English

Efficient implementation of geometric integrators for separable Hamiltonian problems

Numerical Analysis 2013-10-22 v1

Abstract

We here investigate the efficient implementation of the energy-conserving methods named Hamiltonian Boundary Value Methods (HBVMs) recently introduced for the numerical solution of Hamiltonian problems. In this note, we describe an iterative procedure, based on a triangular splitting, for solving the generated discrete problems, when the problem at hand is separable.

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Cite

@article{arxiv.1306.2439,
  title  = {Efficient implementation of geometric integrators for separable Hamiltonian problems},
  author = {Luigi Brugnano and Gianluca Frasca Caccia and Felice Iavernaro},
  journal= {arXiv preprint arXiv:1306.2439},
  year   = {2013}
}

Comments

4 pages

R2 v1 2026-06-22T00:31:51.177Z