Recent Advances on Preserving Methods for General Conservative Systems

摘要

A new class of geometric integrators, able to preserve any number of independent invariants of a general conservative problem, is here sketched, by suitably generalizing the line-integral approach which has recently led to the definition of Hamiltonian BVMs (HBVMs), a class of energy-preserving methods for canonical Hamiltonian systems. Because of this reason, the new methods are collectively named Line Integral Methods. We here sketch the main results contained in [1].