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A substitution law for B-series vector fields
Abstract : In this paper, we derive a new composition law obtained by substituting a B-series into the vector field appearing in another B-series. We derive explicit formulas for the computation of this law and study its algebraic properties. We then focus on the specific case of Hamiltonian vector fields. It is shown that this new law allows a convenient derivation of the modified equation occurring in backward error analysis or in numerical methods based on generating functions.
Cited literature [19 references]
https://hal.inria.fr/inria-00070509
Contributor : Rapport de Recherche Inria <>
Submitted on : Friday, May 19, 2006 - 8:42:57 PM
Last modification on : Monday, February 15, 2021 - 10:42:40 AM
Long-term archiving on: : Tuesday, February 22, 2011 - 11:44:56 AM
Contributor : Rapport de Recherche Inria <>
Submitted on : Friday, May 19, 2006 - 8:42:57 PM
Last modification on : Monday, February 15, 2021 - 10:42:40 AM
Long-term archiving on: : Tuesday, February 22, 2011 - 11:44:56 AM