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- W2017937773 abstract "In this paper, we show that qualitative properties of Axiom A flows with the strong transversality condition are preserved by its discretization mapping obtained via numerical methods. More precisely, if ϕt is an Axiom A flow with the strong transversality condition and N is a numerical method of order p⩾1 for ϕt on a smooth compact manifold M, then there exists T>1 such that for all sufficiently large n∈N, there are a continuous onto function Hn:M→M and a continuous function τn:M→R such that ϕτn(x)∘Hn(x)=Hn∘(NT/n)n(x) for all x∈M." @default.
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- W2017937773 date "2004-11-01" @default.
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- W2017937773 title "Qualitative property between flows and numerical methods" @default.
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- W2017937773 doi "https://doi.org/10.1016/j.na.2003.06.004" @default.
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