Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solving differential Riccati equations: A nonlinear space-time method
  using tensor trains   Differential algebraic Riccati equations are at the heart of many
applications in control theory. They are time-depent, matrix-valued, and in
particular nonlinear equations that require special methods for their solution.
Low-rank methods have been used heavily computing a low-rank solution at every
step of a time-discretization. We propose the use of an all-at-once space-time
solution leading to a large nonlinear space-time problem for which we propose
the use of a Newton-Kleinman iteration. Approximating the space-time problem in
low-rank form requires fewer applications of the discretized differential
operator and gives a low-rank approximation to the overall solution.

25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph