Near-optimal tension parameters in convexity preserving interpolation by generalized cubic splines Full article
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Numerical Algorithms
ISSN: 1017-1398 , E-ISSN: 1572-9265 |
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| Output data | Year: 2021, Volume: 86, Number: 2, Pages: 833-861 Pages count : 29 DOI: 10.1007/s11075-020-00914-9 | ||
| Tags | Algorithm; Convex interpolation; Generalized cubic spline; Sufficient conditions of convexity; Tension parameters | ||
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Abstract:
We offer the algorithm for choosing tension parameters of the generalized splines for convexity preserving interpolation. The resulting spline minimally differs from the classical cubic spline and coincides with it if sufficient convexity conditions are satisfied for the last one. We consider specific algorithms for different generalized cubic splines such as rational, exponential, variable power, hyperbolic splines, and splines with additional knots. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
Cite:
Bogdanov V.V.
, Volkov Y.S.
Near-optimal tension parameters in convexity preserving interpolation by generalized cubic splines
Numerical Algorithms. 2021. V.86. N2. P.833-861. DOI: 10.1007/s11075-020-00914-9 WOS Scopus РИНЦ OpenAlex
Near-optimal tension parameters in convexity preserving interpolation by generalized cubic splines
Numerical Algorithms. 2021. V.86. N2. P.833-861. DOI: 10.1007/s11075-020-00914-9 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Sep 26, 2018 |
| Accepted: | Feb 27, 2020 |
| Published online: | Mar 21, 2020 |
Identifiers:
| Web of science: | WOS:000564981000002 |
| Scopus: | 2-s2.0-85082875731 |
| Elibrary: | 45471999 |
| OpenAlex: | W3012988637 |