Loc Nguyen
机构: Associate Professor of Mathematics, University of North Carolina Charlotte
主页: uncc.edu
每年引用次数
引用次数
引用: 1,112
H-指数: 22
I10-指数 : 41
出版物: 109
1
2018
The Carleman-Newton method to globally reconstruct a source term for nonlinear parabolic equation
Anuj Abhishek , Thuy Le , Loc Nguyen , Taufiquar Khan
arXiv preprint arXiv:2209.08011
3
2022
The Dimensional Reduction Method for Solving a Nonlinear Inverse Heat Conduction Problem with Limited Boundary Data
Hao Dinh-Nho , Thuy T Le , Loc Nguyen
Available at SSRN 4575191
The gradient descent method for the convexification to solve boundary value problems of quasi-linear PDEs and a coefficient inverse problem
Loc Nguyen
2021 Fall Western Sectional Meeting
PDE-based numerical method for a limited angle x-ray tomography
Micheal V Klibanov , Loc H Nguyen
Inverse Problems 35 ( 4) 045009
16
2019
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
Inverse Problems 36 ( 8) 085007
9
2020
Reconstructing a space-dependent source term via the quasi-reversibility method
Loc H Nguyen , Huong T Vu
arXiv preprint arXiv:2210.09112
2022
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
Computers \& Mathematics with Applications 125 13 -24
3
2022
The Carleman-Newton method to globally reconstruct the initial condition for nonlinear parabolic equations
Anuj Abhishek , Thuy T Le , Loc H Nguyen , Taufiquar Khan
Journal of Computational and Applied Mathematics 115827 -115827
7
2024
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
arXiv preprint arXiv:2104.11392
16
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
Inverse Problems 38 ( 4) 045002 -045002
9
2022
Numerical differentiation by the polynomial-exponential basis
Phuong M Nguyen , Thuy T Le , Loc H Nguyen , Michael V Klibanov
Journal of Applied and Industrial Mathematics 17 ( 4) 928 -942
6
2023
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
Computers & Mathematics with Applications 166 77 -90
1
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
arXiv preprint arXiv:2309.14599
1
2023
The dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data
Dinh-Nho Hao , Thuy T Le , Loc H Nguyen
arXiv preprint arXiv:2305.19528
1
2023
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
Communications in Nonlinear Science and Numerical Simulation 128 107679 -107679
2024
The Carleman convexification method for Hamilton-Jacobi equations on the whole space
Huynh PN Le , Thuy T Le , Loc H Nguyen
arXiv preprint arXiv:2206.09824
2022
NUMERICAL METHOD FOR A 1D COEFFICIENT
Michael Klibanov , Thuy T Le , Loc H Nguyen , Anders Sullivan
INVERSE PROBLEMS AND IMAGING
2021
A convergent numerical method for a multi-frequency inverse source problem in inhomogenous media
Loc H Nguyen , Qitong Li , Michael V Klibanov
arXiv preprint arXiv:1901.10047
27
2019
A globally convergent numerical method for a 1-d inverse medium problem with experimental data
Michael V Klibanov , Loc H Nguyen , Anders Sullivan , Lam Nguyen
arXiv preprint arXiv:1602.09092
22
2016