On the numerical solution of the three-dimensional advection-diffusion equation
A new approach is proposed for the numerical solution of three-dimensional advection-diffusion equations, which arise, among others, in
 air pollution modelling. The technique is based on directional operator splitting, which results in one-dimensional advection-diffusion
 equations....
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| Datum: | 2006 |
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| Hauptverfasser: | , , , |
| 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/123456789/1570 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the numerical solution of the three-dimensional advection-diffusion equation / V. Prusov, A. Doroshenko, I. Faragó, Á. Havasi // Проблеми програмування. — 2006. — N 2-3. — С. 641-647. — Бібліогр.: 42 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862652822132097024 |
|---|---|
| author | Prusov, V. Doroshenko, A. Faragó, I. Havasi, Á. |
| author_facet | Prusov, V. Doroshenko, A. Faragó, I. Havasi, Á. |
| citation_txt | On the numerical solution of the three-dimensional advection-diffusion equation / V. Prusov, A. Doroshenko, I. Faragó, Á. Havasi // Проблеми програмування. — 2006. — N 2-3. — С. 641-647. — Бібліогр.: 42 назв. — англ. |
| collection | DSpace DC |
| description | A new approach is proposed for the numerical solution of three-dimensional advection-diffusion equations, which arise, among others, in
air pollution modelling. The technique is based on directional operator splitting, which results in one-dimensional advection-diffusion
equations. Then upstream-type difference approximations are applied for the first-order derivatives and non-standard difference
approximations for the second-order derivatives. This approach leads to significant qualitative improvements in the behaviour of the
numerical solutions.
|
| first_indexed | 2025-12-01T22:02:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-1570 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1727-4907 |
| language | English |
| last_indexed | 2025-12-01T22:02:50Z |
| publishDate | 2006 |
| publisher | Інститут програмних систем НАН України |
| record_format | dspace |
| spelling | Prusov, V. Doroshenko, A. Faragó, I. Havasi, Á. 2008-08-26T13:18:13Z 2008-08-26T13:18:13Z 2006 On the numerical solution of the three-dimensional advection-diffusion equation / V. Prusov, A. Doroshenko, I. Faragó, Á. Havasi // Проблеми програмування. — 2006. — N 2-3. — С. 641-647. — Бібліогр.: 42 назв. — англ. 1727-4907 https://nasplib.isofts.kiev.ua/handle/123456789/1570 004.75 A new approach is proposed for the numerical solution of three-dimensional advection-diffusion equations, which arise, among others, in
 air pollution modelling. The technique is based on directional operator splitting, which results in one-dimensional advection-diffusion
 equations. Then upstream-type difference approximations are applied for the first-order derivatives and non-standard difference
 approximations for the second-order derivatives. This approach leads to significant qualitative improvements in the behaviour of the
 numerical solutions. en Інститут програмних систем НАН України Прикладне програмне забезпечення On the numerical solution of the three-dimensional advection-diffusion equation Article published earlier |
| spellingShingle | On the numerical solution of the three-dimensional advection-diffusion equation Prusov, V. Doroshenko, A. Faragó, I. Havasi, Á. Прикладне програмне забезпечення |
| title | On the numerical solution of the three-dimensional advection-diffusion equation |
| title_full | On the numerical solution of the three-dimensional advection-diffusion equation |
| title_fullStr | On the numerical solution of the three-dimensional advection-diffusion equation |
| title_full_unstemmed | On the numerical solution of the three-dimensional advection-diffusion equation |
| title_short | On the numerical solution of the three-dimensional advection-diffusion equation |
| title_sort | on the numerical solution of the three-dimensional advection-diffusion equation |
| topic | Прикладне програмне забезпечення |
| topic_facet | Прикладне програмне забезпечення |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/1570 |
| work_keys_str_mv | AT prusovv onthenumericalsolutionofthethreedimensionaladvectiondiffusionequation AT doroshenkoa onthenumericalsolutionofthethreedimensionaladvectiondiffusionequation AT faragoi onthenumericalsolutionofthethreedimensionaladvectiondiffusionequation AT havasia onthenumericalsolutionofthethreedimensionaladvectiondiffusionequation |