A note on the continuous-stage Runge-Kutta-(Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs)
arXiv:1906.04071 · doi:10.1016/j.amc.2019.124634
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.
arXiv comment12 pages, accepted manuscript
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Cited by in corpus (5)
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- A new framework for polynomial approximation to differential equations
- (Spectral) Chebyshev collocation methods for solving differential equations
- Spectrally accurate space-time solution of Manakov systems
- Continuous-Stage Runge-Kutta approximation to Differential Problems