Solving Reaction-Diffusion and Advection Problems with Richardson Extrapolation
Richardson extrapolation is a simple but powerful computational tool to enhance the accuracy of time integration methods. In the past years a few theoretical and partly practical works have been presented on this method. Detailed numerical applications of this method, however, are rarely found in th...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2015/350362 |
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| _version_ | 1832561436477358080 |
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| author | Tamás Mona István Lagzi Ágnes Havasi |
| author_facet | Tamás Mona István Lagzi Ágnes Havasi |
| author_sort | Tamás Mona |
| collection | DOAJ |
| description | Richardson extrapolation is a simple but powerful computational tool to enhance the accuracy of time integration methods. In the past years a few theoretical and partly practical works have been presented on this method. Detailed numerical applications of this method, however, are rarely found in the literature. Therefore, it is worth investigating whether this promising technique lives up to the expectations also in practice. In this paper we investigate the efficiency of the Richardson method in one-dimensional numerical (reaction-diffusion) problems. |
| format | Article |
| id | doaj-art-77d8741cce8446f0af17152a9512594b |
| institution | Kabale University |
| issn | 2090-9063 2090-9071 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Chemistry |
| spelling | doaj-art-77d8741cce8446f0af17152a9512594b2025-02-03T01:25:04ZengWileyJournal of Chemistry2090-90632090-90712015-01-01201510.1155/2015/350362350362Solving Reaction-Diffusion and Advection Problems with Richardson ExtrapolationTamás Mona0István Lagzi1Ágnes Havasi2Department of Meteorology, Eötvös Loránd University, Pázmány Péter sétány 1/A, Budapest 1117, HungaryDepartment of Physics, Budapest University of Technology and Economics, Budafoki út 8, Budapest 1111, HungaryDepartment of Applied Analysis and Computational Mathematics, Eötvös Loránd University and MTA-ELTE Numerical Analysis and Large Networks Research Group, Pázmány Péter sétány 1/C, Budapest 1117, HungaryRichardson extrapolation is a simple but powerful computational tool to enhance the accuracy of time integration methods. In the past years a few theoretical and partly practical works have been presented on this method. Detailed numerical applications of this method, however, are rarely found in the literature. Therefore, it is worth investigating whether this promising technique lives up to the expectations also in practice. In this paper we investigate the efficiency of the Richardson method in one-dimensional numerical (reaction-diffusion) problems.http://dx.doi.org/10.1155/2015/350362 |
| spellingShingle | Tamás Mona István Lagzi Ágnes Havasi Solving Reaction-Diffusion and Advection Problems with Richardson Extrapolation Journal of Chemistry |
| title | Solving Reaction-Diffusion and Advection Problems with Richardson Extrapolation |
| title_full | Solving Reaction-Diffusion and Advection Problems with Richardson Extrapolation |
| title_fullStr | Solving Reaction-Diffusion and Advection Problems with Richardson Extrapolation |
| title_full_unstemmed | Solving Reaction-Diffusion and Advection Problems with Richardson Extrapolation |
| title_short | Solving Reaction-Diffusion and Advection Problems with Richardson Extrapolation |
| title_sort | solving reaction diffusion and advection problems with richardson extrapolation |
| url | http://dx.doi.org/10.1155/2015/350362 |
| work_keys_str_mv | AT tamasmona solvingreactiondiffusionandadvectionproblemswithrichardsonextrapolation AT istvanlagzi solvingreactiondiffusionandadvectionproblemswithrichardsonextrapolation AT agneshavasi solvingreactiondiffusionandadvectionproblemswithrichardsonextrapolation |