Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast Least-Squares Pad\'e approximation of problems with normal
  operators and meromorphic structure   In this work, we consider the approximation of Hilbert space-valued
meromorphic functions that arise as solution maps of parametric PDEs whose
operator is the shift of an operator with normal and compact resolvent, e.g.
the Helmholtz equation. In this restrictive setting, we propose a simplified
version of the Least-Squares Pad\'e approximation technique introduced in [6]
following [11]. In particular, the estimation of the poles of the target
function reduces to a low-dimensional eigenproblem for a Gramian matrix,
allowing for a robust and efficient numerical implementation (hence the "fast"
in the name). Moreover, we prove several theoretical results that improve and
extend those in [6], including the exponential decay of the error in the
approximation of the poles, and the convergence in measure of the approximant
to the target function. The latter result extends the classical one for scalar
Pad\'e approximation to our functional framework. We provide numerical results
that confirm the improved accuracy of the proposed method with respect to the
one introduced in [6] for differential operators with normal and compact
resolvent.

13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int