A new approach to deal with C2 cubic splines and its application to super-convergent quasi-interpolation

D. Barrera, S. Eddargani, M.J. Ibáñez and A. Lamnii

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 194, issue C, 401-415

Abstract: In this paper, we construct a novel normalized B-spline-like representation for C2-continuous cubic spline space defined on an initial partition refined by inserting two new points inside each sub-interval. The basis functions are compactly supported non-negative functions that are geometrically constructed and form a convex partition of unity. With the help of the control polynomial theory introduced herein, a Marsden identity is derived, from which several families of super-convergent quasi-interpolation operators are defined.

Keywords: Bernstein–Bézier representation; Hermite interpolation; Normalized B-splines; Super-convergent quasi-interpolants; Control polynomials (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:194:y:2022:i:c:p:401-415

DOI: 10.1016/j.matcom.2021.12.003

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