Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Total Variation in Hamiltonian Formalism and Symplectic-Energy
  integrators   We present a discrete total variation calculus in Hamiltonian formalism in
this paper. Using this discrete variation calculus and generating functions for
the flows of Hamiltonian systems, we derive two-step symplectic-energy
integrators of any finite order for Hamiltonian systems from a variational
perspective. The relationship between symplectic integrators derived directly
from the Hamiltonian systems and the variationally derived symplectic-energy
integrators is explored.

34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph