Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 'Proxy-equation' paradigm - A novel strategy for massively-parallel
  asynchronous computations   Massively parallel simulations of transport equation systems call for a
paradigm change in algorithm development to achieve efficient scalability.
Traditional approaches require time synchronization of processing elements
(PEs) which severely restricts scalability. Relaxing synchronization
requirement introduces error and slows down convergence. In this paper, we
propose and develop a novel `proxy-equation' concept for a general transport
equation that (i) tolerates asynchrony with manageable added error, (ii)
preserves convergence order and (iii) scales efficiently on massively parallel
machines. The central idea is to modify \textit{a priori} the transport
equation at the PE boundaries to offset asynchrony errors. Proof-of-concept
computations are performed using a one-dimensional advection-diffusion
equation. The results demonstrate the promise and advantages of the present
strategy.

6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg