Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partition of Unity Interpolation on Multivariate Convex Domains   In this paper we present a new algorithm for multivariate interpolation of
scattered data sets lying in convex domains $\Omega \subseteq \RR^N$, for any
$N \geq 2$. To organize the points in a multidimensional space, we build a
$kd$-tree space-partitioning data structure, which is used to efficiently apply
a partition of unity interpolant. This global scheme is combined with local
radial basis function approximants and compactly supported weight functions. A
detailed description of the algorithm for convex domains and a complexity
analysis of the computational procedures are also considered. Several numerical
experiments show the performances of the interpolation algorithm on various
sets of Halton data points contained in $\Omega$, where $\Omega$ can be any
convex domain like a 2D polygon or a 3D polyhedron.

35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex