| Title:
|
Interpolace — vývoj formulace problému a jeho řešení (Czech) |
| Title:
|
Interpolation – development of formulation of the problem and its solution (English) |
| Author:
|
Kobza, Jiří |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
44 |
| Issue:
|
4 |
| Year:
|
1999 |
| Pages:
|
273-294 |
| . |
| Category:
|
math |
| . |
| MSC:
|
41-01 |
| MSC:
|
41A05 |
| MSC:
|
65D05 |
| idZBL:
|
Zbl 1055.41500 |
| . |
| Date available:
|
2010-12-11T17:37:38Z |
| Last updated:
|
2012-08-25 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141006 |
| . |
| Reference:
|
[1] Atteia, M.: Hilbertian Kernels and Spline Functions.North Holland, 1992. Zbl 0767.41015, MR 1205348 |
| Reference:
|
[2] Berezin, I. S., Židkov, N. P.: Metody vyčislenij I, II.Moskva 1959, 1966. |
| Reference:
|
[3] Brezinski, C.: Handbook of Numerical Analysis, III.North Holland, 1994. MR 1307407 |
| Reference:
|
[4] Bojanov, B. D., Hakopian, H. A., Sahakian, A. A.: Spline Functions and Multivariate Interpolations.Kluwer, Dordrecht 1993. Zbl 0772.41011 |
| Reference:
|
[5] Ciarlet, P. G.: The Finite Element Method for Elliptic Problems.North Holland, 1978. Zbl 0383.65058, MR 0520174 |
| Reference:
|
[6] Ciarlet, P. G., Raviart, P. A.: General Lagrange and Hermite Interpolation in $R^n$ with Applications to FEM.Arch. Rational Mech. Anal. 46 (1972), 177–199. Zbl 0243.41004, MR 0336957 |
| Reference:
|
[7] Ciarlet, P. G., Wagschal, C.: Multipoint Taylor Formulas.Numer. Math. 17 (1971), 84–100. Zbl 0199.50104, MR 0287666 |
| Reference:
|
[8] De Boor, C.: A Practical Guide to Splines.Springer Verlag, 1978. Zbl 0406.41003, MR 0507062 |
| Reference:
|
[9] De Boor, C., Höllig, K., Riemenschneider, S.: Box Splines.Springer Verlag, 1993. MR 1243635 |
| Reference:
|
[10] Drs, L.: Plochy ve výpočetní technice.SNTL, Praha 1984. |
| Reference:
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[11] Farin, G.: Curves and Surfaces for CAGD.Acad. Press, 1990. MR 1058011 |
| Reference:
|
[12] Faux, I. D., Pratt, M. J.: Computational Geometry.E. Horwood, 1979. Zbl 0395.51001 |
| Reference:
|
[13] Gelfond, A. O.: Isčislenije koněčnych raznostěj.Nauka, Moskva 1967. MR 0220693 |
| Reference:
|
[14] Chui, Ch.: Multivariate Splines.SIAM, Phil. 1988. Zbl 0687.41018, MR 1033490 |
| Reference:
|
[15] Chung, K. C., Yao, T. H.: On lattices admitting unique Lagrange interpolation.SIAM J. Numer. Anal. 14 (1977), 735–743. MR 0445158 |
| Reference:
|
[16] Kobza, J.: Splajny.Vydavatelství UP, Olomouc 1993. |
| Reference:
|
[17] Kobza, J.: Computing local parameters of biquartic interpolatory splines.J. Comput. Appl. Math. 63 (1995), 229–236. Zbl 0859.65010, MR 1365563 |
| Reference:
|
[18] Kobza, J.: Quadratic and quartic splines in MATLAB.Folia Fac. Sci. UM Brunensis, Math. 5 (1997), 47–65. Zbl 0915.65008, MR 1630855 |
| Reference:
|
[19] Lorentz, R. A.: Multivariate Birkhoff Interpolation.Springer Verlag, 1992. Zbl 0760.41002, MR 1222648 |
| Reference:
|
[20] Lorentz, G. G., Jetter, K., Riemenschneider, S.: Birkhoff Interpolation.Springer, 1983. Zbl 0522.41001, MR 0680938 |
| Reference:
|
[21] Nikolaides, R. A.: On a class of finite elements generated by Lagrange interpolation.SIAM J. Numer. Anal. 9 (1972), 435–445. MR 0317511 |
| Reference:
|
[22] Sauer, T., Xu, Y.: On multivariate Lagrange interpolation.Math. Comp. 64 (1995), 1147–1170. Zbl 0823.41002, MR 1297477 |
| Reference:
|
[23] Schumaker, L.: Spline Functions. Basic Theory.Wiley, 1981. Zbl 0449.41004, MR 0606200 |
| Reference:
|
[24] Vinogradov, I. M.: Matematičeskaja enciklopedija I–V.Moskva 1982. |
| Reference:
|
[25] Walsh, J. H.: Interpolation and Approximation by Rational Functions in the Complex Domain.AMS Colloquium Publications, 1960. Zbl 0106.28104, MR 0218587 |
| . |
