Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-parameter regularization of ill-posed spherical pseudo-differential
  equations in the space of continuous functions   In this paper, a two-step regularization method is used to solve an ill-posed
spherical pseudo-differential equation in the presence of noisy data. For the
first step of regularization we approximate the data by means of a spherical
polynomial that minimizes a functional with a penalty term consisting of the
squared norm in a Sobolev space. The second step is a regularized collocation
method. An error bound is obtained in the uniform norm, which is potentially
smaller than that for either the noise reduction alone or the regularized
collocation alone. We discuss an a posteriori parameter choice, and present
some numerical experiments, which support the claimed superiority of the
two-step method.

37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org