The Complete Characterization of Fourth-Order Symplectic Integrators with Extended-Linear Coefficients
Mathematical Physics
2009-11-11 v2 Astrophysics
math.MP
Computational Physics
Abstract
The structure of symplectic integrators up to fourth-order can be completely and analytical understood when the factorization (split) coefficents are related linearly but with a uniform nonlinear proportional factor. The analytic form of these {\it extended-linear} symplectic integrators greatly simplified proofs of their general properties and allowed easy construction of both forward and non-forward fourth-order algorithms with arbitrary number of operators. Most fourth-order forward integrators can now be derived analytically from this extended-linear formulation without the use of symbolic algebra.
Keywords
Cite
@article{arxiv.math-ph/0511031,
title = {The Complete Characterization of Fourth-Order Symplectic Integrators with Extended-Linear Coefficients},
author = {Siu A. Chin},
journal= {arXiv preprint arXiv:math-ph/0511031},
year = {2009}
}
Comments
12 pages, 2 figures, submitted to Phys. Rev. E, corrected typos