Results 1 to 10 of about 112,539 (200)
A method of generating a random optical field using the Karhunen-Loeve expansion to simulate atmospheric turbulence [PDF]
It is proposed to use the random field generation in the numerical simulation of the propagation of radiation through a random medium using method based on the Karhunen–Loeve expansion with various types of correlation operators to describe turbulence ...
Svetlana Khonina +2 more
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Comparison of Direct and Adjoint k and α-Eigenfunctions
Modal expansions based on k-eigenvalues and α-eigenvalues are commonly used in order to investigate the reactor behaviour, each with a distinct point of view: the former is related to fission generations, whereas the latter is related to time. Well-known
Vito Vitali +4 more
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Higher-spin initial data in twistor space with complex stargenvalues
This paper is a supplement to and extension of arXiv:1903.01399. In the internal twistor space of the 4D Vasiliev’s higher-spin gravity, we study the star-product eigenfunctions of number operators with generic complex eigenvalues.
Yihao Yin
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An estimation of the eigenfunctions of periodic Sturm-Liouville problems
In this paper, the numerical estimations for the eigenfunctions corresponding to the eigenvalues of Sturm-Liouville problem with periodic and semi-periodic boundary conditions are considered.
Seza Dinibutun
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Non-classical periodic boundary value problems with impulsive conditions
This study investigates some spectral properties of a new type of periodic Sturm-Liouville problem. The problem under consideration differs from the classical ones in that the differential equation is given on two disjoint segments that have a common end,
Sevda Nur Öztürk +2 more
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Method for determining eigen numbers in heat conduction problems for a cylinder
RELEVANCE. Due to the difficulties of finding eigenvalues and proper functions for bodies with axial (cylinder) and central (ball) symmetries defined in classical methods from the edge Sturm-Liouville problems, including Bessel equations whose exact ...
E. V. Kotova +2 more
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Solvability of Mixed Problems for a Fourth-Order Equation with Involution and Fractional Derivative
In the present work, two-dimensional mixed problems with the Caputo fractional order differential operator are studied using the Fourier method of separation of variables.
Mokhtar Kirane, Abdissalam A. Sarsenbi
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Concentration of symmetric eigenfunctions [PDF]
8 ...
Azagra, Daniel, Macia Lang, Fabricio
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The history of boundary value problems for differential equations starts with the well-known studies of D. Bernoulli, J. D’Alambert, C. Sturm, J. Liouville, L. Euler, G. Birkhoff and V. Steklov.
Oktay Sh. Mukhtarov, Merve Yücel
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Variational characterizations for eigenfunctions of analytic self-adjoint operator functions [PDF]
In this paper we consider Rellich's diagonalization theorem for analytic self-adjoint operator functions and investigate variational principles for their eigenfunctions and interlacing statements.
Georgios Katsouleas, John Maroulas
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