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.
A note on the continuous-stage Runge–Kutta(–Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs) / Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice. - In: APPLIED MATHEMATICS AND COMPUTATION. - ISSN 0096-3003. - STAMPA. - 363:(2019), pp. 1246341-1246348. [10.1016/j.amc.2019.124634]
A note on the continuous-stage Runge–Kutta(–Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs)
Brugnano, Luigi
;
2019
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.
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