Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limiting behaviour of the generalized simplex gradient as the number of
  points tends to infinity on a fixed shape in R^n   This work investigates the asymptotic behaviour of the gradient approximation
method called the generalized simplex gradient (GSG). This method has an error
bound that at first glance seems to tend to infinity as the number of sample
points increases, but with some careful construction, we show that this is not
the case. For functions in finite dimensions, we present two new error bounds
ad infinitum depending on the position of the reference point. The error bounds
are not a function of the number of sample points and thus remain finite.

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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph