Does variable step size ruin a symplectic integrator?

Robert D. Skeel; C. W. Gear

doi:10.1016/0167-2789(92)90247-K

Does variable step size ruin a symplectic integrator?

Robert D. Skeel, C. W. Gear

Chemical & Biological Engineering

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

There exist methods that preserve the symplectic invariants of Hamiltonian systems when fixed step size is used. It is proved that the most simple-minded version of this property is lost if the step size is varied.

Original language	English (US)
Pages (from-to)	311-313
Number of pages	3
Journal	Physica D: Nonlinear Phenomena
Volume	60
Issue number	1-4
DOIs	https://doi.org/10.1016/0167-2789(92)90247-K
State	Published - Nov 1 1992

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

Access to Document

10.1016/0167-2789(92)90247-K

Cite this

@article{9439d5b26d1548079dd848069dcfaa90,

title = "Does variable step size ruin a symplectic integrator?",

abstract = "There exist methods that preserve the symplectic invariants of Hamiltonian systems when fixed step size is used. It is proved that the most simple-minded version of this property is lost if the step size is varied.",

author = "Skeel, \{Robert D.\} and Gear, \{C. W.\}",

note = "Funding Information: * Work supported in part by National Science Foundation Grant DMS 90 15533 and Department of Energy Grant DE-FG02-91ER25099.",

year = "1992",

month = nov,

day = "1",

doi = "10.1016/0167-2789(92)90247-K",

language = "English (US)",

volume = "60",

pages = "311--313",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",