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Recent advances on preserving methods for general conservative systems

AIP Conference Proceedings, ISSN: 0094-243X, Vol: 1389, Page: 221-224
2011
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Conference Paper Description

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]. © 2011 American Institute of Physics.

Bibliographic Details

Luigi Brugnano; Felice Iavernaro; Theodore E. Simos; George Psihoyios; Ch. Tsitouras; Zacharias Anastassi

AIP Publishing

Physics and Astronomy

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