A new basis for osculatory interpolation problems and applications

Lamnii, A.; Lamnii, M.; Oumellal, Fatima

doi:10.1016/j.amc.2016.02.060

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Cited by 3 publications

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“…In this section, we give some numerical tests that illustrate the performance of the above cubic and many-knot quadratic Hermite interpolation operators. For the sake of simplicity and in order to compare our method with some published results, 42,43 we consider the functions…”

Section: Numerical Resultsmentioning

confidence: 99%

On nonpolynomial monotonicity‐preservingC¹spline interpolation

Barrera

Eddargani

Lamnii

et al. 2021

Comp and Math Methods

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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.

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Section: Numerical Resultsmentioning

confidence: 99%