Word Series for Dynamical Systems and Their Numerical Integrators
Año del Documento
Foundations of Computational Mathematics, June 2017, Volume 17, Issue 3, pp 675–712
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.
Revisión por pares
Ministerio de Economía, Industria y Competitividad (Projects MTM2013-46553-C3-2-P and MTM2013-46553-C3-1-P)
Version del Editor
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