Numerical Solution of Differential Equations by the Parker-Sochacki Method
Abstract
A tutorial is presented which demonstrates the theory and usage of the Parker-Sochacki method of numerically solving systems of differential equations. Solutions are demonstrated for the case of projectile motion in air, and for the classical Newtonian N-body problem with mutual gravitational attraction.
Cite
@article{arxiv.1007.1677,
title = {Numerical Solution of Differential Equations by the Parker-Sochacki Method},
author = {Joseph W. Rudmin},
journal= {arXiv preprint arXiv:1007.1677},
year = {2010}
}
Comments
Added in July 2010: This tutorial has been posted since 1998 on a university web site, but has now been cited and praised in one or more refereed journals. I am therefore submitting it to the Cornell arXiv so that it may be read in response to its citations. See "Spiking neural network simulation: numerical integration with the Parker-Sochacki method:" J. Comput Neurosci, Robert D. Stewart & Wyeth Bair and http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2717378/