A note on the continuous-stage Runge-Kutta-(Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs)
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2019
- DOI:
- 10.48550/arXiv.1906.04071
- arXiv:
- arXiv:1906.04071
- Bibcode:
- 2019arXiv190604071A
- Keywords:
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- Mathematics - Numerical Analysis;
- 65L05;
- 65P10
- E-Print:
- 12 pages, accepted manuscript