English

Numerical Method in Classical Dynamics

Classical Physics 2017-03-22 v2 Numerical Analysis Computational Physics

Abstract

A set of algorithms is presented for efficient numerical calculation of the time evolution of classical dynamical systems. Starting with a first approximation for solving the differential equations that has a "reversible" character, we show how to bootstrap easily to higher order accuracy.The method, first shown for a single particle in one dimension, is then neatly extended to many dimensions and many particles.

Keywords

Cite

@article{arxiv.1007.1258,
  title  = {Numerical Method in Classical Dynamics},
  author = {Charles Schwartz},
  journal= {arXiv preprint arXiv:1007.1258},
  year   = {2017}
}

Comments

7 pages, with an added Appendix for many-particle process

R2 v1 2026-06-21T15:45:45.030Z