An integral formulation for the global error of Lie Trotter splitting scheme
An ordinary differential equation (ODE) can be split into simpler sub equations and each of the sub equations is solved subsequently by a numerical method. Such a procedure involves splitting error and numerical error caused by the time stepping methods applied to sub equations. The aim of the...
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| Format: | Article |
| Language: | English |
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Balikesir University
2019-01-01
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| Series: | An International Journal of Optimization and Control: Theories & Applications |
| Subjects: | |
| Online Access: | http://www.ijocta.org/index.php/files/article/view/625 |
| _version_ | 1797918106159415296 |
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| author | Muaz Seydaoğlu |
| author_facet | Muaz Seydaoğlu |
| author_sort | Muaz Seydaoğlu |
| collection | DOAJ |
| description | An ordinary differential equation (ODE) can be split into simpler sub equations and each of the sub equations is solved subsequently by a numerical method. Such a procedure involves splitting error and numerical error caused by the time stepping methods applied to sub equations. The aim of the paper is to present an integral formula for the global error expansion of a splitting procedure combined with any numerical ODE solver. |
| first_indexed | 2024-04-10T13:24:04Z |
| format | Article |
| id | doaj.art-e3a02df9735f46aea759166c9e50d648 |
| institution | Directory Open Access Journal |
| issn | 2146-0957 2146-5703 |
| language | English |
| last_indexed | 2024-04-10T13:24:04Z |
| publishDate | 2019-01-01 |
| publisher | Balikesir University |
| record_format | Article |
| series | An International Journal of Optimization and Control: Theories & Applications |
| spelling | doaj.art-e3a02df9735f46aea759166c9e50d6482023-02-15T16:11:55ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications2146-09572146-57032019-01-019110.11121/ijocta.01.2019.00625An integral formulation for the global error of Lie Trotter splitting schemeMuaz Seydaoğlu0Muş Alparslan ÜniversitesiAn ordinary differential equation (ODE) can be split into simpler sub equations and each of the sub equations is solved subsequently by a numerical method. Such a procedure involves splitting error and numerical error caused by the time stepping methods applied to sub equations. The aim of the paper is to present an integral formula for the global error expansion of a splitting procedure combined with any numerical ODE solver.http://www.ijocta.org/index.php/files/article/view/625Error FormulaSplitting methodsOrdinary Differential EquationsNumerical Approximation. |
| spellingShingle | Muaz Seydaoğlu An integral formulation for the global error of Lie Trotter splitting scheme An International Journal of Optimization and Control: Theories & Applications Error Formula Splitting methods Ordinary Differential Equations Numerical Approximation. |
| title | An integral formulation for the global error of Lie Trotter splitting scheme |
| title_full | An integral formulation for the global error of Lie Trotter splitting scheme |
| title_fullStr | An integral formulation for the global error of Lie Trotter splitting scheme |
| title_full_unstemmed | An integral formulation for the global error of Lie Trotter splitting scheme |
| title_short | An integral formulation for the global error of Lie Trotter splitting scheme |
| title_sort | integral formulation for the global error of lie trotter splitting scheme |
| topic | Error Formula Splitting methods Ordinary Differential Equations Numerical Approximation. |
| url | http://www.ijocta.org/index.php/files/article/view/625 |
| work_keys_str_mv | AT muazseydaoglu anintegralformulationfortheglobalerroroflietrottersplittingscheme AT muazseydaoglu integralformulationfortheglobalerroroflietrottersplittingscheme |