Elena Celledoni, David I. McLaren, Robert I. McLachlan, Brynjulf Owren, Gilles Quispel, William M. D. Wright
Abstract
We consider energy-preservation for Runge-Kutta methods and B-series methods, propose new energy-preserving methods and investigate the importance of energy preservation (in symmetric integration methods) versus the preservation of symplecticity.
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We consider energy-preservation for Runge-Kutta methods and B-series methods, propose new energy-preserving methods and investigate the importance of energy preservation (in symmetric integration methods) versus the preservation of symplecticity.
Key concepts: Series (stratigraphy), Mathematics, Energy (signal processing), Power series, Combinatorics, Applied mathematics, Mathematical analysis, Statistics