Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Family of Runge-Kutta Methods with Zero Phase-Lag and Derivatives for
  the Numerical Solution of the Schr\"odinger Equation and Related Problems   We construct a family of two new optimized explicit Runge-Kutta methods with
zero phase-lag and derivatives for the numerical solution of the
time-independent radial Schr\"odinger equation and related ordinary
differential equations with oscillating solutions. The numerical results show
the superiority of the new technique of nullifying both the phase-lag and its
derivatives.

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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc