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08/16/2023
Efficient relaxation scheme for the SIR and related compartmental models
In this paper, we introduce a novel numerical approach for approximating...
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06/01/2023
Numerical verification of the convexification method for a frequency-dependent inverse scattering problem with experimental data
The reconstruction of physical properties of a medium from boundary meas...
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04/25/2023
An explicit Fourier-Klibanov method for an age-dependent tumor growth model of Gompertz type
This paper proposes an explicit Fourier-Klibanov method as a new approxi...
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06/22/2022
A variational frequency-dependent stabilization for the Helmholtz equation with noisy Cauchy data
This article considers a Cauchy problem of Helmholtz equations whose sol...
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06/20/2022
Numerical reconstruction for 3D nonlinear SAR imaging via a version of the convexification method
This work extends the applicability of our recent convexification-based ...
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04/17/2022
Initial state reconstruction on graphs
The presence of noise is an intrinsic problem in acquisition processes f...
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09/07/2021
Convergence of a spectral regularization of a time-reversed reaction-diffusion problem with high-order Sobolev-Gevrey smoothness
The present paper analyzes a spectral regularization of a time-reversed ...
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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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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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02/20/2020
Convergence analysis of a variational quasi-reversibility approach for an inverse hyperbolic heat conduction problem
We study a time-reversed hyperbolic heat conduction problem based upon t...
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01/29/2020
Constructing a variational quasi-reversibility method for a Cauchy problem for elliptic equations
In the recent developments of regularization theory for inverse and ill-...
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11/23/2019
