Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kernel-independent adaptive construction of $\mathcal{H}^2$-matrix
  approximations   A method for the kernel-independent construction of $\mathcal{H}^2$-matrix
approximations to non-local operators is proposed. Special attention is paid to
the adaptive construction of nested bases. As a side result, new error
estimates for adaptive cross approximation~(ACA) are presented which have
implications on the pivoting strategy of ACA.

11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin