RT info:eu-repo/semantics/article
T1 Word Series for Dynamical Systems and Their Numerical Integrators
A1 Murua Uria, Ander
A1 Sanz Serna, Jesús María
AB We study word series and extended word series, classes of formal series for the analysis of some dynamical systems and their discretizations. These series are similar to but more compact than B-series. They may be composed among themselves by means of a simple rule. While word series have appeared before in the literature, extended word series are introduced in this paper. We exemplify the use of extended word series by studying the reduction to normal form and averaging of some perturbed integrable problems. We also provide a detailed analysis of the behavior of splitting numerical methods for those problems.
SN 1615-3375
YR 2017
FD 2017
LK http://uvadoc.uva.es/handle/10324/28904
UL http://uvadoc.uva.es/handle/10324/28904
LA eng
NO Foundations of Computational Mathematics, June 2017, Volume 17, Issue 3,  pp 675–712
DS UVaDOC
RD 25-abr-2024