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2020 – today
- 2024
[j18]Huynh P. N. Le, Thuy T. Le
, Loc H. Nguyen:
The Carleman convexification method for Hamilton-Jacobi equations. Comput. Math. Appl. 159: 173-185 (2024)- [j17]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: 77-90 (2024) - [j16]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: 107679 (2024) - [j15]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: 115827 (2024) - [i26]Phuong M. Nguyen, Loc H. Nguyen:
A robust approach with numerical demonstrations for the inverse scattering problem using a Carleman contraction map. CoRR abs/2404.04145 (2024) - 2023
- [j14]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): 35-63 (2023) - [j13]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): 1762-1790 (2023) - [i25]Phuong M. Nguyen, Thuy T. Le, Loc H. Nguyen, Michael V. Klibanov:
Numerical differentiation by the polynomial-exponential basis. CoRR abs/2304.05909 (2023) - [i24]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 abs/2305.19528 (2023) - [i23]Thuy T. Le, Vo Anh Khoa, Michael Victor Klibanov, Loc Hoang Nguyen, Grant W. Bidney, Vasily N. Astratov:
Numerical verification of the convexification method for a frequency-dependent inverse scattering problem with experimental data. CoRR abs/2306.00761 (2023) - [i22]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 abs/2308.13152 (2023) - [i21]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 abs/2309.14599 (2023) - 2022
- [j12]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: 13-24 (2022) - [j11]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: 239-248 (2022) - [j10]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: 110828 (2022) - [j9]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): 74 (2022) - [i20]Loc Hoang Nguyen:
The Carleman-contraction method to solve quasi-linear elliptic equations. CoRR abs/2203.12694 (2022) - [i19]Dinh-Liem Nguyen, Loc H. Nguyen, Trung Truong:
The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations. CoRR abs/2204.06060 (2022) - [i18]Vo Anh Khoa, Michael Victor Klibanov, William Grayson Powell, Loc Hoang Nguyen:
Numerical reconstruction for 3D nonlinear SAR imaging via a version of the convexification method. CoRR abs/2206.09539 (2022) - [i17]Huynh P. N. Le, Thuy T. Le, Loc H. Nguyen:
The Carleman convexification method for Hamilton-Jacobi equations on the whole space. CoRR abs/2206.09824 (2022) - [i16]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 abs/2206.11675 (2022) - [i15]Loc H. Nguyen, Huong T. Vu:
Reconstructing a space-dependent source term via the quasi-reversibility method. CoRR abs/2210.09112 (2022) - [i14]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 abs/2212.12593 (2022) - 2021
- [j8]Thuy T. Le, Loc H. Nguyen, Thi-Phong Nguyen, William Grayson Powell:
The Quasi-reversibility Method to Numerically Solve an Inverse Source Problem for Hyperbolic Equations. J. Sci. Comput. 87(3): 90 (2021) - [i13]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 abs/2103.04159 (2021) - [i12]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 abs/2103.10431 (2021) - [i11]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 abs/2104.05870 (2021) - [i10]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 abs/2104.11392 (2021) - [i9]Loc Hoang Nguyen, Michael V. Klibanov:
Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equation. CoRR abs/2108.03500 (2021) - [i8]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 abs/2108.07914 (2021) - [i7]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 abs/2109.11098 (2021) - 2020
- [j7]Loc Hoang Nguyen:
A new algorithm to determine the creation or depletion term of parabolic equations from boundary measurements. Comput. Math. Appl. 80(10): 2135-2149 (2020) - [j6]Vo Anh Khoa, Michael Victor Klibanov, Loc Hoang Nguyen:
Convexification for a Three-Dimensional Inverse Scattering Problem with the Moving Point Source. SIAM J. Imaging Sci. 13(2): 871-904 (2020) - [j5]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): B1173-B1192 (2020) - [i6]Alexey V. Smirnov, Michael V. Klibanov, Loc H. Nguyen:
Convexification for a 1D Hyperbolic Coefficient Inverse Problem with Single Measurement Data. CoRR abs/2002.01074 (2020) - [i5]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 abs/2003.11513 (2020) - [i4]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 abs/2006.00913 (2020) - [i3]Thuy T. Le, Loc H. Nguyen, Thi-Phong Nguyen, William Grayson Powell:
The quasi-reversibility method to numerically solve an inverse source problem for hyperbolic equations. CoRR abs/2011.04855 (2020)
2010 – 2019
- 2019
- [j4]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): 1-27 (2019) - [j3]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): B929-B952 (2019) - [i2]Michael V. Klibanov, Thuy T. Le, Loc H. Nguyen:
Convergent numerical method for a linearized travel time tomography problem with incomplete data. CoRR abs/1911.04581 (2019) - [i1]Vo Anh Khoa, Michael Victor Klibanov, Loc Hoang Nguyen:
Convexification for a 3D inverse scattering problem with the moving point source. CoRR abs/1911.10289 (2019) - 2018
- [j2]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): 2339-2367 (2018) - 2017
- [j1]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: 17-32 (2017)
Coauthor Index
aka: Michael Victor Klibanov
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