Some splines produced by smooth interpolation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00480816" target="_blank" >RIV/67985840:_____/18:00480816 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2017.04.022" target="_blank" >http://dx.doi.org/10.1016/j.amc.2017.04.022</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2017.04.022" target="_blank" >10.1016/j.amc.2017.04.022</a>

Result language
angličtina
Original language name
Some splines produced by smooth interpolation
Original language description
The spline theory can be derived from two sources: the algebraic one (where splines are understood as piecewise smooth functions satisfying some continuity conditions) and the variational one (where splines are obtained via minimization of some quadratic functionals with constraints). We show that the general variational approach called smooth interpolation introduced by Talmi and Gilat covers not only the cubic spline but also the tension spline (called also spline in tension or spline with tension) in one or more dimensions. We show the results of a 1D numerical example that present the advantages and drawbacks of the tension spline.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA14-02067S" target="_blank" >GA14-02067S: Advanced methods for flow-field analysis</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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