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, di...
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| Datum: | 2006 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут програмних систем НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/1578 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862697125253480448 |
|---|---|
| author | Horváth, R. |
| author_facet | Horváth, R. |
| 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. |
| collection | DSpace DC |
| 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.
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| first_indexed | 2025-12-07T16:29:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-1578 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1727-4907 |
| language | English |
| last_indexed | 2025-12-07T16:29:30Z |
| publishDate | 2006 |
| publisher | Інститут програмних систем НАН України |
| record_format | dspace |
| spelling | Horváth, R. 2008-08-26T13:22:00Z 2008-08-26T13:22:00Z 2006 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 https://nasplib.isofts.kiev.ua/handle/123456789/1578 004.75 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. en Інститут програмних систем НАН України Прикладне програмне забезпечення On the maximum-minimum principle for advection-diffusion equations Article published earlier |
| spellingShingle | On the maximum-minimum principle for advection-diffusion equations Horváth, R. Прикладне програмне забезпечення |
| title | 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_short | On the maximum-minimum principle for advection-diffusion equations |
| title_sort | on the maximum-minimum principle for advection-diffusion equations |
| topic | Прикладне програмне забезпечення |
| topic_facet | Прикладне програмне забезпечення |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/1578 |
| work_keys_str_mv | AT horvathr onthemaximumminimumprincipleforadvectiondiffusionequations |