Does variable step size ruin a symplectic integrator?

Robert D. Skeel, C. W. Gear

Research output: Contribution to journalArticlepeer-review

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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