Geodesic
Interpolace — vývoj formulace problému a jeho řešení
Pokroky matematiky, fyziky a astronomie, Tome 44 (1999) no. 4, pp. 273-294 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 41-01, 41A05, 65D05 
@article{PMFA_1999_44_4_a1,
     author = {Kobza, Ji\v{r}{\'\i}},
     title = {Interpolace {\textemdash} v\'yvoj formulace probl\'emu a~jeho \v{r}e\v{s}en{\'\i}},
     journal = {Pokroky matematiky, fyziky a astronomie},
     pages = {273--294},
     year = {1999},
     volume = {44},
     number = {4},
     zbl = {1055.41500},
     language = {cs},
     url = {http://geodesic.mathdoc.fr/item/PMFA_1999_44_4_a1/}
}
TY  - JOUR
AU  - Kobza, Jiří
TI  - Interpolace — vývoj formulace problému a jeho řešení
JO  - Pokroky matematiky, fyziky a astronomie
PY  - 1999
SP  - 273
EP  - 294
VL  - 44
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/PMFA_1999_44_4_a1/
LA  - cs
ID  - PMFA_1999_44_4_a1
ER  - 
%0 Journal Article
%A Kobza, Jiří
%T Interpolace — vývoj formulace problému a jeho řešení
%J Pokroky matematiky, fyziky a astronomie
%D 1999
%P 273-294
%V 44
%N 4
%U http://geodesic.mathdoc.fr/item/PMFA_1999_44_4_a1/
%G cs
%F PMFA_1999_44_4_a1
Kobza, Jiří. Interpolace — vývoj formulace problému a jeho řešení. Pokroky matematiky, fyziky a astronomie, Tome 44 (1999) no. 4, pp. 273-294. http://geodesic.mathdoc.fr/item/PMFA_1999_44_4_a1/

[1] Atteia, M.: Hilbertian Kernels and Spline Functions. North Holland, 1992. | MR | Zbl

[2] Berezin, I. S., Židkov, N. P.: Metody vyčislenij I, II. Moskva 1959, 1966.

[3] Brezinski, C.: Handbook of Numerical Analysis, III. North Holland, 1994. | MR

[4] Bojanov, B. D., Hakopian, H. A., Sahakian, A. A.: Spline Functions and Multivariate Interpolations. Kluwer, Dordrecht 1993. | Zbl

[5] Ciarlet, P. G.: The Finite Element Method for Elliptic Problems. North Holland, 1978. | MR | Zbl

[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. | MR | Zbl

[7] Ciarlet, P. G., Wagschal, C.: Multipoint Taylor Formulas. Numer. Math. 17 (1971), 84–100. | MR | Zbl

[8] De Boor, C.: A Practical Guide to Splines. Springer Verlag, 1978. | MR | Zbl

[9] De Boor, C., Höllig, K., Riemenschneider, S.: Box Splines. Springer Verlag, 1993. | MR

[10] Drs, L.: Plochy ve výpočetní technice. SNTL, Praha 1984.

[11] Farin, G.: Curves and Surfaces for CAGD. Acad. Press, 1990. | MR

[12] Faux, I. D., Pratt, M. J.: Computational Geometry. E. Horwood, 1979. | Zbl

[13] Gelfond, A. O.: Isčislenije koněčnych raznostěj. Nauka, Moskva 1967. | MR

[14] Chui, Ch.: Multivariate Splines. SIAM, Phil. 1988. | MR | Zbl

[15] Chung, K. C., Yao, T. H.: On lattices admitting unique Lagrange interpolation. SIAM J. Numer. Anal. 14 (1977), 735–743. | MR

[16] Kobza, J.: Splajny. Vydavatelství UP, Olomouc 1993.

[17] Kobza, J.: Computing local parameters of biquartic interpolatory splines. J. Comput. Appl. Math. 63 (1995), 229–236. | MR | Zbl

[18] Kobza, J.: Quadratic and quartic splines in MATLAB. Folia Fac. Sci. UM Brunensis, Math. 5 (1997), 47–65. | MR | Zbl

[19] Lorentz, R. A.: Multivariate Birkhoff Interpolation. Springer Verlag, 1992. | MR | Zbl

[20] Lorentz, G. G., Jetter, K., Riemenschneider, S.: Birkhoff Interpolation. Springer, 1983. | MR | Zbl

[21] Nikolaides, R. A.: On a class of finite elements generated by Lagrange interpolation. SIAM J. Numer. Anal. 9 (1972), 435–445. | MR

[22] Sauer, T., Xu, Y.: On multivariate Lagrange interpolation. Math. Comp. 64 (1995), 1147–1170. | MR | Zbl

[23] Schumaker, L.: Spline Functions. Basic Theory. Wiley, 1981. | MR | Zbl

[24] Vinogradov, I. M.: Matematičeskaja enciklopedija I–V. Moskva 1982.

[25] Walsh, J. H.: Interpolation and Approximation by Rational Functions in the Complex Domain. AMS Colloquium Publications, 1960. | MR | Zbl