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Michael V. Klibanov
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2020 – today
- 2024
- [j35]Michael V. Klibanov, Yurii V. Averboukh:
Lipschitz Stability Estimate and Uniqueness in the Retrospective Analysis for the Mean Field Games System via Two Carleman Estimates. SIAM J. Math. Anal. 56(1): 616-636 (2024) - [i28]Michael V. Klibanov, Jingzhi Li, Zhipeng Yang:
Spatiotemporal Monitoring of Epidemics via Solution of a Coefficient Inverse Problem. CoRR abs/2401.02070 (2024) - [i27]Michael V. Klibanov, Jingzhi Li, Zhipeng Yang:
Convexification for a Coefficient Inverse Problem for a System of Two Coupled Nonlinear Parabolic Equations. CoRR abs/2405.10479 (2024) - 2023
- [j34]Michael V. Klibanov, Jingzhi Li, Wenlong Zhang:
Numerical solution of the 3-D travel time tomography problem. J. Comput. Phys. 476: 111910 (2023) - [j33]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) - [j32]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) - [i26]Michael V. Klibanov, Alexandre A. Timonov:
A comparative study of two globally convergent numerical methods for acoustic tomography. CoRR abs/2301.05817 (2023) - [i25]Michael V. Klibanov, Jingzhi Li, Zhipeng Yang:
Convexification for the Viscocity Solution for a Coefficient Inverse Problem for the Radiative Transfer Equation. CoRR abs/2302.12474 (2023) - [i24]Phuong M. Nguyen, Thuy T. Le
, Loc H. Nguyen, Michael V. Klibanov:
Numerical differentiation by the polynomial-exponential basis. CoRR abs/2304.05909 (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]Michael V. Klibanov, Jingzhi Li, Zhipeng Yang:
Convexification Numerical Method for the Retrospective Problem of Mean Field Games. CoRR abs/2306.14404 (2023) - [i21]Michael V. Klibanov, Jingzhi Li, Zhipeng Yang:
Convexification for a Coefficient Inverse Problem of Mean Field Games. CoRR abs/2310.08878 (2023) - 2022
- [j31]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) - [j30]Michael V. Klibanov, Jingzhi Li
, Wenlong Zhang:
A Globally Convergent Numerical Method for a 3D Coefficient Inverse Problem for a Wave-Like Equation. SIAM J. Sci. Comput. 44(5): 3341- (2022) - [i20]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) - [i19]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) - [i18]Michael V. Klibanov, Jingzhi Li, Wenlong Zhang:
Numerical Solution of the 3-D Travel Time Tomography Problem. CoRR abs/2209.09420 (2022) - [i17]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
- [j29]Michael V. Klibanov, Jingzhi Li
, Wenlong Zhang:
Linear Lavrent'ev Integral Equation for the Numerical Solution of a Nonlinear Coefficient Inverse Problem. SIAM J. Appl. Math. 81(5): 1954-1978 (2021) - [j28]Michael V. Klibanov
, Alexey V. Smirnov
, Vo Anh Khoa
, Anders J. Sullivan, Lam H. Nguyen:
Through-the-Wall Nonlinear SAR Imaging. IEEE Trans. Geosci. Remote. Sens. 59(9): 7475-7486 (2021) - [i16]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) - [i15]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) - [i14]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) - [i13]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) - [i12]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) - [i11]Michael V. Klibanov, Jingzhi Li, Wenlong Zhang:
A globally convergent numerical method for a 3D coefficient inverse problem for a wave-like equation. CoRR abs/2111.04242 (2021) - 2020
- [j27]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) - [j26]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) - [i10]Michael V. Klibanov, Jingzhi Li, Wenlong Zhang:
Convexification for an Inverse Parabolic Problem. CoRR abs/2001.01880 (2020) - [i9]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) - [i8]Trung Truong, Dinh-Liem Nguyen, Michael V. Klibanov:
Convexification numerical algorithm for a 2D inverse scattering problem with backscatter data. CoRR abs/2002.08427 (2020) - [i7]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) - [i6]Alexey V. Smirnov, Michael V. Klibanov, Anders Sullivan, Lam H. Nguyen:
Convexification for an Inverse Problem for a 1D Wave Equation with Experimental Data. CoRR abs/2004.04839 (2020) - [i5]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) - [i4]Michael V. Klibanov, Alexey V. Smirnov, Vo Anh Khoa, Anders J. Sullivan, Lam H. Nguyen:
Through-the-Wall Nonlinear SAR Imaging. CoRR abs/2008.12622 (2020) - [i3]Michael V. Klibanov, Jingzhi Li, Wenlong Zhang:
Linear Lavrent'ev Integral Equation for the Numerical Solution of a Nonlinear Coefficient Inverse Problem. CoRR abs/2010.14144 (2020)
2010 – 2019
- 2019
- [j25]Michael V. Klibanov, Aleksandr E. Kolesov:
