A note on the efficient implementation of Hamiltonian BVMs

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article

Brugnano, Luigi¹  Iavernaro, Felice²  Trigiante, Donato³ 

[1] Univ Florence, Dipartimento Matemat, I-50134 Florence, Italy

[2] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy

[3] Univ Florence, Dipartimento Energet, I-50134 Florence, Italy

关键词: Runge-Kutta methods;    Hamiltonian problems;    Hamiltonian Boundary Value Methods;    Energy preserving methods;    Blended methods;    Energy drift;   

DOI  :  10.1016/j.cam.2011.07.022

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free