Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Dynamic Theory-Based Method for the Computation of an Unstable
  Equilibrium Point   In this paper, a new combination of a dynamic transformation method and a
trajectory-based integration technique is proposed for the model independent
computation of unstable equilibrium points (UEPs). The transformation method
converts a UEP into a stable equilibrium point (SEP) to expand the convergence
region by creating a quotient gradient system. The resulting SEP is then
calculated using a quasi-Newton form of the pseudo-transient continuation
method that exploits the structure of the quotient gradient system to speed up
computation. The proposed method's conditions for convergence are presented,
and the method is tested on the WSCC 9-bus 3-machine system and the IEEE
145-bus 50-machine system. The results show that the proposed method gives
accurate results, it is sufficiently fast, numerically stable, and enlarges the
convergence region of the UEP.

37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn