Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lagrangian and Hamiltonian Taylor Variational Integrators   In this paper, we present a variational integrator that is based on an
approximation of the Euler--Lagrange boundary-value problem via Taylor's
method. This can viewed as a special case of the shooting-based variational
integrator. The Taylor variational integrator exploits the structure of the
Taylor method, which results in a shooting method that is one order higher
compared to other shooting methods based on a one-step method of the same
order. In addition, this method can generate quadrature nodal evaluations at
the cost of a polynomial evaluation, which may increase its efficiency relative
to other shooting-based variational integrators. A symmetric version of the
method is proposed, and numerical experiments are conducted to exhibit the
efficacy and efficiency of the method.

12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
1
The categories of this paper are: cs
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg