Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit high-order energy-preserving methods for general Hamiltonian
  partial differential equations   A novel class of explicit high-order energy-preserving methods are proposed
for general Hamiltonian partial differential equations with non-canonical
structure matrix. When the energy is not quadratic, it is firstly done that the
original system is reformulated into an equivalent form with a modified
quadratic energy conservation law by the energy quadratization approach. Then
the resulting system that satisfies the quadratic energy conservation law is
discretized in time by combining explicit high-order Runge-Kutta methods with
orthogonal projection techniques. The proposed schemes are shown to share the
order of explicit Runge-Kutta method and thus can reach the desired high-order
accuracy. Moreover, the methods are energy-preserving and explicit because the
projection step can be solved explicitly. Numerical results are addressed to
demonstrate the remarkable superiority of the proposed schemes in comparison
with other structure-preserving methods.

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The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-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
15
The categories of this paper are: nucl-ex