Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Radial Basis Function (RBF)-Finite Difference Method for the
  Simulation of Reaction-Diffusion Equations on Stationary Platelets within the
  Augmented Forcing Method   We present a computational method for solving the coupled problem of chemical
transport in a fluid (blood) with binding/unbinding of the chemical to/from
cellular (platelet) surfaces in contact with the fluid, and with transport of
the chemical on the cellular surfaces. The overall framework is the Augmented
Forcing Point Method (AFM) (\emph{L. Yao and A.L. Fogelson, Simulations of
chemical transport and reaction in a suspension of cells I: An augmented
forcing point method for the stationary case, IJNMF (2012) 69, 1736-52.}) for
solving fluid-phase transport in a region outside of a collection of cells
suspended in the fluid. We introduce a novel Radial Basis Function-Finite
Difference (RBF-FD) method to solve reaction-diffusion equations on the surface
of each of a collection of 2D stationary platelets suspended in blood.
Parametric RBFs are used to represent the geometry of the platelets and give
accurate geometric information needed for the RBF-FD method. Symmetric
Hermite-RBF interpolants are used for enforcing the boundary conditions on the
fluid-phase chemical concentration, and their use removes a significant
limitation of the original AFM. The efficacy of the new methods are shown
through a series of numerical experiments; in particular, second order
convergence for the coupled problem is demonstrated.

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The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga