The relation between symmetric and symplectic methods

Details The relation between symmetric and symplectic methods The relation between symmetric and symplectic methods

Feb 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998cha%26a..22..101h&link_type=abstract

Chinese Astronomy and Astrophysics, Volume 22, Issue 1, p. 101-112.

Astronomy and Astrophysics

Astrophysics

4

Scientific paper

It is shown that, in a certain sense, the symmetric method is symplectic method when integrating linear conservative dynamic systems. It is pointed out that, on the left half complex hλ plane (h the steplength, λ the characteristic root of the system), there exists a region of relative stability for the symmetric method. The symmetric method is applicable to nonlinear hamiltonian systems that do not contain velocity explicitly; it is not applicable to systems that contain velocity explicitly.

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