Development and Optimization of Randomized Functional Numerical Methods for Solving the Practically Significant Fredholm Integral Equations of the Second Kind

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Development and Optimization of Randomized Functional Numerical Methods for Solving the Practically Significant Fredholm Integral Equations of the Second Kind. / Voytishek, A. V.

In: Journal of Applied and Industrial Mathematics, Vol. 12, No. 2, 01.04.2018, p. 382-394.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{15faad2415f94c0bbb4c1ea95835c962,

title = "Development and Optimization of Randomized Functional Numerical Methods for Solving the Practically Significant Fredholm Integral Equations of the Second Kind",

abstract = "Under study are the randomized algorithms for numerical solution of the Fredholm integral equations of the second kind (from the viewpoint of their application for the practically important problems of mathematical physics). The projection, grid and projection-grid methods are distinguished. Certain advantages of the projection and projection-grid methods are demonstrated (allowing using them for numerical solution of the equations with the integrable singularities in kernels and free terms).",

keywords = "applied Fredholm integral equations of the second kind, grid, integrable singularities, numerical randomized functional method, projection, projection-grid functional algorithm",

author = "Voytishek, {A. V.}",

year = "2018",

month = apr,

day = "1",

doi = "10.1134/S1990478918020187",

language = "English",

volume = "12",

pages = "382--394",

journal = "Journal of Applied and Industrial Mathematics",

issn = "1990-4789",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "2",

}

RIS

TY - JOUR

T1 - Development and Optimization of Randomized Functional Numerical Methods for Solving the Practically Significant Fredholm Integral Equations of the Second Kind

AU - Voytishek, A. V.

PY - 2018/4/1

Y1 - 2018/4/1

N2 - Under study are the randomized algorithms for numerical solution of the Fredholm integral equations of the second kind (from the viewpoint of their application for the practically important problems of mathematical physics). The projection, grid and projection-grid methods are distinguished. Certain advantages of the projection and projection-grid methods are demonstrated (allowing using them for numerical solution of the equations with the integrable singularities in kernels and free terms).

AB - Under study are the randomized algorithms for numerical solution of the Fredholm integral equations of the second kind (from the viewpoint of their application for the practically important problems of mathematical physics). The projection, grid and projection-grid methods are distinguished. Certain advantages of the projection and projection-grid methods are demonstrated (allowing using them for numerical solution of the equations with the integrable singularities in kernels and free terms).

KW - applied Fredholm integral equations of the second kind

KW - grid

KW - integrable singularities

KW - numerical randomized functional method

KW - projection

KW - projection-grid functional algorithm

UR - http://www.scopus.com/inward/record.url?scp=85047790167&partnerID=8YFLogxK

U2 - 10.1134/S1990478918020187

DO - 10.1134/S1990478918020187

M3 - Article

AN - SCOPUS:85047790167

VL - 12

SP - 382

EP - 394

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 2

ER -

ID: 13687110