Word series for dynamical systems and their numerical integrators

Murua, A.; Sanz Serna, Jesús María

Word series for dynamical systems and their numerical integrators

Autor(es): Murua, A.; Sanz Serna, Jesús María

Editorial: Springer Nature

Fecha de edición: 2017-06

Cita: Murua, A. & Sanz-Serna, J. M. (2015). Word Series for Dynamical Systems and Their Numerical Integrators. Foundations of Computational Mathematics, 17(3), 675–712.

ISSN: 1615-3375

DOI: https://doi.org/10.1007/s10208-015-9295-3

Patrocinador: Ministerio de Economía y Competitividad (España)

Agradecimientos: A. Murua and J.M. Sanz-Serna have been supported by Projects MTM2013-46553-C3-2-P and MTM2013-46553-C3-1-P from Ministerio de Economía y Comercio, Spain. Additionally A. Murua has been partially supported by the Basque Government (Consolidated Research Group IT649-13).

Proyecto: Gobierno de España. MTM2013-46553-C3-2-P
Gobierno de España. MTM2013-46553-C3-1-P

Palabras clave: Word series , Hopf algebras , Hamiltonian problems , Normal forms , Averaging , Splitting algorithms , Oscillatory differential-equations , Formal series , B-series , Trees

URI: http://hdl.handle.net/10016/32514

Resumen:

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 [+]

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