On nonpolynomial monotonicity‐preserving C1 spline interpolation. Issue 4 (7th April 2021)

• Record Type: Journal Article
• Authors: Barrera, Domingo; Eddargani, Salah; Lamnii, Abdellah; Oraiche, Mohammed
• Is Part Of: Computational and mathematical methods. Volume 3:Issue 4(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2021-04-07
• Subjects: algebraic trigonometric splines -- Hermite interpolation -- many‐knot splines -- monotonicity‐preserving interpolation; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1160
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract: New C 1 cubic Hermite interpolation methods based on algebraic trigonometric (AT) spline functions are proposed. In the first one, values of a function and its first derivatives are interpolated. In the second one, a C 1 AT‐spline of low degree which preserves the monotonicity of the given data is defined by adding additional knots. Numerical examples are provided to show the good performance of both interpolation schemes.