Using the RD rational Arnoldi method for exponential integrators
Numerical Analysis
2011-08-09 v1
Abstract
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.
Cite
@article{arxiv.1108.1485,
title = {Using the RD rational Arnoldi method for exponential integrators},
author = {Paolo Novati},
journal= {arXiv preprint arXiv:1108.1485},
year = {2011}
}
Comments
27 pages, 5 figures