Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems

Recently, the numerical solution of stiffly/highly oscillatory Hamiltonian problems has been attacked by using Hamiltonian boundary value methods (HBVMs) as spectral methods in time. While a theoretical analysis of this spectral approach has been only partially addressed, there is enough numerical evidence that it turns out to be very effective even when applied to a wider range of problems. Here, we fill this gap by providing a thorough convergence analysis of the methods and confirm the theoretical results with the aid of a few numerical tests.

Titolo: Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems
Autori: 
AMODIO, Pierluigi
IAVERNARO, Felice
mostra contributor esterni 
Data di pubblicazione: 2020
Rivista: 
NUMERICAL ALGORITHMS  
Handle: http://hdl.handle.net/11586/248581
Appare nelle tipologie:1.1 Articolo in rivista

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