Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerically Computable A Posteriori-Bounds for stochastic Allen-Cahn
  equation   The aim of this paper is the derivation of an a-posteriori error estimate for
a numerical method based on an exponential scheme in time and spectral Galerkin
methods in space. We obtain analytically a rigorous bound on the mean square
error conditioned to the calculated data, which is numerically computable and
uses the given numerical approximation. Thus one can check a-posteriori the
error for a given numerical computation without relying on an asymptotic
result.
  All estimates are only based on the numerical data and the structure of the
equation, but they do not use any a-priori information of the solution, which
makes the approach applicable to equations where global existence of solutions
is not known. For simplicity of presentation, we develop the method here in a
relatively simple situation of a stable one-dimensional Allen-Cahn equation
with additive forcing.

26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys