Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximation of a Multivariate Function of Bounded Variation from its
  Scattered Data   In this paper, we address the problem of approximating a function of bounded
variation from its scattered data. Radial basis function(RBF) interpolation
methods are known to approximate only functions in their native spaces, and to
date, there has been no known proof that they can approximate functions outside
the native space associated with the particular RBF being used. In this paper,
we describe a scattered data interpolation method which can approximate any
function of bounded variation from its scattered data as the data points grow
dense. As the class of functions of bounded variation is a much wider class
than the native spaces of the RBF, this method provides a crucial advantage
over RBF interpolation methods.

12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin