КФУ. Карточка публикации. Approximation error of one finite-difference scheme for the problem of diffraction by a gradient layer

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APPROXIMATION ERROR OF ONE FINITE-DIFFERENCE SCHEME FOR THE PROBLEM OF DIFFRACTION BY A GRADIENT LAYER

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2017

Язык

английский

Авторы, сотрудники КФУ

Данилова Анастасия Вадимовна, автор

Рунг Елена Владимировна, автор

Тумаков Дмитрий Николаевич, автор

Библиографическое описание на языке оригинала

Anufrieva A., Rung E., Tumakov D. Approximation error of one finite-difference scheme for the problem of diffraction by a gradient layer // Far East Journal of Mathematical Sciences. – 2017. – Vol. 101, No. 6. – P. 1253-1264.

Аннотация

The finite-difference scheme, constructed by the method of approximating an integral identity, is considered for a boundary value problem involving the one-dimensional Lame equations, which describe the problem of diffraction by gradient isotropic and transversal-isotropic layers. We prove that the finite-difference scheme is second-order accurate and can be recommended for use in solving the Lame equations with continuous coefficients.

Ключевые слова

approximation error, finite-difference scheme, diffraction by a gradient layer

Название журнала

Far East Journal of Mathematical Sciences

URL

http://www.pphmj.com/journals/articles/1580.htm

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https://repository.kpfu.ru/?p_id=154921

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Данилова Анастасия Вадимовна	ru_RU
dc.contributor.author	Рунг Елена Владимировна	ru_RU
dc.contributor.author	Тумаков Дмитрий Николаевич	ru_RU
dc.date.accessioned	2017-01-01T00:00:00Z	ru_RU
dc.date.available	2017-01-01T00:00:00Z	ru_RU
dc.date.issued	2017	ru_RU
dc.identifier.citation	Anufrieva A., Rung E., Tumakov D. Approximation error of one finite-difference scheme for the problem of diffraction by a gradient layer // Far East Journal of Mathematical Sciences. – 2017. – Vol. 101, No. 6. – P. 1253-1264.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=154921	ru_RU
dc.description.abstract	Far East Journal of Mathematical Sciences	ru_RU
dc.description.abstract	The finite-difference scheme, constructed by the method of approximating an integral identity, is considered for a boundary value problem involving the one-dimensional Lame equations, which describe the problem of diffraction by gradient isotropic and transversal-isotropic layers. We prove that the finite-difference scheme is second-order accurate and can be recommended for use in solving the Lame equations with continuous coefficients.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	approximation error	ru_RU
dc.subject	finite-difference scheme	ru_RU
dc.subject	diffraction by a gradient layer	ru_RU
dc.title	Approximation error of one finite-difference scheme for the problem of diffraction by a gradient layer	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU