Results 21 to 30 of about 26,746 (306)
Global solvability of the inverse spectral problem for differential systems on a finite interval [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThe inverse spectral problem is studied for non-selfadjoint systems of ordinary differential equations on a finite interval. We provide necessary and sufficient conditions for the global solvability of the inverse problem, along with an algorithm for ...
Yurko, Vjacheslav Anatol'evich
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Sparse deterministic approximation of Bayesian inverse problems [PDF]
, 2011 We present a parametric deterministic formulation of Bayesian inverse problems with an input parameter from infinite-dimensional, separable Banach spaces.
A M Stuart +5 more
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Boundary Value Problems, 2020 We consider the non-self-adjoint Sturm–Liouville operator on a finite interval. The inverse spectral problem is studied, which consists in recovering this operator from its eigenvalues and generalized weight numbers.
Natalia P. Bondarenko
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Survey on the Inverse Spectral Problem [PDF]
Notices of the International Congress of Chinese Mathematicians, 2014 This is a survey of the inverse spectral problem on (mainly compact) Riemannian manifolds, with or without boundary. The emphasis is on wave invariants: on how wave invariants have been calculated and how they have been applied to concrete inverse spectral problems.
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Inverse spectral problems for Sturm–Liouville operators with partial information [PDF]
, 2014 In this paper, we study the inverse spectral problems for Sturm–Liouville operators with Robin boundary conditions and show that if the potential q on the interval [0,α] for some α∈[0,1) is given a priori, then the potential q on the whole interval [0,1]
Wang, Yu-Ping; Shieh, Chung-Tsun; Ma, Yan-Ting +1 more
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Inverse Spectral Problems for Schrödinger Operators [PDF]
Communications in Mathematical Physics, 2009 22 ...
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Etudes for the inverse spectral problem
Journal of the London Mathematical Society, 2023 AbstractIn this note, we study inverse spectral problems for canonical Hamiltonian systems, which encompass a broad class of second‐order differential equations on a half‐line. Our goal is to extend the classical results developed in the work of Marchenko, Gelfand–Levitan, and Krein to broader classes of canonical systems and to illustrate the solution
Makarov, Nikolai G., Poltoratski, Alexei
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Low-Coherence Interferometric Imaging: Solution of the One-Dimensional Inverse Scattering Problem [PDF]
, 2004 Optical coherence tomography (OCT) is a non-invasive imaging technique based on the use of light sources exhibiting a low degree of coherence. Low coherence interferometric microscopes have been successful in producing internal images of thin pieces of ...
Chaubell, Mario Julián
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A Numerical Method for Inverse Spectral Problems
Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", 2015 На основе метода Галеркина разработан новый численный метод решения обратных спектральных задач, порожденных дискретными полуограниченными снизу операторами. В отличии от метода решения обратных спектральных задач, основанного на теории регуляризованных следов дискретных полуограниченными снизу операторов, в разработанном методе ослаблены ограничения ...
KADCHENKO S.I., ZAKIROVA G.A.
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Frontiers in Neuroscience, 2023 Oscillatory processes at all spatial scales and on all frequencies underpin brain function. Electrophysiological Source Imaging (ESI) is the data-driven brain imaging modality that provides the inverse solutions to the source processes of the EEG, MEG ...
Deirel Paz-Linares +23 more
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