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

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 r...

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Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Springer Proceedings in Mathematics & Statistics, 267
Témata:
Numerical analysis.
Differential geometry.
System theory.
Topological groups.
Lie groups.
Nonassociative rings.
Rings (Algebra).
ISBN:9783030013974
ISSN:2194-1009 ;
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Obsah:
  • 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. .

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