English

Krylov projection methods for linear Hamiltonian systems

Numerical Analysis 2018-08-22 v1

Abstract

We study geometric properties of Krylov projection methods for large and sparse linear Hamiltonian systems. We consider in particular energy preservation. We discuss the connection to structure preserving model reduction. We illustrate the performance of the methods by applying them to Hamiltonian PDEs.

Keywords

Cite

@article{arxiv.1808.06674,
  title  = {Krylov projection methods for linear Hamiltonian systems},
  author = {Elena Celledoni and Lu Li},
  journal= {arXiv preprint arXiv:1808.06674},
  year   = {2018}
}

Comments

16 pages, 17 figures

R2 v1 2026-06-23T03:38:54.967Z