Symplectic All-at-Once Method for Hamiltonian Systems
Keyword(s):
System A
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The all-at-once technique has attracted many researchers’ interest in recent years. In this paper, we combine this technique with a classical symplectic and symmetric method for solving Hamiltonian systems. The solutions at all time steps are obtained at one-shot. In order to reduce the computational cost of solving the all-at-once system, a fast algorithm is designed. Numerical experiments of Hamiltonian systems with degrees of freedom n≤3 are provided to show that our method is more efficient than the classical symplectic method.
1989 ◽
Vol 98
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pp. 19-35
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Keyword(s):
1995 ◽
Vol 186
(1)
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pp. 1-27
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2018 ◽
Vol 26
(01)
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pp. 1750030
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