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https://doi.org/10.1063/1.4912...
Article . 2015 . Peer-reviewed
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Modified line integral methods for conservative problems with multiple invariants

Authors: BRUGNANO, LUIGI; F. Iavernaro;

Modified line integral methods for conservative problems with multiple invariants

Abstract

In this paper we define a class of modified line integral methods, which are a suitable modification of energy conserving methods in the HBVMs class, able to cope with conservative problems possessing multiple invariants. The analysis of the methods is sketched, along with some numerical tests.

Country
Italy
Keywords

Geometric integrators; conservative problems; Hamiltonian problems; multiple invariants; energy-conserving methods; Hamiltonian Boundary Value Methods; HBVMs; line integral methods., Geometric integrator, Conservative problem, Multiple invariants

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average