| Title:
|
A modified version of explicit Runge-Kutta methods for energy-preserving (English) |
| Author:
|
Hu, Guang-Da |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
50 |
| Issue:
|
5 |
| Year:
|
2014 |
| Pages:
|
838-847 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, Runge-Kutta methods are discussed for numerical solutions of conservative systems. For the energy of conservative systems being as close to the initial energy as possible, a modified version of explicit Runge-Kutta methods is presented. The order of the modified Runge-Kutta method is the same as the standard Runge-Kutta method, but it is superior in energy-preserving to the standard one. Comparing the modified Runge-Kutta method with the standard Runge-Kutta method, numerical experiments are provided to illustrate the effectiveness of the modified Runge-Kutta method. (English) |
| Keyword:
|
energy-preserving |
| Keyword:
|
explicit Runge–Kutta methods |
| Keyword:
|
gradient |
| MSC:
|
34A34 |
| MSC:
|
65L05 |
| MSC:
|
65L06 |
| MSC:
|
65L07 |
| idZBL:
|
Zbl 06410707 |
| idMR:
|
MR3301864 |
| DOI:
|
10.14736/kyb-2014-5-0838 |
| . |
| Date available:
|
2015-01-13T09:43:03Z |
| Last updated:
|
2016-01-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144110 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
