A note on the continuous-stage Runge–Kutta(–Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs)

Pierluigi Amodio, Luigi Brugnano and Felice Iavernaro

Applied Mathematics and Computation, 2019, vol. 363, issue C, -

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(–Nyström) methods, which allows a deeper insight in the methods.

Keywords: Continuous-stage Runge–Kutta methods; Runge–Kutta–Nyström methods; Hamiltonian Boundary Value Methods; HBVMs (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:363:y:2019:i:c:35

DOI: 10.1016/j.amc.2019.124634

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