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Analysis of Spectral Hamiltonian Boundary Value Methods (SHBVMs) for the numerical solution of ODE problems
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
Recently, the numerical solution of stiffly/highly-oscillatory Hamiltonian problems has been attacked by using Hamiltonian Boundary Value Methods (HBVMs) as spectral methods in tim…
Spectrally accurate space-time solution of Hamiltonian PDEs
Luigi Brugnano, Felice Iavernaro, Juan I. Montijano +1
Recently, the numerical solution of multi-frequency, highly-oscillatory Hamiltonian problems has been attacked by using Hamiltonian Boundary Value Methods (HBVMs) as spectral metho…
Spectrally Accurate Energy-preserving Methods for the Numerical Solution of the "Good" Boussinesq Equation
Luigi Brugnano, Gianmarco Gurioli, Chengjian Zhang
In this paper we study the geometric solution of the so called "good" Boussinesq equation. This goal is achieved by using a convenient space semi-discretization, able to preserve t…