Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

On energy conservation of the simplified Takahashi-Imada method

Ernst HairerRobert I. McLachlanRobert D. Skeel — 2009

ESAIM: Mathematical Modelling and Numerical Analysis

In long-time numerical integration of Hamiltonian systems, and especially in molecular dynamics simulation, it is important that the energy is well conserved. For symplectic integrators applied with sufficiently small step size, this is guaranteed by the existence of a modified Hamiltonian that is exactly conserved up to exponentially small terms. This article is concerned with the simplified Takahashi-Imada method, which is a modification of the Störmer-Verlet method that is as easy to implement...

Page 1

Download Results (CSV)