A note on the efficient implementation of Hamiltonian BVMs

作者：Brugnano Luigi^*; Iavernaro Felice; Trigiante Donato

来源：Journal of Computational and Applied Mathematics, 2011, 236(3): 375-383.

DOI：10.1016/j.cam.2011.07.022

• Runge-Kutta methods
• Hamiltonian problems
• Hamiltonian Boundary Value Methods
• Energy preserving methods
• Blended methods
• Energy drift

We discuss the efficient implementation of Hamiltonian BVMs (HBVMs), a recently introduced class of energy preserving methods for canonical Hamiltonian systems (see Brugnano et al. [8] and references therein), also sketching their blended formulation. We also discuss the case of separable problems, for which the structure of the problem can be exploited to gain efficiency.

• 出版日期2011-9-1