Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive mesh point selection for the efficient solution of scalar IVPs   We discuss adaptive mesh point selection for the solution of scalar IVPs. We
consider a method that is optimal in the sense of the speed of convergence, and
aim at minimizing the local errors. Although the speed of convergence cannot be
improved by using the adaptive mesh points compared to the equidistant points,
we show that the factor in the error expression can be significantly reduced.
We obtain formulas specifying the gain achieved in terms of the number of
discretization subintervals, as well as in terms of the prescribed level of the
local error. Both nonconstructive and constructive versions of the adaptive
mesh selection are shown, and a numerical example is given.

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The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga