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]

open access: yesКомпьютерная оптика, 2020
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
doaj   +1 more source

Comparison of Direct and Adjoint k and α-Eigenfunctions

open access: yesJournal of Nuclear Engineering, 2021
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
doaj   +1 more source

Higher-spin initial data in twistor space with complex stargenvalues

open access: yesJournal of High Energy Physics, 2020
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
doaj   +1 more source

An estimation of the eigenfunctions of periodic Sturm-Liouville problems

open access: yesArab Journal of Basic and Applied Sciences, 2021
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
doaj   +1 more source

Non-classical periodic boundary value problems with impulsive conditions

open access: yesJournal of New Results in Science, 2023
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
doaj   +1 more source

Method for determining eigen numbers in heat conduction problems for a cylinder

open access: yesИзвестия высших учебных заведений: Проблемы энергетики, 2023
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
doaj   +1 more source

Solvability of Mixed Problems for a Fourth-Order Equation with Involution and Fractional Derivative

open access: yesFractal and Fractional, 2023
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
doaj   +1 more source

Concentration of symmetric eigenfunctions [PDF]

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2010
8 ...
Azagra, Daniel, Macia Lang, Fabricio
openaire   +4 more sources

A Study of the Eigenfunctions of the Singular Sturm–Liouville Problem Using the Analytical Method and the Decomposition Technique

open access: yesMathematics, 2020
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
doaj   +1 more source

Variational characterizations for eigenfunctions of analytic self-adjoint operator functions [PDF]

open access: yesOpuscula Mathematica, 2013
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
doaj   +1 more source

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