HBVMs Homepage
Hamiltonian Boundary Value Methods 

Energy Preserving Discrete Line Integral Methods


[14] L.Brugnano, F.Iavernaro, D.Trigiante.  On the Existence of Energy-Preserving Symplectic Integrators Based upon Gauss Collocation Formulae. Preprint, 2010 (arXiv:1005.1930).
[15] L.Brugnano, F.Iavernaro, D.Trigiante.  Energy and quadratic invariants preserving integrators of Gaussian typeAIP Conf. Proc. 1281 (2010) 227-230 (arXiv:1008.4790).    <Permalink>

[16] L.Brugnano, F.Iavernaro, D.Trigiante.   Numerical comparisons among some methods for Hamiltonian problems. AIP  Conf. Proc.  1281 (2010) 214-218 (arXiv:1008.4791).    <Permalink>
[17] L.Brugnano, F.Iavernaro, D.Trigiante.    Numerical Solution of ODEs and the Columbus' Egg: Three Simple Ideas for Three Difficult Problems. Mathematics in Engineering, Science and Aerospace 1, 4 (2010) 105-124 (arXiv:1008.4789).
[18] L.Brugnano, F.Iavernaro, D.Trigiante.    A simple framework for the derivation and analysis of effective classes of one-step methods for ODEs. Applied Mathematics and Computation  218 (2012) 8475-8485 (arXiv:1009.3165).
[19] L.Brugnano, F.Iavernaro, D.Trigiante.    The Lack of Continuity and the Role of Infinite and Infnitesimal in Numerical Methods for ODEs: the Case of Symplecticity Applied Mathematics and Computation 218 (2012) 8056-8063.   (arXiv:1010.4538).
[20] L.Brugnano, F.Iavernaro, D.Trigiante.    A note on the efficient implementation of Hamiltonian BVMs. Journal of Computational and Applied Mathematics 236 (2011) 375-383  (arXiv:1012.2323).
[21] L.Brugnano, F.Iavernaro, D.Trigiante.    A Two Step, Fourth Order, Nearly-Linear Method with Energy Preserving Properties. Computer Physics Communications (accepted) (arXiv:1106.0598).
[22] L.Brugnano, M.Calvo, J.I.Montijano, L.Randez.    Energy preserving methods for Poisson systems. Journal of Computational and Applied Mathematics doi:10.1016/j.cam.2012.02.033
[23] L.Brugnano, F.Iavernaro.    Line Integral Methods which preserve all invariants of conservative problems. Journal of Computational and Applied Mathematics  doi:10.1016/j.cam.2012.03.026