Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A New Parareal Algorithm for Problems with Discontinuous Sources   The Parareal algorithm allows to solve evolution problems exploiting
parallelization in time. Its convergence and stability have been proved under
the assumption of regular (smooth) inputs. We present and analyze here a new
Parareal algorithm for ordinary differential equations which involve
discontinuous right-hand sides. Such situations occur in various applications,
e.g., when an electric device is supplied with a pulse-width-modulated signal.
Our new Parareal algorithm uses a smooth input for the coarse problem with
reduced dynamics. We derive error estimates that show how the input reduction
influences the overall convergence rate of the algorithm. We support our
theoretical results by numerical experiments, and also test our new Parareal
algorithm in an eddy current simulation of an induction machine.

36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph