Does variable step size ruin a symplectic integrator?

Robert D. Skeel, C. W. Gear

Research output: Contribution to journalArticle

29 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 languageEnglish (US)
Pages (from-to)311-313
Number of pages3
JournalPhysica D: Nonlinear Phenomena
Volume60
Issue number1-4
DOIs
StatePublished - Nov 1 1992
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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