Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Generalization of both the Method of Images and of the Classical
  Integral Transforms   A new method for the solution of initial-boundary value problems for
evolution PDEs recently introduced by Fokas is generalised to multidimensions.
Also the relation of this method with the method of images and with the
classical integral transforms is discussed. The new method is easy to
implement, yet it is applicable to problems for which the classical approaches
apparently fail. As illustrative examples, initial-boundary value problems for
the diffusion-convection equation in one and higher dimensions, as well as for
the linearised Korteweg-de Vries equation with the space variables on the
half-line are solved. The suitability of the new method for the analysis of the
the long-time asymptotics is ellucidated.

22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th