Some properties of interpolating quadratic spline
Kobza, Jiří
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 29 (1990), p. 45-64 / Harvested from Czech Digital Mathematics Library
Publié le : 1990-01-01
Classification:  41A05,  41A15,  65D07
@article{120243,
     author = {Ji\v r\'\i\ Kobza},
     title = {Some properties of interpolating quadratic spline},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     volume = {29},
     year = {1990},
     pages = {45-64},
     zbl = {0748.41006},
     mrnumber = {1144830},
     language = {en},
     url = {http://dml.mathdoc.fr/item/120243}
}
Kobza, Jiří. Some properties of interpolating quadratic spline. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 29 (1990) pp. 45-64. http://gdmltest.u-ga.fr/item/120243/

Ahlberg J.H.; Nilson E.N.; Walsh J.L. The Theory of Splines and Their Applications, Acad. Press 1967. (1967) | MR 0239327 | Zbl 0158.15901

De Boor C. A Practical Guide to Splines, Springer, 1978. (1978) | MR 0507062 | Zbl 0406.41003

Fiedler M. Speciální matice a jejich použití v numerické matematice, SNTL Praha, 1981. (1981) | Zbl 0531.65008

Kammerer W.J.; Reddien G.W.; Varga L.S. Quadratic interpolatory splines, Numer. Mathematik 22 (1974), 241-259. (1974) | MR 0381235 | Zbl 0271.65006

Kobza J. On algorithms for parabolic splines, Acta UPO, FRN, Vol. 88, Math. XXVI, pp.169-185. | MR 1033338 | Zbl 0693.65005

Kobza J. An algorithm for biparabolic spline, Aplikace matematiky, 32 (1987), 401-413. (1987) | MR 0909546 | Zbl 0635.65006

Kobza J. Evaluation and mapping of parabolic interpolating spline, Knižnica algoritmov, IX.diel, 51-58; JSMF Bratislava 1987. (1987)

Kobza J. Natural and smoothing quadratic spline, To appear in Aplikace matematiky. | Zbl 0731.65006

Laurent P.J. Approximation et Optimization, Hermann, Paris 1972. (1972) | MR 0467080

Maess B.; Maess G. Interpolating quadratic splines with norm-minimal curvature, Rostock. Math. Kolloq. 26 (1984), 83-88. (1984) | MR 0778184 | Zbl 0551.65003

Maess G. Smooth interpolation of curves and surfaces by quadratic splines with minim al curvature, Numerical Methods and Applications ’84, Sofia 1985, 75-81. (1985)

Marsden M.J. Quadratic spline interpolation, Bull.AMS, 80 (1974), 903-906. (1974) | MR 0358154 | Zbl 0295.41005

Mcallister D.F.; Passow E.; Roulier J.A. Algorithms for computing shape preserving spline interpolation to data, Mathematics of Computations, 31 (1977), 717-725. (1977) | MR 0448805

Mcallister D.F.; Roulier J.A. An algorithm for computing a shape-preserving oscilatory quadratic spline, ACM Trans. Math. Software 7 (1981), 331-347, 384-386 (Alg.574). (1981) | MR 0630439

Passow E. Monotone quadratic spline, Journal Approx.Theory 19 (1977), 143-147. (1977) | MR 0440246 | Zbl 0361.41005

Schumaker L. On shape preserving quadratic spline interpolation, SIAM J. Num. Anal. 20 (1983), 854-864. (1983) | MR 0708462 | Zbl 0521.65009

Стечкин C. B.; Сыбботин Ю. H. Сплейны в вычислительной математике, Hayкa, Mocква 1976. (1976) | Zbl 1226.05083

Завьялов Ю. C.; Квасов B. И.; Мирошниченко B. Л. Методы сплейн функций, Hayкa, Mocква 1980. (1980) | Zbl 1229.60003

Завьялов Ю. C.; Леус В. А.; Cкороспелов B. A. Сплейны в инженерной геометрии, Машиностроение, Mocква 1985. (1985) | Zbl 1223.81144