Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Oversampling is a necessity for RBF-collocation method of lines   We study a radial basis functions least-squares (RBF-LS), a.k.a. kernel-based
LS, collocation method of lines [arXiv:2109.03409] for solving surface
diffusion problems. Our convergence analysis requires that collocation points
has to be sufficiently dense with respect to the RBF centers. In this paper, we
further study how oversampling ratio, which is the numbers of collocation
points over that of RBF centers for quasi-uniform sets, affects eigenvalue
stability, time stepping sizes taken by Runge-Kutta methods, and accuracy.

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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys