Spectral solution of ODE-IVPs by using SHBVMs

Autor:	F. Iavernaro, Luigi Brugnano, Pierluigi Amodio, C. Magherini
Rok vydání:	2020
Předmět:	Spectral methods Legendre polynomials Hamiltonian Boundary Value Methods SHBVMs symbols.namesake symbols Ode Applied mathematics Spectral solution Solver Hamiltonian (quantum mechanics) Spectral method Boundary value methods Mathematics
Zdroj:	INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019.
ISSN:	0094-243X
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ccc90eb4a5952eb250efda48a93602b https://doi.org/10.1063/5.0026404 Zobrazit plný text záznamu