Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Splitting and composition methods with embedded error estimators   We propose new local error estimators for splitting and composition methods.
They are based on the construction of lower order schemes obtained at each step
as a linear combination of the intermediate stages of the integrator, so that
the additional computational cost required for their evaluation is almost
insignificant. These estimators can be subsequently used to adapt the step size
along the integration. Numerical examples show the efficiency of the procedure.

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The categories of this paper are: physics
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg