Recently, Hamiltonian Boundary Value Methods (HBVMs), have been used as spectral methods in time for effectively solving multi-frequency, highly-oscillatory and/or stiffly-oscillatory problems. A complete analysis of their use in such a fashion has been also carried out, providing a theoretical framework explaining their effectiveness. We report here a few numerical examples showing their potentialities to provide a fully accurate solver for general ODE problems.
Spectral solution of ODE-IVPs by using SHBVMs / Amodio, P.; Brugnano, L.; Iavernaro, F.; Magherini, C.. - In: AIP CONFERENCE PROCEEDINGS. - ISSN 0094-243X. - ELETTRONICO. - 2293:(2020), pp. 1000021-1000024. (Intervento presentato al convegno INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019 tenutosi a Rhodes, Greece nel 23–28 September 2019) [10.1063/5.0026404].
Spectral solution of ODE-IVPs by using SHBVMs
Brugnano, L.;
2020
Abstract
Recently, Hamiltonian Boundary Value Methods (HBVMs), have been used as spectral methods in time for effectively solving multi-frequency, highly-oscillatory and/or stiffly-oscillatory problems. A complete analysis of their use in such a fashion has been also carried out, providing a theoretical framework explaining their effectiveness. We report here a few numerical examples showing their potentialities to provide a fully accurate solver for general ODE problems.File | Dimensione | Formato | |
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AIP Conf. Proc. 2293 (2020) 100002.pdf
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