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

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