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Under suitable assumptions, we show that the parameter $\\alpha$ may be properly tuned, at each step of the integration procedure, so as to guarantee energy conservation in the numerical solution, as well as to maintain the original order $2s$ as the generating Gauss formula.<\/jats:p>","DOI":"10.1137\/110856617","type":"journal-article","created":{"date-parts":[[2012,11,6]],"date-time":"2012-11-06T12:15:44Z","timestamp":1352204144000},"page":"2897-2916","source":"Crossref","is-referenced-by-count":68,"title":["Energy- and Quadratic Invariants--Preserving Integrators Based upon Gauss Collocation Formulae"],"prefix":"10.1137","volume":"50","author":[{"given":"Luigi","family":"Brugnano","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Felice","family":"Iavernaro","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Donato","family":"Trigiante","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2012,11,6]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-58360-5_15"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2012.03.026"},{"key":"atypb4","volume-title":"Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge-Kutta methods for the numerical solution of polynomial Hamiltonian dynamical systems, arXiv:0909.5659","author":"Brugnano L.","year":"2009"},{"key":"atypb5","first-page":"17","volume":"5","author":"Brugnano L.","year":"2010","journal-title":"J. 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