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- W2341074930 abstract "Dynamics of a charged particle in the canonical coordinates is a Hamiltonian system, and the well-known symplectic algorithm has been regarded as the de facto method for numerical integration of Hamiltonian systems due to its long-term accuracy and fidelity. For long-term simulations with high efficiency, explicit symplectic algorithms are desirable. However, it is generally believed that explicit symplectic algorithms are only available for sum-separable Hamiltonians, and this restriction limits the application of explicit symplectic algorithms to charged particle dynamics. To overcome this difficulty, we combine the familiar sum-split method and a generating function method to construct second- and third-order explicit symplectic algorithms for dynamics of charged particle. The generating function method is designed to generate explicit symplectic algorithms for product-separable Hamiltonian with form of $H(mathbf{x},mathbf{p})={mathbf{p}}_{i}f(mathbf{x})$ or $H(mathbf{x},mathbf{p})={mathbf{x}}_{i}g(mathbf{p})$. Applied to the simulations of charged particle dynamics, the explicit symplectic algorithms based on generating functions demonstrate superiorities in conservation and efficiency." @default.
- W2341074930 created "2016-06-24" @default.
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- W2341074930 date "2016-07-21" @default.
- W2341074930 modified "2023-10-18" @default.
- W2341074930 title "Explicit symplectic algorithms based on generating functions for charged particle dynamics" @default.
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- W2341074930 doi "https://doi.org/10.1103/physreve.94.013205" @default.
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