Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lyapunov-Sylvester Computational Method for Two-Dimensional Boussinesq
  Equation   A numerical method is developed leading to algebraic systems based on
generalized Lyapunov-Sylvester operators to approximate the solution of
two-dimensional Boussinesq equation. It consists of an order reduction method
and a finite difference discretization. It is proved to be uniquely solvable,
stable and convergent by using Lyapunov criterion and manipulating
Lyapunov-Sylvester operators. Some numerical implementations are provided at
the end of the paper to validate the theoretical results.

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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol