Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics, numerical analysis, and some geometry   Geometric aspects play an important role in the construction and analysis of
structure-preserving numerical methods for a wide variety of ordinary and
partial differential equations. Here we review the development and theory of
symplectic integrators for Hamiltonian ordinary and partial differential
equations, of dynamical low-rank approximation of time-dependent large matrices
and tensors, and its use in numerical integrators for Hamiltonian tensor
network approximations in quantum dynamics.

28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys