Time-transformations for reversible variable stepsize integration

Stephen D. Bond*, Benedict J. Leimkuhler

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

The development of a Sundman-type time-transformation for reversible variable stepsize integration of few-body problems is discussed. While a time-transformation based on minimum particle separation is suitable if the collisions only occur pairwise and isolated in time, the control of stepsize is typically much more difficult for a three-body close approach. Nonetheless, we find that a suitable choice of time-transformation based on particle separation can work quite well for certain types of three-body simulations, particularly those involving very steep repulsive walls. We confirm these observations using numerical examples from Lennard-Jones scattering.

Original languageEnglish
Pages (from-to)55-71
Number of pages17
JournalNumerical Algorithms
Volume19
Issue number1-4
DOIs
Publication statusPublished - 1998

Keywords / Materials (for Non-textual outputs)

  • Adaptive timestepping
  • Adaptive verlet method
  • N-body mechanical problems
  • Scattering
  • Time-reversible methods
  • Variable stepsize methods
  • Verlet

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