Symmetric and symplectic methods for gyrocenter dynamics in time-independent magnetic fields
2016 ◽
Vol 07
(02)
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pp. 1650008
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Keyword(s):
We apply a second-order symmetric Runge–Kutta method and a second-order symplectic Runge–Kutta method directly to the gyrocenter dynamics which can be expressed as a noncanonical Hamiltonian system. The numerical simulation results show the overwhelming superiorities of the two methods over a higher order nonsymmetric nonsymplectic Runge–Kutta method in long-term numerical accuracy and near energy conservation. Furthermore, they are much faster than the midpoint rule applied to the canonicalized system to reach given precision.
2013 ◽
Vol 457-458
◽
pp. 23-27
Keyword(s):
2019 ◽
Vol 17
(4)
◽
pp. 1123-1146
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Keyword(s):
2012 ◽
Vol 29
(1)
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pp. 170-185
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2021 ◽
Vol 1848
(1)
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pp. 012102
Keyword(s):
2021 ◽
Vol 2
(1)
◽
pp. 37-44
Keyword(s):
2020 ◽
Vol 04
(09)
◽
pp. 104-115
2005 ◽
Vol 5
(3)
◽
pp. 411-427
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Keyword(s):
2020 ◽
Vol 1592
◽
pp. 012095
Keyword(s):