Solving initial value problems by Faber polynomials

In this paper we use the theory of Faber polynomials for solving N-dimensional linear initial value problems. In particular, we use Faber polynomials to approximate the evolution operator creating the so-called exponential integrators. We also provide a consistence and convergence analysis. Some tests where we compare our methods with some Krylov exponential integrators are finally shown.



Titolo: Solving initial value problems by Faber polynomials
Autori: 
NOVATI, PAOLO
Data di pubblicazione: 2003
Stato di pubblicazione: Pubblicato
Rivista: 
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS  
Abstract: In this paper we use the theory of Faber polynomials for solving N-dimensional linear initial value problems. In particular, we use Faber polynomials to approximate the evolution operator creating the so-called exponential integrators. We also provide a consistence and convergence analysis. Some tests where we compare our methods with some Krylov exponential integrators are finally shown.
Handle: http://hdl.handle.net/11368/2925471
Digital Object Identifier (DOI): http://dx.doi.org/10.1002/nla.287
Appare nelle tipologie:1.1 Articolo in Rivista

File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
 
 
 
©2014 University of Trieste dove siamo Privacy
Piazzale Europa,1 34127 Trieste, Italia - Tel. +39 040.558.7111 - P.IVA 00211830328 - C.F. 80013890324 - P.E.C.: ateneo@pec.units.it
 Copyright © 2021