Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A local greedy algorithm and higher order extensions for global
  numerical continuation of analytically varying subspaces   We present a family of numerical implementations of Kato's ODE propagating
global bases of analytically varying invariant subspaces, of which the
first-order version is a surprising simple "greedy algorithm" that is both
stable and easy to program and the second-order version a relaxation of a
first-order scheme of Brin and Zumbrun. The method has application to numerical
Evans function computations used to assess stability of traveling-wave
solutions of time-evolutionary PDE.

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The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn