The discrete dynamics obtained by a simple second-order map is shown to lead to an exact integration of harmonic modes with a conserved quantity: a ``shadow Hamiltonian.'' The exact relations for ``velocity'' and energy are used to correct the energy obtained by the second-order algorithm commonly used in molecular dynamics simulations for complex many-body systems and lead to an improved energy conservation with a factor of 4 to 5.
No takes yet. Share an insight, caveat, or question.
Søren Toxværd (1994) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: