On rates in Euler's formula for C_0-semigroups
Functional Analysis
2013-01-21 v1 Numerical Analysis
Abstract
By functional calculus methods, we obtain optimal convergence rates in Euler's approximation formula for C_0-semigroups restricted to ranges of generalized Stieltjes functions. Our results include a number of partial cases studied in the literature and cannot essentially be improved.
Keywords
Cite
@article{arxiv.1301.4406,
title = {On rates in Euler's formula for C_0-semigroups},
author = {Alexander Gomilko and Yuri Tomilov},
journal= {arXiv preprint arXiv:1301.4406},
year = {2013}
}
Comments
to appear in Fritz Gesztesy Festschrift, Proc. Symp. Pure Math