Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the conservation properties of the generalized-$\alpha$ method   We show that the second-order accurate generalized-$\alpha$ method on a
uniform temporal mesh may be viewed as an implicit midpoint method on a shifted
temporal mesh. With this insight, we demonstrate generalized-$\alpha$ time
integration of a finite element spatial discretization of a conservation law
system results in a fully-discrete method admitting discrete balance laws when
(i) the time integration is second-order accurate, (ii) a uniform temporal mesh
is employed, (iii) the spatial discretization is conservative, and (iv)
conservation variables are discretized.

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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int