A note on the continuous-stage Runge-Kutta-(Nystr\"om) formulation of Hamiltonian Boundary Value Methods (HBVMs)
Numerical Analysis
2019-10-17 v2 Numerical Analysis
Abstract
In recent years, the class of energy-conserving methods named Hamiltonian Boundary Value Methods (HBVMs) has been devised for numerically solving Hamiltonian problems. In this short note, we study their natural formulation as continuous-stage Runge-Kutta(-Nystr\"om) methods, which allows a deeper insight in the methods.
Keywords
Cite
@article{arxiv.1906.04071,
title = {A note on the continuous-stage Runge-Kutta-(Nystr\"om) formulation of Hamiltonian Boundary Value Methods (HBVMs)},
author = {Pierluigi Amodio and Luigi Brugnano and Felice Iavernaro},
journal= {arXiv preprint arXiv:1906.04071},
year = {2019}
}
Comments
12 pages, accepted manuscript