170 citations · 1.3k across the 56 of their papers we have counts for
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On the effectiveness of spectral methods for the numerical solution of multi-frequency highly-oscillatory Hamiltonian problems
L. Brugnano, J. I. Montijano, L. Rández
Multi-frequency, highly-oscillatory Hamiltonian problems derive from the mathematical modelling of many real life applications. We here propose a variant of Hamiltonian Boundary Va…
Analysis of Energy and QUadratic Invariant Preserving (EQUIP) methods
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
In this paper we are concerned with the analysis of a class of geometric integrators, at first devised in [14, 18], which can be regarded as an energy-conserving variant of Gauss c…
Line Integral Solution of Hamiltonian Systems with Holonomic Constraints
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro +1
In this paper, we propose a second-order energy-conserving approximation procedure for Hamiltonian systems with holonomic constraints. The derivation of the procedure relies on the…