Optimal quadratic interpolatory splines on general knotset
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 39 (2000) no. 1, pp. 73-94 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 41A15, 65D05, 65D07, 65F20
@article{AUPO_2000_39_1_a5,
     author = {Kobza, Ji\v{r}{\'\i}},
     title = {Optimal quadratic interpolatory splines on general knotset},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     pages = {73--94},
     year = {2000},
     volume = {39},
     number = {1},
     mrnumber = {1826354},
     zbl = {1044.41007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPO_2000_39_1_a5/}
}
TY  - JOUR
AU  - Kobza, Jiří
TI  - Optimal quadratic interpolatory splines on general knotset
JO  - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY  - 2000
SP  - 73
EP  - 94
VL  - 39
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AUPO_2000_39_1_a5/
LA  - en
ID  - AUPO_2000_39_1_a5
ER  - 
%0 Journal Article
%A Kobza, Jiří
%T Optimal quadratic interpolatory splines on general knotset
%J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
%D 2000
%P 73-94
%V 39
%N 1
%U http://geodesic.mathdoc.fr/item/AUPO_2000_39_1_a5/
%G en
%F AUPO_2000_39_1_a5
Kobza, Jiří. Optimal quadratic interpolatory splines on general knotset. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 39 (2000) no. 1, pp. 73-94. http://geodesic.mathdoc.fr/item/AUPO_2000_39_1_a5/

[1] Fletcher R.: Practical Methods of Optimization. Wiley, New York, 1993. | MR

[2] Maess G.: Smooth interpolation of curves and surfaces by quadratic splines with minimal curvature. In: Numerical methods and Applications ’84, Sofia, 1985, 75-81.

[3] Kobza J.: Optimal interpolation with quadratic splines on simple grid. Dept. Math. Anal. and Appl. Math., Fac. Sci., Palacki Univ., Olomouc, Preprint series 31, Proceed. ODAM’99 (1999), 7-22. | MR

[4] Kobza J.: Splajny. VUP, Olomouc, 1993 (textbook in Czech).

[5] Kobza J.: Natural and smoothing quadratic spline. Appl. of Math. 36, 3 (1991), 187-204. | MR | Zbl

[6] Kobza J.: Computing solutions of linear difference equations. Dept. Math. Anal. and Appl. Math., Fac. Sci., Palacki Univ., Olomouc, Preprint series 21, 1999; Proceedings SANM XIII, Nectiny 1999, 157-172.

[7] Kobza J.: Quadratic splines interpolating derivatives. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 30 (1991), 219-233. | MR | Zbl

[8] Björck A.: Numerical Methods for Least Squares Problems. SIAM, Philadelphia, 1996. | MR | Zbl

[9] Brugnano L., Trigiante D.: Solving Differential Problems by Multistep Initial and Boundary Value Methods. Gordon and Breach Publ., 1998. | MR