Using the RD rational Arnoldi method for exponential integrators

Details Using the RD rational Arnoldi method for exponential integrators Using the RD rational Arnoldi method for exponential integrators

2011-08-06

arxiv.org/abs/1108.1485v1

Mathematics

Numerical Analysis

27 pages, 5 figures

Scientific paper

In this paper we investigate some practical aspects concerning the use of the Restricted-Denominator (RD) 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 some hints for a suitable implementation inside the integrators. Numerical ex- periments arising from the discretization of sectorial operators are pre- sented.

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