English

Adding an energy-like conservation law to the leapfrog integrator

Computational Physics 2015-06-12 v1 Mathematical Physics math.MP

Abstract

The leapfrog integrator is widely used because of its excellent stability in molecular dynamics simulation. This is recognized as being due to the existence of a discrete variational structure of the equations. We introduce a modified leapfrog method which includes an additional energy-like conservation law by embedding a molecular dynamics simulation within a larger dynamical system.

Keywords

Cite

@article{arxiv.1301.1841,
  title  = {Adding an energy-like conservation law to the leapfrog integrator},
  author = {A. C. Maggs},
  journal= {arXiv preprint arXiv:1301.1841},
  year   = {2015}
}
R2 v1 2026-06-21T23:06:36.563Z