Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Novel Galerkin Method for Solving PDEs on the Sphere Using Highly
  Localized Kernel Bases   We present a novel Galerkin method for solving partial differential equations
on the sphere. The problem is discretized by a highly localized basis which is
easily constructed. The stiffness matrix entries are computed by a recently
developed quadrature formula unique to the localized bases we consider. We
present error estimates and investigate the stability of the discrete stiffness
matrix. Implementation and numerical experiments are discussed.

23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph