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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Zeitschrift für ange...arrow_drop_down
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Zeitschrift für angewandte Mathematik und Physik
Article . 1988 . Peer-reviewed
License: Springer TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Canonical Runge-Kutta methods

Authors: Lasagni, F. M.;

Canonical Runge-Kutta methods

Abstract

An integration procedure is called canonical if it generates a globally canonical map if applied to a Hamiltonian system. In this note the author characterizes all canonical Runge-Kutta methods for Hamiltonian systems of the form \(\dot x=H^ T_ y\), \(\dot y=-H^ T_ x\) with Hamiltonian H(x,y,t), \(x,y\in {\mathbb{R}}^ n\), \(t\in {\mathbb{R}}\).

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Keywords

Hamilton's equations, Numerical analysis in abstract spaces, Dynamical systems and ergodic theory, Hamiltonian system, canonical Runge-Kutta methods

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
104
Top 10%
Top 1%
Top 10%
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