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
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.
2011
http://epubs.siam.org/sima/resource/1/sjmael/v32/i4/p1537_s1
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2840394
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