Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A self adjusting multirate algorithm based on the TR-BDF2 method   We propose a self adjusting multirate method based on the TR-BDF2 solver. The
potential advantages of using TR-BDF2 as the key component of a multirate
framework are highlighted. A linear stability analysis of the resulting
approach is presented and the stability features of the resulting algorithm are
analysed. The analysis framework is completely general and allows to study
along the same lines the stability of self adjusting multirate methods based on
a generic one step solver. A number of numerical experiments demonstrate the
efficiency and accuracy of the resulting approach also the time discretization
of hyperbolic partial differential equations.

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The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an