An energy concerving modification of numerical methods for the integration of equations of motion
In the integration of the equations of motion of a system of particles, conventional numerical methods generate an error in the total energy of the same order as the truncation error. A simple modification of these methods is described, which results in exact conservation of the energy.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171287000218 |
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| _version_ | 1832565402778992640 |
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| author | Robert A. Labudde Donald Greenspan |
| author_facet | Robert A. Labudde Donald Greenspan |
| author_sort | Robert A. Labudde |
| collection | DOAJ |
| description | In the integration of the equations of motion of a system of particles, conventional
numerical methods generate an error in the total energy of the same order as the truncation error. A simple modification of these methods is described, which results in exact conservation of the energy. |
| format | Article |
| id | doaj-art-b48e8820a4d840819b0a031740c171d1 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b48e8820a4d840819b0a031740c171d12025-02-03T01:07:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-0110117317910.1155/S0161171287000218An energy concerving modification of numerical methods for the integration of equations of motionRobert A. Labudde0Donald Greenspan1821 Hialeah Dr., Virginia Beach, 23462, VA, USADepartment of Mathematics, University of Texas, Arlington 76019, Texas, USAIn the integration of the equations of motion of a system of particles, conventional numerical methods generate an error in the total energy of the same order as the truncation error. A simple modification of these methods is described, which results in exact conservation of the energy.http://dx.doi.org/10.1155/S0161171287000218conventional numerical methodsordinary differential equationsmultiplicative parameterstruncation error. |
| spellingShingle | Robert A. Labudde Donald Greenspan An energy concerving modification of numerical methods for the integration of equations of motion International Journal of Mathematics and Mathematical Sciences conventional numerical methods ordinary differential equations multiplicative parameters truncation error. |
| title | An energy concerving modification of numerical methods for the integration of equations of motion |
| title_full | An energy concerving modification of numerical methods for the integration of equations of motion |
| title_fullStr | An energy concerving modification of numerical methods for the integration of equations of motion |
| title_full_unstemmed | An energy concerving modification of numerical methods for the integration of equations of motion |
| title_short | An energy concerving modification of numerical methods for the integration of equations of motion |
| title_sort | energy concerving modification of numerical methods for the integration of equations of motion |
| topic | conventional numerical methods ordinary differential equations multiplicative parameters truncation error. |
| url | http://dx.doi.org/10.1155/S0161171287000218 |
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