Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three kinds of novel multi-symplectic methods for stochastic Hamiltonian
  partial differential equations   Stochastic Hamiltonian partial differential equations, which possess the
multi-symplectic conservation law, are an important and fairly large class of
systems. The multi-symplectic methods inheriting the geometric features of
stochastic Hamiltonian partial differential equations provide numerical
approximations with better numerical stability, and are of vital significance
for obtaining correct numerical results. In this paper, we propose three novel
multi-symplectic methods for stochastic Hamiltonian partial differential
equations based on the local radial basis function collocation method, the
splitting technique, and the partitioned Runge-Kutta method. Concrete numerical
methods are presented for nonlinear stochastic wave equations, stochastic
nonlinear Schr\"odinger equations, stochastic Korteweg-de Vries equations and
stochastic Maxwell equations. We take stochastic wave equations as examples to
perform numerical experiments, which indicate the validity of the proposed
methods.

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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th