Mathematical and computational modeling of the diffraction problems by discrete singularities method

Nesvit, Kateryna

doi:10.1063/1.4902264

Cited by 2 publications

(4 citation statements)

References 3 publications

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“…These templates are regularities that are characteristic of data subsamples and can be compactly expressed in a human-understandable form. The search for templates is carried out by methods that are not limited by a priori assumptions about the sample structure and the type of values distribution of the indicators which are analyze [2].…”

Section: Introductionmentioning

confidence: 99%

“…large volumes of data [2]. Non-obvious -this means that the patterns found cannot be detected by standard information processing methods or by expert means.…”

mentioning

confidence: 99%

“…mathematical statistics: regression, cluster analysis, method of main components, statistical hypotheses testing; artifi cial neural networks, including deep learning methods; genetic and evolutionary optimization algorithms; methods of dependencies identifi cation and "machine learning" (machine learning); methods of artifi cial intelligence and data mining technologies; various modeling methods (including non-classical and empirical) [2].…”

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confidence: 99%

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Data Mining Methods

PYLYPIUK,

SHCHYRBA

2023

CSPK-PIONU. Pedagogical series

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Research is devoted to Data Mining methods. A comparison of classical and mathematical and statistical methods of data analysis was made. One of the variants of correlation analysis method for intelligent data analysis is proposed and described in an argumentative manner. The question of applying different methodologies for Data Mining is actual. Classically, the following methods of knowledge discovery and analysis are offered in Data Mining: classification; regression; forecasting time sequences (series); clustering; association. As mathematical and statistical methods of analysis in applied research, the most of authors offer such methods as: statistical hypothesis testing, regression models construction and research. Since most real models are not amenable to analysis using classical methods, including regression analysis, the authors propose to use correlational analysis method in Data Mining.

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Section: Introductionmentioning

confidence: 99%

“…large volumes of data [2]. Non-obvious -this means that the patterns found cannot be detected by standard information processing methods or by expert means.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

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Data Mining Methods

PYLYPIUK,

SHCHYRBA

2023

CSPK-PIONU. Pedagogical series

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“…Mathematical model more difficult structures with PEC thin strips above reflector have been considered in [21], with shielded dielectric layer based on singular integral equations in paper [22]. Some compared results for different structures which are resolve by discrete singularities method were consider in [23].…”

Section: Introductionmentioning

confidence: 99%

Computational modeling of hypersingular integral equations for 2D pre-cantor scattering structure

Nesvit

Gandel

2015

IJAMS

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This paper presents the investigative study to derive a computational model based on hypersingular integral equations for the pre-Cantor plane-parallel diffraction structure. Such structure consists of finite numbers of the thin impedance strips located in the XY plane. A plane transverse magnetic wave is incident from infinity on considered diffraction structure at an angle and need to find the total field resulting from the scattering. The model which is considered in this work is an approximation of real fractal antennas in two-dimensional case. Pre-fractal properties of grating allow producing the newest antennas for modern mobile devices due to their compact size and broadband properties. The purpose of this work is to develop computer model their structure using parametric representation of hypersingular integral operator, Nyström method with specific quadrature formulas. The numerical results have been obtained and investigated for pre-Cantor structures for calculating physics characteristics. These results have been compared and analyzed in different mathematical models and softwares.

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Mathematical and computational modeling of the diffraction problems by discrete singularities method

Cited by 2 publications

References 3 publications

Data Mining Methods

Data Mining Methods

Computational modeling of hypersingular integral equations for 2D pre-cantor scattering structure

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