Discrete Mechanics, Geometric Integration and Lie-Butcher Series DMGILBS, Madrid, May 2015 /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Ebrahimi-Fard, Kurusch (Editor, http://id.loc.gov/vocabulary/relators/edt), Barbero Liñán, María (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer Proceedings in Mathematics & Statistics, 267
• Subjects: Numerical analysis.; Differential geometry.; System theory.; Topological groups.; Lie groups.; Nonassociative rings.; Rings (Algebra).; Numerical Analysis.; Differential Geometry.; Systems Theory, Control.; Topological Groups, Lie Groups.; Non-associative Rings and Algebras.

This volume resulted from presentations given at the international "Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie-Butcher Series", that took place at the Instituto de Ciencias Matemáticas (ICMAT) in Madrid, Spain. It combines overview and...

Table of Contents:

• Preface
• A. Iserles and G.R.W. Quispel, Why geometric numerical integration?
• B. Owren, Lie group integrators
• H. Z. Munthe-Kaas and K. K. Føllesdal, Lie-Butcher series, Geometry, Algebra and Computation
• A. Murua and J. M. Sanz-Serna, Averaging and computing normal forms with word series algorithms
• L. A. Duffaut Espinosa, K. Ebrahimi-Fard, and W. Steven Gray, Combinatorial Hopf algebras for interconnected nonlinear input-output systems with a view towards discretization
• F. Casas, Computational aspects of some exponential identities
• K. Ebrahimi-Fard and I. Mencattini, Post-Lie Algebras, Factorization Theorems and Isospectral Flows
• G. Bogfjellmo, R. Dahmen, and A.Schmeding, Overview of (pro-)Lie group structures on Hopf algebra character groups,
• M. Barbero Liñán and D. Martín de Diego, Bäcklund transformations in discrete variational principles for Lie-Poisson equations
• M. Vermeeren, Numerical precession in variational discretizations of the Kepler problem
• O. Verdier, Full affine equivariance and weak natural transformations in numerical analysis - the case of B-Series
• References. .