Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A least squares radial basis function finite difference method with
  improved stability properties   Localized collocation methods based on radial basis functions (RBFs) for
elliptic problems appear to be non-robust in the presence of Neumann boundary
conditions. In this paper we overcome this issue by formulating the
RBF-generated finite difference method in a discrete least-squares setting
instead. This allows us to prove high-order convergence under node refinement
and to numerically verify that the least-squares formulation is more accurate
and robust than the collocation formulation. The implementation effort for the
modified algorithm is comparable to that for the collocation method.

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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol