In this paper we investigate some practical aspects concerning the use of the restricted-denominator rational Arnoldi method for the computation of the core functions of exponential integrators for parabolic problems. We derive some useful a posteriori bounds together with hints for a suitable implementation inside the integrators. Numerical experiments arising from the discretization of sectorial operators are presented.
Using the Restricted-Denominator rational Arnoldi method for Exponential integrators / Novati, Paolo. - In: SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. - ISSN 0895-4798. - STAMPA. - 32:(2011), pp. 1537-1558. [10.1137/100814202]
Using the Restricted-Denominator rational Arnoldi method for Exponential integrators
NOVATI, PAOLO
2011-01-01
Abstract
In this paper we investigate some practical aspects concerning the use of the restricted-denominator rational Arnoldi method for the computation of the core functions of exponential integrators for parabolic problems. We derive some useful a posteriori bounds together with hints for a suitable implementation inside the integrators. Numerical experiments arising from the discretization of sectorial operators are presented.Pubblicazioni consigliate
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