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

作者：

Highlights：

•

摘要

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.

论文关键词：Continuous-stage Runge–Kutta methods,Runge–Kutta–Nyström methods,Hamiltonian Boundary Value Methods,HBVMs

论文评审过程：Received 10 June 2019, Revised 25 July 2019, Accepted 29 July 2019, Available online 9 August 2019, Version of Record 9 August 2019.

论文官网地址：https://doi.org/10.1016/j.amc.2019.124634