Shape Preserving C3 Data Interpolation and C3 Histopolation with Splines on Threefold Refined Grids

DOI10.1002/zamm.19960760902zbMath0887.65009OpenAlexW1996398844MaRDI QIDQ4361962

Jochen W. Schmidt, Walter Heß

Publication date: 28 October 1997

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19960760902

zbMATH Keywords

algorithmscubic splinesshape preserving interpolationquartic splinesconvex \(C^ 3\) interpolationmonotone and positive \(C^ 2\) histopolationthreefold refined grids

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Spline approximation (41A15)

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Staircase algorithm and construction of convex spline interpolants up to the continuity \(C^3\) ⋮ Rational spline histopolation of convex data

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