Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Nature of Self-Consistency in Density Functional Theory   A thesis providing a pedagogical introduction to the problem of achieving
self-consistency in density functional theory. Contained is an introduction to
the framework of Kohn-Sham density functional theory, leading then to the
considerations required to solve the equations of Kohn-Sham density functional
theory. Specifically, a focus is placed on where current self-consistent field
methodology is inefficient and/or fails to converge to a solution. As such,
this review spans sub-disciplines such as numerical analysis of linear and
non-linear systems, linear response theory, and general electronic structure
theory. Toward the end of the thesis, certain contemporary methods for
achieving self-consistency from literature are outlined, and a novel,
computationally efficient preconditioning strategy is proposed. This work is
implemented in the CASTEP software.

12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas