Results 21 to 30 of about 20,411 (217)

Analysis and methodology of determining the norm of eigenfunctions as a limit transition in the scalar product in the spectral Stourm-Louvile problem for a photonic one-dimensional crystal

open access: yesВісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електроніка, 2023
Relevance The last of the decades (approximately from the 90s of the 20th century) to rapid grow of photonics. That's why, firstly, relevance this work is related to relevance diffraction problems for the structures of optics ranges (photonic crystal ...
О.V. Kazanko, О.E. Penkina
doaj   +1 more source

Dynamical Transmission and Mathematical Analysis of Ebola Virus Using a Constant Proportional Operator with a Power Law Kernel

open access: yesFractal and Fractional, 2023
The Ebola virus continues to be the world’s biggest cause of mortality, especially in developing countries, despite the availability of safe and effective immunization.
Changjin Xu, Muhammad Farman
doaj   +1 more source

The nonlocal boundary value problem with perturbations of mixed boundary conditions for an elliptic equation with constant coefficients. I

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
In this article we investigate a problem with nonlocal boundary conditions which are multipoint perturbations of mixed boundary conditions in the unit square $G$ using the Fourier method. The properties of a generalized transformation operator $R: L_2(G)
Ya.O. Baranetskij   +3 more
doaj   +1 more source

Eigenvalue Problem for a Reduced Dynamo Model in Thick Astrophysical Discs

open access: yesMathematics, 2023
Magnetic fields of different astrophysical objects are generated by the dynamo mechanism. Dynamo is based on the alpha-effect and differential rotation, which are described using a system of parabolic equations.
Evgeny Mikhailov, Maria Pashentseva
doaj   +1 more source

The nonlocal problem for the differential-operator equation of the even order with the involution

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
In this paper, the problem with boundary nonself-adjoint conditions for a differential-operator equations of the order $2n$ with involution is studied. Spectral properties of operator of the problem is investigated.
Ya.O. Baranetskij   +3 more
doaj   +1 more source

Matching the LBO Eigenspace of Non-Rigid Shapes via High Order Statistics

open access: yesAxioms, 2014
A fundamental tool in shape analysis is the virtual embedding of the Riemannian manifold describing the geometry of a shape into Euclidean space. Several methods have been proposed to embed isometric shapes into flat domains, while preserving the ...
Alon Shtern, Ron Kimmel
doaj   +1 more source

Initial and boundary value problems in two and three dimensions [PDF]

open access: yes, 2010
This thesis: (a) presents the solution of several boundary value problems (BVPs) for the Laplace and the modified Helmholtz equations in the interior of an equilateral triangle; (b) presents the solution of the heat equation in the interior of an ...

core   +2 more sources

Prony Method for Two-Generator Sparse Expansion Problem

open access: yesMathematical and Computational Applications, 2022
In data analysis and signal processing, the recovery of structured functions from the given sampling values is a fundamental problem. Many methods generalized from the Prony method have been developed to solve this problem; however, the current research ...
Abdulmtalb Hussen, Wenjie He
doaj   +1 more source

The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange - Sturm - Liouville [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020
Let us say that the principle of localization holds at the class of functions $F$ at point $x_0 \in [0, \pi]$ for the Lagrange\,--\,Sturm\,--\,Liouville interpolation process $L_n^{SL}(f,x)$ if $\lim_{n \rightarrow \infty}\left|L_n^{SL}(f, x_0)-L_n^{SL ...
Aleksandr Yurievich Trynin   +1 more
doaj   +1 more source

Experimental Results of Partial Discharge Localization in Bounded Domains

open access: yesSensors, 2021
This work presents a novel diagnostic method to localize Partial Discharges (PDs) inside Medium Voltage (MV) and High Voltage (HV) equipment. The method is well suited for that equipment presenting a bounded domain with fixed Boundary Conditions (BCs ...
Luca Perfetto, Gabriele D’Antona
doaj   +1 more source

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