Convexification of a 3-D coefficient inverse scattering problem. Comput. Math. Appl. 77(6): 1681-1702 (2019) - [j24]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) - [j23]Michael V. Klibanov, Jingzhi Li
, Wenlong Zhang:
Convexification for the Inversion of a Time Dependent Wave Front in a Heterogeneous Medium. SIAM J. Appl. Math. 79(5): 1722-1747 (2019) - [j22]Michael V. Klibanov, Aleksandr E. Kolesov, Dinh-Liem Nguyen:
Convexification Method for an Inverse Scattering Problem and Its Performance for Experimental Backscatter Data for Buried Targets. SIAM J. Imaging Sci. 12(1): 576-603 (2019) - [j21]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
- [j20]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
- [j19]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) - [j18]Michael V. Klibanov, Aleksandr E. Kolesov, Lam H. Nguyen, Anders Sullivan:
Globally Strictly Convex Cost Functional for a 1-D Inverse Medium Scattering Problem with Experimental Data. SIAM J. Appl. Math. 77(5): 1733-1755 (2017) - 2016
- [j17]Michael V. Klibanov:
On a problem of S.L. Sobolev. Appl. Math. Lett. 59: 1-5 (2016) - [j16]Michael V. Klibanov, Vladimir G. Romanov:
Reconstruction Procedures for Two Inverse Scattering Problems Without the Phase Information. SIAM J. Appl. Math. 76(1): 178-196 (2016) - 2015
- [j15]Larisa Beilina
, Nguyen Trung Thành, Michael V. Klibanov, John Bondestam Malmberg
:
Globally convergent and adaptive finite element methods in imaging of buried objects from experimental backscattering radar measurements. J. Comput. Appl. Math. 289: 371-391 (2015) - [j14]Michael V. Klibanov, Nguyen Trung Thành:
Recovering Dielectric Constants of Explosives via a Globally Strictly Convex Cost Functional. SIAM J. Appl. Math. 75(2): 518-537 (2015) - [j13]Nguyen Trung Thành, Larisa Beilina
, Michael V. Klibanov, Michael A. Fiddy:
Imaging of Buried Objects from Experimental Backscattering Time-Dependent Measurements Using a Globally Convergent Inverse Algorithm. SIAM J. Imaging Sci. 8(1): 757-786 (2015) - 2014
- [j12]Michael V. Klibanov:
On the first solution of a long standing problem: Uniqueness of the phaseless quantum inverse scattering problem in 3-d. Appl. Math. Lett. 37: 82-85 (2014) - [j11]Michael V. Klibanov:
Phaseless Inverse Scattering Problems in Three Dimensions. SIAM J. Appl. Math. 74(2): 392-410 (2014) - [j10]Nguyen Trung Thành, Larisa Beilina, Michael V. Klibanov, Michael A. Fiddy:
Reconstruction of the Refractive Index from Experimental Backscattering Data Using a Globally Convergent Inverse Method. SIAM J. Sci. Comput. 36(3) (2014) - 2013
- [j9]Andrey V. Kuzhuget, Larisa Beilina
, Michael V. Klibanov, Anders Sullivan, Lam H. Nguyen, Michael A. Fiddy:
Quantitative Image Recovery From Measured Blind Backscattered Data Using a Globally Convergent Inverse Method. IEEE Trans. Geosci. Remote. Sens. 51(5-2): 2937-2948 (2013) - 2010
- [j8]Jianguo Xin, Larisa Beilina
, Michael V. Klibanov:
Globally Convergent Numerical Methods for Some Coefficient Inverse Problems. Comput. Sci. Eng. 12(5): 64-77 (2010)
2000 – 2009
- 2009
- [p1]Anita Raja, Michael V. Klibanov:
A Distributed Numerical Approach for Managing Uncertainty in Large-Scale Multi-agent Systems. Safety and Security in Multiagent Systems 2009: 80-89 - 2008
- [j7]Barbara Kaltenbacher
, Michael V. Klibanov:
An Inverse Problem for a Nonlinear Parabolic Equation with Applications in Population Dynamics and Magnetics. SIAM J. Math. Anal. 39(6): 1863-1889 (2008) - [j6]Jianguo Xin, Michael V. Klibanov:
Numerical Solution of an Inverse Problem of Imaging of Antipersonnel Land Mines By the Globally Convergent Convexification Algorithm. SIAM J. Sci. Comput. 30(6): 3170-3196 (2008) - [j5]Larisa Beilina, Michael V. Klibanov:
A Globally Convergent Numerical Method for a Coefficient Inverse Problem. SIAM J. Sci. Comput. 31(1): 478-509 (2008) - 2007
- [j4]Michael V. Klibanov, Masahiro Yamamoto:
Exact Controllability for the Time Dependent Transport Equation. SIAM J. Control. Optim. 46(6): 2071-2195 (2007) - [j3]Christian Clason
, Michael V. Klibanov:
The Quasi-Reversibility Method for Thermoacoustic Tomography in a Heterogeneous Medium. SIAM J. Sci. Comput. 30(1): 1-23 (2007) - 2001
- [j2]Yuriy A. Gryazin
, Michael V. Klibanov, Thomas R. Lucas:
Numerical Solution of a Subsurface Imaging Inverse Problem. SIAM J. Appl. Math. 62(2): 664-683 (2001) - [c1]Thomas P. Weldon, Yuriy A. Gryazin, Michael V. Klibanov:
Novel inverse methods in land mine imaging. ICASSP 2001: 1897-1900
1990 – 1999
- 1999
- [j1]Michael V. Klibanov, Thomas R. Lucas:
Numerical Solution of a Parabolic Inverse Problem in Optical Tomography Using Experimental Data. SIAM J. Appl. Math. 59(5): 1763-1789 (1999)
Coauthor Index
aka: Loc Hoang Nguyen
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