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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

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…