Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponentially convergent trapezoidal rules to approximate fractional
  powers of operators   In this paper we are interested in the approximation of fractional powers of
self-adjoint positive operators. Starting from the integral representation of
the operators, we apply the trapezoidal rule combined with a single-exponential
and a double-exponential transform of the integrand function. For the first
approach our aim is only to review some theoretical aspects in order to refine
the choice of the parameters that allow a faster convergence. As for the double
exponential transform, in this work we show how to improve the existing error
estimates for the scalar case and also extend the analysis to operators. We
report some numerical experiments to show the reliability of the estimates
obtained.

23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph