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- W2019464731 abstract "Optimal nodal spline interpolantsWfof ordermwhich have local support can be used to interpolate a continuous functionfat a set of mesh points. These splines belong to a spline space with simple knots at the mesh points as well as atm−2 arbitrary points between any two mesh points and they reproduce polynomials of orderm. It has been shown that, for a sequence of locally uniform meshes, these splines converge uniformly for anyf∈Cas the mesh norm tends to zero. In this paper, we derive a set of sufficient conditions on the sequence of meshes for the uniform convergence ofDjWftoDjfforf∈Csandj=1, …, s<m. In addition we give a bound forDrWfwiths<r<m. Finally, we use optimal nodal spline interpolants for the numerical evaluation of Cauchy principal value integrals." @default.
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- W2019464731 date "1997-03-01" @default.
- W2019464731 modified "2023-10-16" @default.
- W2019464731 title "Convergence of Derivatives of Optimal Nodal Splines" @default.
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- W2019464731 doi "https://doi.org/10.1006/jath.1996.3012" @default.
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