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A REGULARIZED LEVENBERG-MARQUARDT TYPE METHOD APPLIED TO THE STRUCTURAL INVERSE GRAVITY PROBLEM IN A MULTILAYER MEDIUM AND ITS PARALLEL REALIZATION\AST. / Skurydina, A. F.
в: Вестник Южно-Уральского государственного университета. Серия: Вычислительная математика и информатика, Том 6, № 3, 2017, стр. 5-15.

Результаты исследований: Вклад в журнал › Статья › Рецензирование

Harvard

Skurydina, AF 2017, 'A REGULARIZED LEVENBERG-MARQUARDT TYPE METHOD APPLIED TO THE STRUCTURAL INVERSE GRAVITY PROBLEM IN A MULTILAYER MEDIUM AND ITS PARALLEL REALIZATION\AST', Вестник Южно-Уральского государственного университета. Серия: Вычислительная математика и информатика, Том. 6, № 3, стр. 5-15. https://doi.org/10.14529/cmse170301

APA

Skurydina, A. F. (2017). A REGULARIZED LEVENBERG-MARQUARDT TYPE METHOD APPLIED TO THE STRUCTURAL INVERSE GRAVITY PROBLEM IN A MULTILAYER MEDIUM AND ITS PARALLEL REALIZATION\AST. Вестник Южно-Уральского государственного университета. Серия: Вычислительная математика и информатика, 6(3), 5-15. https://doi.org/10.14529/cmse170301

Vancouver

Skurydina AF. A REGULARIZED LEVENBERG-MARQUARDT TYPE METHOD APPLIED TO THE STRUCTURAL INVERSE GRAVITY PROBLEM IN A MULTILAYER MEDIUM AND ITS PARALLEL REALIZATION\AST. Вестник Южно-Уральского государственного университета. Серия: Вычислительная математика и информатика. 2017;6(3):5-15. doi: 10.14529/cmse170301

Author

Skurydina, A. F. / A REGULARIZED LEVENBERG-MARQUARDT TYPE METHOD APPLIED TO THE STRUCTURAL INVERSE GRAVITY PROBLEM IN A MULTILAYER MEDIUM AND ITS PARALLEL REALIZATION\AST. в: Вестник Южно-Уральского государственного университета. Серия: Вычислительная математика и информатика. 2017 ; Том 6, № 3. стр. 5-15.

BibTeX

@article{e2408a9d94df4dcbbee3755a5a80b2ce,
title = "A REGULARIZED LEVENBERG-MARQUARDT TYPE METHOD APPLIED TO THE STRUCTURAL INVERSE GRAVITY PROBLEM IN A MULTILAYER MEDIUM AND ITS PARALLEL REALIZATION\AST",
abstract = "The structural inverse gravity problem in a multilayer medium is one of the most important geophysics problem. Until recently, the problem was reduced to the separation of gravitational fields and the restoration ofunknown layers independently. Now the methods are in demand that allow find unknown layers simultaneously. For solving Urysohn integral equation of the first kind describing the problem regularized algorithmsLevenberg-Marquardt type with weight factors are investigated. A new Levenberg-Marquardt type methodbased on Levenberg-Marquardt scheme is proposed. A regularized Levenberg-Marquardt type method comparedwith classic Levenberg-Marquardt method. For classic Levenberg-Marquardt method some computationaloptimizations are offered. The numerical experiments using model gravitational data allow to compareconvergence rates, relative errors and program execution times of classic Levenberg-Marquardt algorithm andLevenberg-Marquardt method. The parallel programs implementing the algorithms are developed using CUDAand OpenMP technologies.",
author = "Skurydina, {A. F.}",
year = "2017",
doi = "10.14529/cmse170301",
language = "English",
volume = "6",
pages = "5--15",
journal = "Вестник Южно-Уральского государственного университета. Серия: Вычислительная математика и информатика",
issn = "2305-9052",
publisher = "Южно-Уральский государственный университет (национальный исследовательский университет)",
number = "3",

}

RIS

TY - JOUR

T1 - A REGULARIZED LEVENBERG-MARQUARDT TYPE METHOD APPLIED TO THE STRUCTURAL INVERSE GRAVITY PROBLEM IN A MULTILAYER MEDIUM AND ITS PARALLEL REALIZATION\AST

AU - Skurydina, A. F.

PY - 2017

Y1 - 2017

N2 - The structural inverse gravity problem in a multilayer medium is one of the most important geophysics problem. Until recently, the problem was reduced to the separation of gravitational fields and the restoration ofunknown layers independently. Now the methods are in demand that allow find unknown layers simultaneously. For solving Urysohn integral equation of the first kind describing the problem regularized algorithmsLevenberg-Marquardt type with weight factors are investigated. A new Levenberg-Marquardt type methodbased on Levenberg-Marquardt scheme is proposed. A regularized Levenberg-Marquardt type method comparedwith classic Levenberg-Marquardt method. For classic Levenberg-Marquardt method some computationaloptimizations are offered. The numerical experiments using model gravitational data allow to compareconvergence rates, relative errors and program execution times of classic Levenberg-Marquardt algorithm andLevenberg-Marquardt method. The parallel programs implementing the algorithms are developed using CUDAand OpenMP technologies.

AB - The structural inverse gravity problem in a multilayer medium is one of the most important geophysics problem. Until recently, the problem was reduced to the separation of gravitational fields and the restoration ofunknown layers independently. Now the methods are in demand that allow find unknown layers simultaneously. For solving Urysohn integral equation of the first kind describing the problem regularized algorithmsLevenberg-Marquardt type with weight factors are investigated. A new Levenberg-Marquardt type methodbased on Levenberg-Marquardt scheme is proposed. A regularized Levenberg-Marquardt type method comparedwith classic Levenberg-Marquardt method. For classic Levenberg-Marquardt method some computationaloptimizations are offered. The numerical experiments using model gravitational data allow to compareconvergence rates, relative errors and program execution times of classic Levenberg-Marquardt algorithm andLevenberg-Marquardt method. The parallel programs implementing the algorithms are developed using CUDAand OpenMP technologies.

UR - https://elibrary.ru/item.asp?id=30016524

U2 - 10.14529/cmse170301

DO - 10.14529/cmse170301

M3 - Article

VL - 6

SP - 5

EP - 15

JO - Вестник Южно-Уральского государственного университета. Серия: Вычислительная математика и информатика

JF - Вестник Южно-Уральского государственного университета. Серия: Вычислительная математика и информатика

SN - 2305-9052

IS - 3

ER -

ID: 2138805