Loc Nguyen

Loc Nguyen

University of North Carolina at Charlotte

H-index: 22

North America-United States

About Loc Nguyen

Loc Nguyen, With an exceptional h-index of 22 and a recent h-index of 17 (since 2020), a distinguished researcher at University of North Carolina at Charlotte, specializes in the field of Inverse Problems, Numerical Analysis, Computational Methods for nonlinear PDEs..

His recent articles reflect a diverse array of research interests and contributions to the field:

The Fourier-based dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data

A robust approach with numerical demonstrations for the inverse scattering problem using a Carleman contraction map

The Carleman convexification method for Hamilton-Jacobi equations

The Carleman-Newton method to globally reconstruct the initial condition for nonlinear parabolic equations

The Carleman contraction mapping method for quasilinear elliptic equations with over-determined boundary data

Numerical differentiation by the polynomial-exponential basis

The time dimensional reduction method to determine the initial conditions for nonlinear and nonlocal hyperbolic equations

The dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data

Loc Nguyen Information

University

Position

Assistant Professor of Mathematics

Citations(all)

1053

Citations(since 2020)

758

Cited By

586

hIndex(all)

22

hIndex(since 2020)

17

i10Index(all)

41

i10Index(since 2020)

34

Email

University Profile Page

University of North Carolina at Charlotte

Google Scholar

View Google Scholar Profile

Loc Nguyen Skills & Research Interests

Inverse Problems

Numerical Analysis

Computational Methods for nonlinear PDEs.

Top articles of Loc Nguyen

Title

Journal

Author(s)

Publication Date

The Fourier-based dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data

Communications in Nonlinear Science and Numerical Simulation

Dinh-Nho Hào

Thuy T Le

Loc H Nguyen

2024/1/1

A robust approach with numerical demonstrations for the inverse scattering problem using a Carleman contraction map

arXiv preprint arXiv:2404.04145

Phuong M Nguyen

Loc H Nguyen

2024/4/5

The Carleman convexification method for Hamilton-Jacobi equations

arXiv preprint arXiv:2206.09824

Huynh PN Le

Thuy T Le

Loc H Nguyen

2022/6/20

The Carleman-Newton method to globally reconstruct the initial condition for nonlinear parabolic equations

Journal of Computational and Applied Mathematics

Anuj Abhishek

Thuy T Le

Loc H Nguyen

Taufiquar Khan

2024/2/10

The Carleman contraction mapping method for quasilinear elliptic equations with over-determined boundary data

Acta Mathematica Vietnamica

Loc H Nguyen

2023/9

Numerical differentiation by the polynomial-exponential basis

Journal of Applied and Industrial Mathematics

Phuong M Nguyen

Thuy T Le

Loc H Nguyen

Michael V Klibanov

2023/9

The time dimensional reduction method to determine the initial conditions for nonlinear and nonlocal hyperbolic equations

arXiv preprint arXiv:2308.13152

Thuy T Le

Linh V Nguyen

Loc H Nguyen

Hyunha Park

2023/8/25

The dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data

arXiv preprint arXiv:2305.19528

Dinh-Nho Hao

Thuy T Le

Loc H Nguyen

2023/5/31

Convexification numerical method for a coefficient inverse problem for the Riemannian radiative transfer equation

SIAM Journal on Imaging Sciences

Michael V Klibanov

Jingzhi Li

Loc H Nguyen

Vladimir Romanov

Zhipeng Yang

2023/9/30

Contemporary Mathematics Volume 784, 2023

Advances in Inverse Problems for Partial Differential Equations

Loc H Nguyen

Huong TT Vu

2023/4/12

A Carleman-Picard approach for reconstructing zero-order coefficients in parabolic equations with limited data

arXiv preprint arXiv:2309.14599

Ray Abney

Thuy T Le

Loc H Nguyen

Cam Peters

2023/9/26

Advances in Inverse Problems for Partial Differential Equations

Dinh-Liem Nguyen

Loc Hoang Nguyen

Thi-Phong Nguyen

2023/4/12

Numerical verification of the convexification method for a frequency-dependent inverse scattering problem with experimental data

Journal of Applied and Industrial Mathematics

Thuy Le

Vo Anh Khoa

Michael Victor Klibanov

Loc Hoang Nguyen

Grant Bidney

...

2024/2/16

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

2022

A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data

Journal of Inverse and Ill-posed Problems

Thuy Thi Thu Le

Loc Hoang Nguyen

2022/4/1

The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations

Computers & Mathematics with Applications

Dinh-Liem Nguyen

Loc H Nguyen

Trung Truong

2022/12/15

Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data

Inverse Problems

Thuy T Le

Michael V Klibanov

Loc H Nguyen

Anders Sullivan

Lam Nguyen

2022/2/24

A Carleman-based numerical method for quasilinear elliptic equations with over-determined boundary data and applications

Computers & Mathematics with Applications

Thuy T Le

Loc H Nguyen

Hung V Tran

2022/11/1

Numerical viscosity solutions to Hamilton-Jacobi equations via a Carleman estimate and the convexification method

Journal of Computational Physics

Michael Klibanov

Loc H Nguyen

Hung V Tran

2022/2/15

Reconstructing a space-dependent source term via the quasi-reversibility method

arXiv preprint arXiv:2210.09112

Loc H Nguyen

Huong T Vu

2022/10/17

See List of Professors in Loc Nguyen University(University of North Carolina at Charlotte)