English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we provide a variational derivation of the Euler-Poincar\'eequations for systems subjected to external forces using an adaptation of thetechniques introduced by Galley and others. Moreover, we study in detail theunderlying geometry which is related to the notion of Poisson groupoid.Finally, we apply the previous construction to the formal derivation of thevariational error for numerical integrators of forced Euler-Poincar\'eequations and the application of this theory to the derivation of geometricintegrators for forced systems.

Variational order for forced Lagrangian systems II: Euler-Poincar\'e equations with forcing