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Efficient high-order rational integration and deferred correction with equispaced data

Abstract:

Stable high-order linear interpolation schemes are well suited for the accurate approximation of antiderivatives and the construction of efficient quadrature rules. In this paper we utilize for this purpose the family of linear barycentric rational interpolants by Floater and Hormann, which are particularly useful for interpolation with equispaced nodes. We analyze the convergence of integrals of these interpolants to those of analytic functions as well as functions with a finite number of co...

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Publication date:
2013-06-05
URN:
uuid:a363bc31-ca59-47cc-afcc-fda49cb1a42f
Local pid:
oai:eprints.maths.ox.ac.uk:1708

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