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Algebraic hyperbolic spline quasi-interpolants and applications.
- Source :
-
Journal of Computational & Applied Mathematics . Feb2019, Vol. 347, p196-209. 14p. - Publication Year :
- 2019
-
Abstract
- Abstract In this paper, a construction of Marsden's identity for UAH B-splines (i.e. Uniform Algebraic Hyperbolic B-splines) is developed and a clear proof is given. With the help of this identity, quasi-interpolant schemes that produce the space of algebraic hyperbolic functions are derived. Efficient quadrature rules, based on integrating some of these quasi-interpolant schemes, are constructed and studied. Numerical results that illustrate the effectiveness of these rules are presented. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SPLINES
*INTERPOLATION
*SPLINE theory
*HYPERBOLIC functions
*NUMERICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 347
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 132776226
- Full Text :
- https://doi.org/10.1016/j.cam.2018.08.018