Results 21 to 30 of about 652,963 (179)

On an inverse spectral problem for one integro-differential operator of fractional order

open access: yesJournal of Inverse and Ill-Posed Problems, 2019
An inverse spectral problem for some integro-differential operator of fractional order α ∈ ( 1 , 2 ) {\alpha\in(1,2)} is studied. We show that the specification of the spectrum together with a certain a priori information about the structure of the ...
M. Ignatiev
semanticscholar   +1 more source

Survey on the Inverse Spectral Problem [PDF]

open access: yesNotices 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.
openaire   +2 more sources

A Numerical Method for Inverse Spectral Problems

open access: yesBulletin 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.
openaire   +3 more sources

Method for solving inverse spectral problems on quantum star graphs [PDF]

open access: yesJournal of Inverse and Ill-Posed Problems, 2022
A new method for solving inverse spectral problems on quantum star graphs is proposed. The method is based on Neumann series of Bessel function representations for solutions of Sturm–Liouville equations. The representations admit estimates for the series
S. Avdonin, V. Kravchenko
semanticscholar   +1 more source

The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem [PDF]

open access: yesMathematical Models and Methods in Applied Sciences, 2022
In this paper we consider the generalized inverse iteration for computing ground states of the Gross-Pitaevskii eigenvector problem (GPE). For that we prove explicit linear convergence rates that depend on the maximum eigenvalue in magnitude of a ...
P. Henning
semanticscholar   +1 more source

Improved real-time dynamics from imaginary frequency lattice simulations [PDF]

open access: yes, 2017
The computation of real-time properties, such as transport coefficients or bound state spectra of strongly interacting quantum fields in thermal equilibrium is a pressing matter.
Pawlowski, Jan M., Rothkopf, Alexander
core   +2 more sources

Inverse spectral problem for Dirac operators by spectral data

open access: yesFilomat, 2017
This work deals with the solution of the inverse problem by spectral data for Dirac operators with piecewise continuous coefficient and spectral parameter contained in boundary condition. The main theorem on necessary and sufficient conditions for the solvability of inverse problem is proved. The algorithm of the reconstruction of potential
Akcay, Ozge, Mamedov, Khanlar R.
openaire   +3 more sources

On an inverse Robin spectral problem [PDF]

open access: yesInverse Problems, 2020
We consider the problem of the recovery of a Robin coefficient on a part $γ\subset \partial Ω$ 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 boundary condition on $\partial Ω\setminus γ$. We prove uniqueness, as
Santacesaria, Matteo   +1 more
openaire   +4 more sources

The Inverse Spectral Problem for Jacobi-Type Pencils [PDF]

open access: yes, 2017
In this paper we study the inverse spectral problem for Jacobi-type pencils. By a Jacobi-type pencil we mean the following pencil $J_5 - \lambda J_3$, where $J_3$ is a Jacobi matrix and $J_5$ is a semi-infinite real symmetric five-diagonal matrix with ...
Zagorodnyuk, Sergey M.
core   +3 more sources

Inverse Scattering Transform for the Camassa-Holm equation [PDF]

open access: yes, 2006
An Inverse Scattering Method is developed for the Camassa-Holm equation. As an illustration of our approach the solutions corresponding to the reflectionless potentials are explicitly constructed in terms of the scattering data.
Adrian Constantin   +21 more
core   +5 more sources

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