Title of article
A note on symplecticity of step-transition mappings for multi-step methods
Author/Authors
Dai، نويسنده , , Gui-Dong and Tang، نويسنده , , Yi-Fa، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
4
From page
474
To page
477
Abstract
We prove that for a linear multi-step method ∑ k = 0 m α k Z k = τ ∑ k = 0 m β k f ( Z k ) , even though the mappings Z 0 → Z 1 , … , Z m - 2 → Z m - 1 are chosen to be symplectic, Z m - 1 → Z m will be non-symplectic. Similarly, there is an interesting result for a sort of general linear methods.
Keywords
Infinitesimally symplectic , General linear method , Symplecticity , Linear multi-step method
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2006
Journal title
Journal of Computational and Applied Mathematics
Record number
1553488
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