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- W3040817650 abstract "In this paper, we use the finite element method to construct a new normalized basis of a univariate C 2 cubic spline space endowed with a specific subdivision of a real interval. Based on the polar forms, we introduce a new representation of the Hermite interpolant of any C 2 piecewise polynomial defined over this subdivision and we construct several superconvergent discrete quasi-interpolants which have an optimal approximation order. This approach is simple and provides an interesting approximation. Numerical results are given to illustrate the theoretical ones." @default.
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- W3040817650 date "2020-12-01" @default.
- W3040817650 modified "2023-09-28" @default.
- W3040817650 title "Construction of superconvergent quasi-interpolants using new normalized <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e8736 altimg=si92.svg><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> cubic B-splines" @default.
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- W3040817650 doi "https://doi.org/10.1016/j.matcom.2020.07.009" @default.
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