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06/26/2023
Convexification Numerical Method for the Retrospective Problem of Mean Field Games
The convexification numerical method with the rigorously established glo...
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04/12/2023
Numerical differentiation by the polynomial-exponential basis
Our objective is to calculate the derivatives of data corrupted by noise...
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02/24/2023
Convexification for the Viscocity Solution for a Coefficient Inverse Problem for the Radiative Transfer Equation
A Coefficient Inverse Problem for the radiative transport equation is co...
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01/14/2023
A comparative study of two globally convergent numerical methods for acoustic tomography
The comparative study of two globally convergent numerical methods for a...
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12/23/2022
Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation
The first globally convergent numerical method for a Coefficient Inverse...
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06/23/2022
Convexification for a CIP for the RTE]Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation
An ( n+1) -D coefficient inverse problem for the radiative stationary tr...
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09/23/2021
Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data
It is shown that the contraction mapping principle with the involvement ...
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08/07/2021
Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equation
The main aim of this paper is to solve an inverse source problem for a g...
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04/23/2021
Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data
To compute the spatially distributed dielectric constant from the backsc...
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08/28/2020
Through-the-Wall Nonlinear SAR Imaging
An inverse scattering problem for SAR data in application to through-the...
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05/29/2020
An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data
This report extends our recent progress in tackling a challenging 3D inv...
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04/12/2020
Convergence of a series associated with the convexification method for coefficient inverse problems
This paper is concerned with the convergence of a series associated with...
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03/25/2020
Convexification and experimental data for a 3D inverse scattering problem with the moving point source
Inverse scattering problems of the reconstructions of physical propertie...
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02/04/2020
Convexification for a 1D Hyperbolic Coefficient Inverse Problem with Single Measurement Data
A version of the convexification numerical method for a Coefficient Inve...
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11/11/2019