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Butcher group

Known as: Butcher series, Connes-Kreimer algebra, Connes–Kreimer algebra 
In mathematics, the Butcher group, named after the New Zealand mathematician John C. Butcher by , is an infinite-dimensional Lie group first… 
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Papers overview

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Review
2015
Review
2015
A review of early work in Runge-Kutta methods and Butcher (B) series, especially Robin Merson's 1957 paper and John Butcher's… 
Highly Cited
2013
Highly Cited
2013
Pre-Lie (or Vinberg) algebras arise from flat and torsion-free connections on differential manifolds. These algebras have been… 
2012
2012
We construct Dirac operators on foliations by applying the Bismut-Lebeau analytic localization technique to the Connes fibration… 
2009
2009
AbstractWe compare two different models of noncommutative geometry of the cyclotomic tower, both based on an arithmetic algebra… 
Review
2008
Review
2008
  • V. Pestov
  • Bulletin of Symbolic Logic
  • 2008
  • Corpus ID: 14806489
Abstract This is an introductory survey of the emerging theory of two new classes of (discrete, countable) groups, called… 
2008
2008
We construct an associative algebra with a decomposition into the direct sum of the underlying vector spaces of another… 
2006
2006
A stability and efficiency improved class of generalized Runge–Kutta methods of order 4 are developed for the numerical solution… 
Highly Cited
2005
Highly Cited
2005
This paper proves a theorem (“Theorem 6”) on the composition of, what we call, Butcher series. This Theorem is shown to be… 
2003
2003