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What are Butcher series, really?

Robert McLachlan ; Klas Modin (Institutionen för matematiska vetenskaper, matematik) ; Hans Munthe-Kaas ; Olivier Verdier
(2015)
[Preprint]

A review of early work in Runge-Kutta methods and Butcher (B) series, especially Robin Merson's 1957 paper and John Butcher's early work; and a discussion of work in the past decade on algebraic and geometric characterisations of Butcher series, culminating in the recent result that a method has Butcher series if and only if the methods applied to any pair of affine-related vector fields (possibly on spaces of different dimensions) are themselves affine-related.



Denna post skapades 2016-01-11.
CPL Pubid: 230387

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Geometri
Beräkningsmatematik

Chalmers infrastruktur