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].
Recent Advances on Preserving Methods for General Conservative Systems / L.Brugnano; F.Iavernaro. - In: AIP CONFERENCE PROCEEDINGS. - ISSN 0094-243X. - ELETTRONICO. - 1389:(2011), pp. 221-224. (Intervento presentato al convegno ICNAAM 2011 tenutosi a Halkidiki, Grecia nel 19-25 settembre 2011) [10.1063/1.3636707].
Recent Advances on Preserving Methods for General Conservative Systems
BRUGNANO, LUIGI;
2011
Abstract
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].
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AIP 1389 (2011) 221-224.pdf
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