C2 Cubic Algebraic Hyperbolic Spline Interpolating Scheme by Means of Integral Values

Eddargani, Salah

doi:10.3390/math10091490

mathematics-10-01490.pdf (409.7Kb)

Identificadores

URI: http://hdl.handle.net/10481/75184

DOI: 10.3390/math10091490

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Materia

Algebraic hyperbolic splines

Integro cubic interpolation

Hermite representation

Date

2022-04-29

Referencia bibliográfica

Eddargani, S... [et al.]. C2 Cubic Algebraic Hyperbolic Spline Interpolating Scheme by Means of Integral Values. Mathematics 2022, 10, 1490. [https://doi.org/10.3390/math10091490]

Sponsorship

Department of Applied Mathematics of the University of Granada; Hassan First University of Settat

Abstract

In this paper, a cubic Hermite spline interpolating scheme reproducing both linear polynomials and hyperbolic functions is considered. The interpolating scheme is mainly defined by means of integral values over the subintervals of a partition of the function to be approximated, rather than the function and its first derivative values. The scheme provided is C2 everywhere and yields optimal order. We provide some numerical tests to illustrate the good performance of the novel approximation scheme.

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