Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A New Methodology for the Development of Numerical Methods for the
  Numerical Solution of the Schr\"odinger Equation   In the present paper we introduce a new methodology for the construction of
numerical methods for the approximate solution of the one-dimensional
Schr\"odinger equation. The new methodology is based on the requirement of
vanishing the phase-lag and its derivatives. The efficiency of the new
methodology is proved via error analysis and numerical applications.

29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph