56 citations · 510 across the 96 of their papers we have counts for
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Convexification for a Coefficient Inverse Problem of Mean Field Games
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
The globally convergent convexification numerical method is constructed for a Coefficient Inverse Problem for the Mean Field Games System. A coefficient characterizing the global i…
Convexification Numerical Method for the Retrospective Problem of Mean Field Games
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
The convexification numerical method with the rigorously established global convergence property is constructed for a problem for the Mean Field Games System of the second order. T…
Numerical verification of the convexification method for a frequency-dependent inverse scattering problem with experimental data
Thuy Le, Vo Anh Khoa, Michael Victor Klibanov +3
The reconstruction of physical properties of a medium from boundary measurements, known as inverse scattering problems, presents significant challenges. The present study aims to v…
Numerical differentiation by the polynomial-exponential basis
Phuong M. Nguyen, Thuy T. Le, Loc H. Nguyen +1
Our objective is to calculate the derivatives of data corrupted by noise. This is a challenging task as even small amounts of noise can result in significant errors in the computat…
Convexification for the Viscocity Solution for a Coefficient Inverse Problem for the Radiative Transfer Equation
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
A Coefficient Inverse Problem for the radiative transport equation is considered. The globally convergent numerical method, the so-called convexification, is developed. For the fir…
A comparative study of two globally convergent numerical methods for acoustic tomography
Michael V. Klibanov, Alexandre A. Timonov
The comparative study of two globally convergent numerical methods for acoustic tomography is carried out in two dimensions. These are the boundary control method and the quasi-rev…