A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data TTT Le, LH Nguyen Journal of Inverse and Ill-posed Problems 30 (2), 265-286, 2022 | 44 | 2022 |
The gradient descent method for the convexification to solve boundary value problems of quasi-linear PDEs and a coefficient inverse problem TT Le, LH Nguyen Journal of Scientific Computing 91 (3), 74, 2022 | 26 | 2022 |
The quasi-reversibility method to numerically solve an inverse source problem for hyperbolic equations TT Le, LH Nguyen, TP Nguyen, W Powell Journal of Scientific Computing 87, 1-23, 2021 | 25 | 2021 |
Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data MV Klibanov, TT Le, LH Nguyen, A Sullivan, L Nguyen arXiv preprint arXiv:2104.11392, 2021 | 16 | 2021 |
Numerical solution of a linearized travel time tomography problem with incomplete data MV Klibanov, TT Le, LH Nguyen SIAM Journal on Scientific Computing 42 (5), B1173-B1192, 2020 | 14 | 2020 |
A Carleman-based numerical method for quasilinear elliptic equations with over-determined boundary data and applications TT Le, LH Nguyen, HV Tran Computers & Mathematics with Applications 125, 13-24, 2022 | 13 | 2022 |
Global reconstruction of initial conditions of nonlinear parabolic equations via the Carleman-contraction method TT Le Advances in Inverse problems for Partial Differential Equations 784, 23-42, 2023 | 9 | 2023 |
Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data TT Le, MV Klibanov, LH Nguyen, A Sullivan, L Nguyen Inverse Problems 38 (4), 045002, 2022 | 9 | 2022 |
Numerical differentiation by the polynomial-exponential basis PM Nguyen, TT Le, LH Nguyen, MV Klibanov Journal of Applied and Industrial Mathematics 17 (4), 928-942, 2023 | 6 | 2023 |
The Carleman-Newton method to globally reconstruct a source term for nonlinear parabolic equation A Abhishek, T Le, L Nguyen, T Khan arXiv preprint arXiv:2209.08011, 2022 | 3 | 2022 |
Numerical verification of the convexification method for a frequency-dependent inverse scattering problem with experimental data T Le, VA Khoa, MV Klibanov, LH Nguyen, GW Bidney, VN Astratov Journal of Applied and Industrial Mathematics 17 (4), 908-927, 2023 | 2 | 2023 |
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients TT Le, LV Nguyen, LH Nguyen, H Park Computers & Mathematics with Applications 166, 77-90, 2024 | 1 | 2024 |
A Carleman-Picard approach for reconstructing zero-order coefficients in parabolic equations with limited data R Abney, TT Le, LH Nguyen, C Peters arXiv preprint arXiv:2309.14599, 2023 | 1 | 2023 |
The dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data DN Hao, TT Le, LH Nguyen arXiv preprint arXiv:2305.19528, 2023 | 1 | 2023 |
The Fourier-based dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data DN Hào, TT Le, LH Nguyen Communications in Nonlinear Science and Numerical Simulation 128, 107679, 2024 | | 2024 |
The Carleman convexification method for Hamilton-Jacobi equations on the whole space HPN Le, TT Le, LH Nguyen arXiv preprint arXiv:2206.09824, 2022 | | 2022 |
A Multivariate Newton-Raphson Method Approach to Extract Structural Dynamics Parameters During Milling Operations M Hashemitaheri, TT Le, H Cherukuri, T Khan AeroMat Conference and Exposition: AeroMat 2022, Pasadena, CA, USA, 2022 | | 2022 |
NUMERICAL METHOD FOR A 1D COEFFICIENT M Klibanov, TT Le, LH Nguyen, A Sullivan, L Nguyen INVERSE PROBLEMS AND IMAGING, 2021 | | 2021 |
The Dimensional Reduction Method for Solving a Nonlinear Inverse Heat Conduction Problem with Limited Boundary Data H Dinh-Nho, TT Le, L Nguyen Available at SSRN 4575191, 0 | | |
A Carleman-based reconstruction method for a 1D coefficient inverse problem with time-dependent experimental data T Le 2021 Fall Western Sectional Meeting, 0 | | |