Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High phase-lag order trigonometrically fitted two-step Obrechkoff
  methods for the numerical solution of periodic initial value problems   In this paper, we present the two-step trigonometrically fitted symmetric
Obrechkoff methods with algebraic order of twelve. The method is based on the
symmetric two-step Obrechkoff method, with 12 algebraic order, high phase-lag
order and is constructed to solve IVPs with periodic solutions such as orbital
problems. We compare the new method to some recently constructed optimized
methods from the literature. The numerical results obtained by the new method
for some problems show its superiority in efficiency, accuracy and stability.

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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: hep-th
1
The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: nlin