Hermite Interlineation on a System of Non-Intersecting Lines: a review
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| 024 | 7 | 0 | |a 10.1007/s10559-015-9719-8 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10559-015-9719-8 | ||
| 245 | 0 | 0 | |a Hermite Interlineation on a System of Non-Intersecting Lines: a review |h [Elektronische Daten] |c [I. Sergienko, O. Litvin, O. Litvin, O. Tkachenko, O. Gritsaj] |
| 520 | 3 | |a The authors present a method to construct operators of Hermite interlineation for functions of two and three variables in a Cartesian and cylindrical coordinate systems for the case where experimental data (traces of a function and its partial derivatives up to a preassigned order) are defined on a system of non-intersecting lines. These operators automatically keep the class of differentiability of the approximated function. On their basis, a method is proposed to construct Hermite interpolation operators for functions of two variables in a cylindrical coordinate system with automatic preservation of the class of differentiability to which the approximated function belongs. For the case where the values of derivatives of some or all orders are unknown, they can be considered parameters of control of isogeometric properties of the surface under construction. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 690 | 7 | |a Hermite interpolation |2 nationallicence | |
| 690 | 7 | |a Hermite inerlineation |2 nationallicence | |
| 690 | 7 | |a interlineation with keeping differentiability class |2 nationallicence | |
| 690 | 7 | |a isogeometric properties of surface being constructed |2 nationallicence | |
| 700 | 1 | |a Sergienko |D I. |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine |4 aut | |
| 700 | 1 | |a Litvin |D O. |u Ukrainian Engineering and Pedagogical Academy, Kharkiv, Ukraine |4 aut | |
| 700 | 1 | |a Tkachenko |D O. |u State Enterprise "Ivchenko-Progress,”, Zaporozhye, Ukraine |4 aut | |
| 700 | 1 | |a Gritsaj |D O. |u State Enterprise "Ivchenko-Progress,”, Zaporozhye, Ukraine |4 aut | |
| 773 | 0 | |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/2(2015-03-01), 276-285 |x 1060-0396 |q 51:2<276 |1 2015 |2 51 |o 10559 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10559-015-9719-8 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10559-015-9719-8 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sergienko |D I. |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Litvin |D O. |u Ukrainian Engineering and Pedagogical Academy, Kharkiv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Tkachenko |D O. |u State Enterprise "Ivchenko-Progress,”, Zaporozhye, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Gritsaj |D O. |u State Enterprise "Ivchenko-Progress,”, Zaporozhye, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/2(2015-03-01), 276-285 |x 1060-0396 |q 51:2<276 |1 2015 |2 51 |o 10559 | ||