Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy-preserving multi-symplectic Runge-Kutta methods for Hamiltonian
  wave equations   It is well-known that a numerical method which is at the same time geometric
structure-preserving and physical property-preserving cannot exist in general
for Hamiltonian partial differential equations. In this paper, we present a
novel class of parametric multi-symplectic Runge-Kutta methods for Hamiltonian
wave equations, which can also conserve energy simultaneously in a weaker sense
with a suitable parameter. The existence of such a parameter, which enforces
the energy-preserving property, is proved under certain assumptions on the
fixed step sizes and the fixed initial condition. We compare the proposed
method with the classical multi-symplectic Runge-Kutta method in numerical
experiments, which shows the remarkable energy-preserving property of the
proposed method and illustrate the validity of theoretical results.

31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn