Michael V. Klibanov

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 47

Top Topics

Cost Functional

Globally Convergent

Experimental Data

Top Venues

SIAM J. Appl. Math.

SIAM J. Imaging Sci.

SIAM J. Sci. Comput.

Publications

Michael V. Klibanov, Yurii 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) (2024)
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
Convexification for a Coefficient Inverse Problem for a System of Two Coupled Nonlinear Parabolic Equations. CoRR (2024)
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
Spatiotemporal Monitoring of Epidemics via Solution of a Coefficient Inverse Problem. CoRR (2024)
Phuong M. Nguyen, Thuy T. Le, Loc H. Nguyen, Michael V. Klibanov
Numerical differentiation by the polynomial-exponential basis. CoRR (2023)
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
Convexification Numerical Method for the Retrospective Problem of Mean Field Games. CoRR (2023)
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
Convexification for the Viscocity Solution for a Coefficient Inverse Problem for the Radiative Transfer Equation. CoRR (2023)
Michael V. Klibanov, Jingzhi Li, Wenlong Zhang
Numerical solution of the 3-D travel time tomography problem. J. Comput. Phys. 476 (2023)
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) (2023)
Michael V. Klibanov, Alexandre A. Timonov
A comparative study of two globally convergent numerical methods for acoustic tomography. CoRR (2023)
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) (2023)
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
Convexification for a Coefficient Inverse Problem of Mean Field Games. CoRR (2023)
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 (2022)
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 (2022)
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) (2022)
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 (2022)
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) (2021)
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) (2021)
Michael V. Klibanov, Jingzhi Li, Wenlong Zhang
A globally convergent numerical method for a 3D coefficient inverse problem for a wave-like equation. CoRR (2021)
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 (2021)
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 (2021)
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 (2021)
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 (2021)
Loc Hoang Nguyen, Michael V. Klibanov
Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equation. CoRR (2021)
Michael V. Klibanov, Alexey V. Smirnov, Vo Anh Khoa, Anders J. Sullivan, Lam H. Nguyen
Through-the-Wall Nonlinear SAR Imaging. CoRR (2020)
Michael V. Klibanov, Jingzhi Li, Wenlong Zhang
Convexification for an Inverse Parabolic Problem. CoRR (2020)
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 (2020)
Michael V. Klibanov, Dinh-Liem Nguyen
Convergence of a series associated with the convexification method for coefficient inverse problems. CoRR (2020)
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 (2020)
Michael V. Klibanov, Jingzhi Li, Wenlong Zhang
Linear Lavrent'ev Integral Equation for the Numerical Solution of a Nonlinear Coefficient Inverse Problem. CoRR (2020)
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 (2020)
Alexey V. Smirnov, Michael V. Klibanov, Loc H. Nguyen
Convexification for a 1D Hyperbolic Coefficient Inverse Problem with Single Measurement Data. CoRR (2020)
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) (2020)
Trung Truong, Dinh-Liem Nguyen, Michael V. Klibanov
Convexification numerical algorithm for a 2D inverse scattering problem with backscatter data. CoRR (2020)
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) (2019)
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) (2019)
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) (2019)
Michael V. Klibanov, Thuy T. Le, Loc H. Nguyen
Convergent numerical method for a linearized travel time tomography problem with incomplete data. CoRR (2019)
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) (2019)
Michael V. Klibanov, Aleksandr E. Kolesov
Convexification of a 3-D coefficient inverse scattering problem. Comput. Math. Appl. 77 (6) (2019)
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) (2018)
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) (2017)
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 (2017)
Michael V. Klibanov, Vladimir G. Romanov
Reconstruction Procedures for Two Inverse Scattering Problems Without the Phase Information. SIAM J. Appl. Math. 76 (1) (2016)
Michael V. Klibanov
On a problem of S.L. Sobolev. Appl. Math. Lett. 59 (2016)
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) (2015)
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 (2015)
Michael V. Klibanov, Nguyen Trung Thành
Recovering Dielectric Constants of Explosives via a Globally Strictly Convex Cost Functional. SIAM J. Appl. Math. 75 (2) (2015)
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 (2014)
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)
Michael V. Klibanov
Phaseless Inverse Scattering Problems in Three Dimensions. SIAM J. Appl. Math. 74 (2) (2014)
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) (2013)
Jianguo Xin, Larisa Beilina, Michael V. Klibanov
Globally Convergent Numerical Methods for Some Coefficient Inverse Problems. Comput. Sci. Eng. 12 (5) (2010)
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) (2008)
Larisa Beilina, Michael V. Klibanov
A Globally Convergent Numerical Method for a Coefficient Inverse Problem. SIAM J. Sci. Comput. 31 (1) (2008)
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) (2008)
Michael V. Klibanov, Masahiro Yamamoto
Exact Controllability for the Time Dependent Transport Equation. SIAM J. Control. Optim. 46 (6) (2007)
Christian Clason, Michael V. Klibanov
The Quasi-Reversibility Method for Thermoacoustic Tomography in a Heterogeneous Medium. SIAM J. Sci. Comput. 30 (1) (2007)
Yuriy A. Gryazin, Michael V. Klibanov, Thomas R. Lucas
Numerical Solution of a Subsurface Imaging Inverse Problem. SIAM J. Appl. Math. 62 (2) (2001)
Thomas P. Weldon, Yuriy A. Gryazin, Michael V. Klibanov
Novel inverse methods in land mine imaging. ICASSP (2001)
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) (1999)