Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy-Preserving and Passivity-Consistent Numerical Discretization of
  Port-Hamiltonian Systems   In this paper we design discrete port-Hamiltonian systems systematically in
two different ways, by applying discrete gradient methods and splitting methods
respectively. The discrete port-Hamiltonian systems we get satisfy a discrete
notion of passivity, which lets us, by choosing the input appropriately, make
them globally asymptotically stable with respect to an equilibrium point. We
test methods designed using the discrete gradient approach in numerical
experiments, and the results are encouraging when compared to relevant existing
integrators of identical order.

6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org