Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-scale methods for wave propagation in heterogeneous media   Multi-scale wave propagation problems are computationally costly to solve by
traditional techniques because the smallest scales must be represented over a
domain determined by the largest scales of the problem. We have developed and
analyzed new numerical methods for multi-scale wave propagation in the
framework of heterogeneous multi-scale method. The numerical methods couples
simulations on macro- and micro-scales for problems with rapidly oscillating
coefficients. We show that the complexity of the new method is significantly
lower than that of traditional techniques with a computational cost that is
essentially independent of the micro-scale. A convergence proof is given and
numerical results are presented for periodic problems in one, two and three
dimensions. The method is also successfully applied to non-periodic problems
and for long time integration where dispersive effects occur.

36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat