Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric numerical integrators for Hunter-Saxton-like equations   We present novel geometric numerical integrators for Hunter--Saxton-like
equations by means of new multi-symplectic formulations and known Hamiltonian
structures of the problems. We consider the Hunter--Saxton equation, the
modified Hunter--Saxton equation, and the two-component Hunter--Saxton
equation. Multi-symplectic discretisations based on these new formulations of
the problems are exemplified by means of the explicit Euler box scheme, and
Hamiltonian-preserving discretisations are exemplified by means of the discrete
variational derivative method. We explain and justify the correct treatment of
boundary conditions in a unified manner. This is necessary for a proper
numerical implementation of these equations and was never explicitly clarified
in the literature before, to the best of our knowledge. Finally, numerical
experiments demonstrate the favourable behaviour of the proposed numerical
integrators.

0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int