Simple Linear and Nonlinear Examples of Truncated Power Series Algebra
Accelerator Physics
2020-06-18 v1
Abstract
The paper displays calculations of linear systems as explained by Dr. Guido Sterbini. We also show a simple nonlinear calculation involving a rotation followed by an octupole kick. Some analytical calculations are compared to the Truncated Power Series Algebra (TPSA) results. The examples use the library PTC which is in MAD-X of CERN and BMAD of Cornell (see Ref. [1]).
Cite
@article{arxiv.2006.09686,
title = {Simple Linear and Nonlinear Examples of Truncated Power Series Algebra},
author = {Étienne Forest},
journal= {arXiv preprint arXiv:2006.09686},
year = {2020}
}
Comments
29 pages, contribution to the CAS - CERN Accelerator School: Numerical Methods for Analysis, Design and Modelling of Particle Accelerators, 11-23 November 2018, Thessaloniki, Greece