170 citations · 1.3k across the 56 of their papers we have counts for
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Spectrally accurate space-time solution of Manakov systems
Luigi Barletti, Luigi Brugnano, Yifa Tang +1
In this paper, we study the numerical solution of Manakov systems by using a spectrally accurate Fourier decomposition in space, coupled with a spectrally accurate time integration…
A note on the continuous-stage Runge-Kutta-(Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
In recent years, the class of energy-conserving methods named Hamiltonian Boundary Value Methods (HBVMs) has been devised for numerically solving Hamiltonian problems. In this shor…
Line Integral solution of Hamiltonian PDEs
Luigi Brugnano, Gianluca Frasca-Caccia, Felice Iavernaro
In this paper, we report about recent findings in the numerical solution of Hamiltonian Partial Differential Equations (PDEs), by using energy-conserving line integral methods in t…
High-order energy-conserving Line Integral Methods for charged particle dynamics
L. Brugnano, J. I. Montijano, L. Rández
In this paper we study arbitrarily high-order energy-conserving methods for simulating the dynamics of a charged particle. They are derived and studied within the framework of Line…