Positive difference operators of any preassigned approximation order for the second derivative
Difference operators are stuied, constructed by the method of block approximation for the differential operator $-d^2/dt^2$ with homogeneous first boundary conditions. For separators of any order of approximation the positivity property is established.
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8262 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513017696878592 |
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| author | Terteryan, A.A. Тертерян, А.А. |
| author_facet | Terteryan, A.A. Тертерян, А.А. |
| author_sort | Terteryan, A.A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-03-27T09:55:08Z |
| description | Difference operators are stuied, constructed by the method of block approximation for the differential operator $-d^2/dt^2$ with homogeneous first boundary conditions. For separators of any order of approximation the positivity property is established. |
| first_indexed | 2026-03-24T03:38:00Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8262 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:38:00Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/29/3331ca7f2d3cae53060d0660ef956c29.pdf |
| spelling | umjimathkievua-article-82622024-03-27T09:55:08Z Positive difference operators of any preassigned approximation order for the second derivative Позитивные разностные операторы любого наперед заданного порядка аппроксимации для второй производной Terteryan, A.A. Тертерян, А.А. Difference operators are stuied, constructed by the method of block approximation for the differential operator $-d^2/dt^2$ with homogeneous first boundary conditions. For separators of any order of approximation the positivity property is established. Изучаются разностные операторы, построенные методом блочной аппроксимации для дифференциального оператора $-d^2/dt^2$ с однородными первыми краевыми условиями. Для операторов любого порядка аппроксимации устанавливается свойство позитивности. Вивчаються різницеві оператори, побудовані методом блочної апроксимації для диференціального оператора $-d^2/dt^2$ з однорідними першими крайовими умовами. Для операторів довільного порядку апроксимації встановлюється властивість позитивності. Institute of Mathematics, NAS of Ukraine 1992-11-06 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8262 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 11 (1992); 1590-1597 Український математичний журнал; Том 44 № 11 (1992); 1590-1597 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8262/9842 Copyright (c) 1992 A.A. Terteryan |
| spellingShingle | Terteryan, A.A. Тертерян, А.А. Positive difference operators of any preassigned approximation order for the second derivative |
| title | Positive difference operators of any preassigned approximation order for the second derivative |
| title_alt | Позитивные разностные операторы любого наперед заданного порядка аппроксимации для второй производной |
| title_full | Positive difference operators of any preassigned approximation order for the second derivative |
| title_fullStr | Positive difference operators of any preassigned approximation order for the second derivative |
| title_full_unstemmed | Positive difference operators of any preassigned approximation order for the second derivative |
| title_short | Positive difference operators of any preassigned approximation order for the second derivative |
| title_sort | positive difference operators of any preassigned approximation order for the second derivative |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8262 |
| work_keys_str_mv | AT terteryanaa positivedifferenceoperatorsofanypreassignedapproximationorderforthesecondderivative AT terterânaa positivedifferenceoperatorsofanypreassignedapproximationorderforthesecondderivative AT terteryanaa pozitivnyeraznostnyeoperatorylûbogonaperedzadannogoporâdkaapproksimaciidlâvtorojproizvodnoj AT terterânaa pozitivnyeraznostnyeoperatorylûbogonaperedzadannogoporâdkaapproksimaciidlâvtorojproizvodnoj |