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- W4297823389 abstract "In this paper, we focus on the construction of high order volume preserving in- tegrators for divergence-free vector fields: the monomial basis, the exponential basis and tensor product of the monomial and the exponential basis. We first prove that the commutators of elementary divergence-free vector fields (EDFVF) of those three kinds are still divergence-free vector fields of the same kind. Assuming then there is only diagonal part of divergence-free vector field of the monomial basis, for those three kinds of divergence-free vector fields, we construct high order volume-preserving inte- grators using the multi-commutators for EDFVFs. Moreover, we consider the ordering of the EDFVFs and their commutators to reduce the error of the schemes, showing by numerical tests that the strategy in [9] works very well." @default.
- W4297823389 created "2022-10-01" @default.
- W4297823389 creator A5083898002 @default.
- W4297823389 date "2013-08-09" @default.
- W4297823389 modified "2023-10-18" @default.
- W4297823389 title "High order volume preserving integrators for three kinds of divergence-free vector fields via commutator" @default.
- W4297823389 doi "https://doi.org/10.48550/arxiv.1308.2120" @default.
- W4297823389 hasPublicationYear "2013" @default.
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