Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simulation of the Geometrically Exact Nonlinear String via Energy
  Quadratisation   String vibration represents an active field of research in acoustics.
Small-amplitude vibration is often assumed, leading to simplified physical
models that can be simulated efficiently. However, the inclusion of nonlinear
phenomena due to larger string stretchings is necessary to capture important
features, and efficient numerical algorithms are currently lacking in this
context. Of the available techniques, many lead to schemes which may only be
solved iteratively, resulting in high computational cost, and the additional
concerns of existence and uniqueness of solutions. Slow and fast waves are
present concurrently in the transverse and longitudinal directions of motion,
adding further complications concerning numerical dispersion. This work
presents a linearly-implicit scheme for the simulation of the geometrically
exact nonlinear string model. The scheme conserves a numerical energy,
expressed as the sum of quadratic terms only, and including an auxiliary state
variable yielding the nonlinear effects. This scheme allows to treat the
transverse and longitudinal waves separately, using a mixed finite
difference/modal scheme for the two directions of motion, thus allowing to
accurately resolve the wave speeds at reference sample rates. Numerical
experiments are presented throughout.

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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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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: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci