On the maximum-minimum principle for advection-diffusion equations
The air pollution transport model is generally solved with the so-called operator splitting technique. The original problem is split into several subproblems and the solution of the model is obtained by solving the subproblems cyclically. In this paper, we analyze the advection, diffusion and emis...
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Видавець: | Інститут програмних систем НАН України |
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Дата: | 2006 |
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Формат: | Стаття |
Мова: | English |
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Інститут програмних систем НАН України
2006
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Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/1578 |
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Цитувати: | On the maximum-minimum principle for advection-diffusion equations / Horváth R. // Проблеми програмування. — 2006. — N 2-3. — С. 664-668. — Бібліогр.: 10 назв. — англ. |
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irk-123456789-15782008-10-09T18:35:19Z On the maximum-minimum principle for advection-diffusion equations Horváth, R. Прикладне програмне забезпечення The air pollution transport model is generally solved with the so-called operator splitting technique. The original problem is split into several subproblems and the solution of the model is obtained by solving the subproblems cyclically. In this paper, we analyze the advection, diffusion and emission subproblems. These subproblems have to possess certain qualitative properties that follow from physical considerations: nonnegativity preservation, maximumminimum principle and maximum norm contractivity. We show that these properties are valid for the subproblems, and we shad light on their relations. 2006 Article On the maximum-minimum principle for advection-diffusion equations / Horváth R. // Проблеми програмування. — 2006. — N 2-3. — С. 664-668. — Бібліогр.: 10 назв. — англ. 1727-4907 http://dspace.nbuv.gov.ua/handle/123456789/1578 004.75 en Інститут програмних систем НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
topic |
Прикладне програмне забезпечення Прикладне програмне забезпечення |
spellingShingle |
Прикладне програмне забезпечення Прикладне програмне забезпечення Horváth, R. On the maximum-minimum principle for advection-diffusion equations |
description |
The air pollution transport model is generally solved with the so-called operator splitting technique. The original
problem is split into several subproblems and the solution of the model is obtained by solving the subproblems
cyclically. In this paper, we analyze the advection, diffusion and emission subproblems. These subproblems have to
possess certain qualitative properties that follow from physical considerations: nonnegativity preservation, maximumminimum
principle and maximum norm contractivity. We show that these properties are valid for the subproblems, and
we shad light on their relations. |
format |
Article |
author |
Horváth, R. |
author_facet |
Horváth, R. |
author_sort |
Horváth, R. |
title |
On the maximum-minimum principle for advection-diffusion equations |
title_short |
On the maximum-minimum principle for advection-diffusion equations |
title_full |
On the maximum-minimum principle for advection-diffusion equations |
title_fullStr |
On the maximum-minimum principle for advection-diffusion equations |
title_full_unstemmed |
On the maximum-minimum principle for advection-diffusion equations |
title_sort |
on the maximum-minimum principle for advection-diffusion equations |
publisher |
Інститут програмних систем НАН України |
publishDate |
2006 |
topic_facet |
Прикладне програмне забезпечення |
url |
http://dspace.nbuv.gov.ua/handle/123456789/1578 |
citation_txt |
On the maximum-minimum principle for advection-diffusion equations / Horváth R. // Проблеми програмування. — 2006. — N 2-3. — С. 664-668. — Бібліогр.: 10 назв. — англ. |
work_keys_str_mv |
AT horvathr onthemaximumminimumprincipleforadvectiondiffusionequations |
first_indexed |
2023-03-24T08:22:22Z |
last_indexed |
2023-03-24T08:22:22Z |
_version_ |
1796138907196194816 |