Recently, Hamiltonian Boundary Value Methods (HBVMs), have been used for effectively solving multi-frequency, highly-oscillatory and/or stiffly-oscillatory problems. We here report a few examples showing that, when numerically solving Hamiltonian PDEs, such methods, if coupled with a spectrally accurate space semi-discretization, are able to provide a spectrally accurate solution in time, as well.
Space-time spectrally accurate HBVMs for Hamiltonian PDEs / Brugnano, L.; Iavernaro, F.; Montijano, J. I.; Rández, L.. - In: AIP CONFERENCE PROCEEDINGS. - ISSN 0094-243X. - ELETTRONICO. - 2116:(2019), pp. 1400021-1400024. (Intervento presentato al convegno ICNAAM 2018 tenutosi a Rodhes, Greece nel 13-18 September 2018) [10.1063/1.5114129].
Space-time spectrally accurate HBVMs for Hamiltonian PDEs
Brugnano, L.
;
2019
Abstract
Recently, Hamiltonian Boundary Value Methods (HBVMs), have been used for effectively solving multi-frequency, highly-oscillatory and/or stiffly-oscillatory problems. We here report a few examples showing that, when numerically solving Hamiltonian PDEs, such methods, if coupled with a spectrally accurate space semi-discretization, are able to provide a spectrally accurate solution in time, as well.
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