English

On the effectiveness of spectral methods for the numerical solution of multi-frequency highly-oscillatory Hamiltonian problems

Numerical Analysis 2018-07-17 v2

Abstract

Multi-frequency, highly-oscillatory Hamiltonian problems derive from the mathematical modelling of many real life applications. We here propose a variant of Hamiltonian Boundary Value Methods (HBVMs), which is able to efficiently deal with the numerical solution of such problems.

Keywords

Cite

@article{arxiv.1711.08810,
  title  = {On the effectiveness of spectral methods for the numerical solution of multi-frequency highly-oscillatory Hamiltonian problems},
  author = {L. Brugnano and J. I. Montijano and L. Rández},
  journal= {arXiv preprint arXiv:1711.08810},
  year   = {2018}
}

Comments

28 pages, 4 figures (a few typos fixed)