Abstract
Approximation orders are estimated for the invariant scheme of charge simulation method on a disc with scattered collocation points. Our analysis implies that the error decays exponentially with respect to a measure of the density of the collocation points, which is consistent with the results of numerical experiments. It is essential to regard the invariant scheme as an approximation using a conditionally strictly positive definite function.
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Kazashi, Y., Sugihara, M. Error estimation for the invariant scheme of charge simulation method on a disc with scattered points. Japan J. Indust. Appl. Math. 31, 305–321 (2014). https://doi.org/10.1007/s13160-014-0135-7
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DOI: https://doi.org/10.1007/s13160-014-0135-7