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Scientific article
English

Energy-preserving variant of collocation methods

ContributorsHairer, Ernst
Publication date2010
Abstract

We propose a modification of collocation methods extending the `averaged vector field method' to high order. These new integrators exactly preserve energy for Hamiltonian systems, are of arbitrarily high order, and fall into the class of B-series integrators. We discuss their symmetry and conjugate-symplecticity, and we compare them to energy-preserving composition methods.

Keywords
  • Hamiltonian systems
  • Energy-preserving integrators
  • B-series
  • Runge--Kutta methods
  • Collocation
  • Conjugate-symplecticity
  • Symmetry
  • Gaussian quadrature
Citation (ISO format)
HAIRER, Ernst. Energy-preserving variant of collocation methods. In: Journal of numerical analysis. Industrial and applied mathematics, 2010, vol. 5, p. 73–84.
Main files (1)
Article (Submitted version)
accessLevelPublic
Identifiers
  • PID : unige:12126
ISSN of the journal1790-8140
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Technical informations

Creation10/18/2010 10:40:00 AM
First validation10/18/2010 10:40:00 AM
Update time03/14/2023 4:07:35 PM
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