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Adaptive Spectral Inversion for inverse medium problems
Inverse Problems, 2023 Abstract A nonlinear optimization method is proposed for the solution of inverse medium problems with spatially varying properties. To avoid the prohibitively large number of unknown control variables resulting from standard grid-based representations, the misfit is instead minimized in a small subspace spanned by the first few ...
Yannik G Gleichmann, Marcus J Grote
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Differential operators on graphs with a cycle [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 An inverse problem of spectral analysis is studied for Sturm – Liouville differential operators on a graph with a cycle. We pay the main attention to the most important nonlinear inverse problem of recovering coefficients of differential ...
Yurko, Vyacheslav Anatol'evich
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On an inverse Robin spectral problem [PDF]
Inverse Problems, 2020 Abstract We consider the problem of the recovery of a Robin coefficient on a part γ ⊂ ∂Ω of the boundary of a bounded domain Ω from the principal eigenvalue and the boundary values of the normal derivative of the principal eigenfunction of the Laplace operator with Dirichlet
Santacesaria, Matteo +1 more
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Adaptive spectral decompositions for inverse medium problems [PDF]
Inverse Problems, 2021 Abstract Inverse medium problems involve the reconstruction of a spatially varying unknown medium from available observations by exploring a restricted search space of possible solutions. Standard grid-based representations are very general but all too often computationally prohibitive due to the high dimension of
Daniel H Baffet +2 more
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Inverse Spectral Problem for a Damped Wave Operator [PDF]
SIAM Journal on Applied Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gang Bao 0004, Xiang Xu, Jian Zhai
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Mathematics, 2023 We consider an inverse spectral problem that consists in the recovery of the differential expression coefficients for higher-order operators with separate boundary conditions from the spectral data (eigenvalues and weight numbers).
Natalia P. Bondarenko
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On Recovering Differential Operators on a Closed Set from Spectra [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2019 The Sturm – Liouville differential operators on closed sets of the real line are considered. Properties of their spectral characteristics are obtained and the inverse problem of recovering the operators from their spectra is studied. An algorithm for the
Yurko, Vyacheslav Anatol'evich
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Inverse Conformable Sturm-Liouville Problems with a Transmission and Eigen-Parameter Dependent Boundary Conditions [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we provide a different uniqueness results for inverse spectral problems of conformable fractional Sturm-Liouville operators of order $\alpha$ ($0 < \alpha\leq 1$), with a jump and eigen-parameter dependent boundary conditions. Further,
Mohammad Shahriari, Reza Akbari
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Jacobi spectral collocation technique for fractional inverse parabolic problem
Alexandria Engineering Journal, 2022 We present an efficient numerical solution for the fractional inverse parabolic problem with an unknown condition in this study. In addition to the unknown temperature function, the suggested fractional inverse parabolic problem also has an unknown ...
M.A. Abdelkawy +3 more
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Integration of the Negative Order Korteweg-de Vries Equation with a Special Source
Известия Иркутского государственного университета: Серия "Математика", 2023 In this paper, we consider the negative order Korteweg-de Vries equation with a self-consistent source corresponding to the eigenvalues of the corresponding spectral problem. It is shown that the considered equation can be integrated by the method of the
G.U. Urazboev +2 more
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