Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical solution of time-dependent problems with fractional power
  elliptic operator   An unsteady problem is considered for a space-fractional equation in a
bounded domain. A first-order evolutionary equation involves a fractional power
of an elliptic operator of second order. Finite element approximation in space
is employed. To construct approximation in time, standard two-level schemes are
used. The approximate solution at a new time-level is obtained as a solution of
a discrete problem with the fractional power of the elliptic operator. A
Pade-type approximation is constructed on the basis of special quadrature
formulas for an integral representation of the fractional power elliptic
operator using explicit schemes. A similar approach is applied in the numerical
implementation of implicit schemes. The results of numerical experiments are
presented for a test two-dimensional problem.

24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
16
The categories of this paper are: stat
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg