The paper deals with the application of the restricted-denominator rational Krylov method, recently discussed in (BIT 2004; 44(3):595–615; SIAM J. Sci. Comput. 2005; 27:1438–1457), to the computation of the action of the so-called -functions, which play a fundamental role in several modern exponential integrators. The analysis here presented is devoted in particular to the construction of error estimates of easy practical use.
On RD-rational Krylov approximations to the core-functions of exponential integrators / Moret, Igor. - In: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. - ISSN 1070-5325. - STAMPA. - 14:(2007), pp. 445-457. [10.1002/nla.532]
On RD-rational Krylov approximations to the core-functions of exponential integrators
MORET, IGOR
2007-01-01
Abstract
The paper deals with the application of the restricted-denominator rational Krylov method, recently discussed in (BIT 2004; 44(3):595–615; SIAM J. Sci. Comput. 2005; 27:1438–1457), to the computation of the action of the so-called -functions, which play a fundamental role in several modern exponential integrators. The analysis here presented is devoted in particular to the construction of error estimates of easy practical use.Pubblicazioni consigliate
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