Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant meshless discretization schemes   A method is introduced for the construction of meshless discretization
schemes which preserve Lie symmetries of the differential equations that these
schemes approximate. The method exploits the fact that equivariant moving
frames provide a way of associating invariant functions to non-invariant
functions. An invariant meshless approximation of a nonlinear diffusion
equation is constructed. Comparative numerical tests with a non-invariant
meshless scheme are presented. These tests yield that invariant meshless
schemes can lead to substantially improved numerical solutions compared to
numerical solutions generated by non-invariant meshless schemes.

1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn