130 citations · 450 across the 22 of their papers we have counts for
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math.NA2015★ 1 cited
Butcher series: A story of rooted trees and numerical methods for evolution equations
Robert I McLachlan, Klas Modin, Hans Munthe-Kaas +1
Butcher series appear when Runge-Kutta methods for ordinary differential equations are expanded in power series of the step size parameter. Each term in a Butcher series consists o…
math.RA2015★ 17 cited
Post-Lie Algebras and Isospectral Flows
Kurusch Ebrahimi-Fard, Alexander Lundervold, Igor Mencattini +1
In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical -matrix. An explicit exponential solution of the corresponding Lie bracket flo…