the Wentzel-Kramers-Brillouin approximation. - Thuy T. Le; Phuong M. Nguyen; Loc H. Nguyen (CoRR, 2025)

The inverse initial data problem for anisotropic Navier-Stokes equations via Legendre time reduction method. - Cong B. Van; Thuy T. Le; Loc H. Nguyen (CoRR, 2025)