On nonpolynomial monotonicity-preserving C1 spline interpolation

IF 0.9 Q3 MATHEMATICS, APPLIED Computational and Mathematical Methods Pub Date : 2021-03-20 DOI:10.1002/cmm4.1160
Domingo Barrera, Salah Eddargani, Abdellah Lamnii, Mohammed Oraiche
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引用次数: 4

Abstract

New C1 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 C1 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.

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非多项式保持单调的C1样条插值
提出了基于代数三角样条函数的C1三次Hermite插值新方法。在第一种方法中,对函数的值及其一阶导数进行插值。在第二种方法中,通过添加额外的结点来定义保持给定数据单调性的低次C1 at样条。数值算例表明了两种插值方法的良好性能。
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