Biquadratic splines interpolating mean values

Jiří Kobza; Jan Mlčák

Applications of Mathematics (1994)

  • Volume: 39, Issue: 5, page 339-356
  • ISSN: 0862-7940

Abstract

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Continuity conditions for a biquadratic spline interpolating given mean values in terms of proper parameters are given. Boundary conditions determining such a spline and the algorithm for computing local parameters for the given data are studied. The notion of the natural spline and its extremal property is mentioned.

How to cite

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Kobza, Jiří, and Mlčák, Jan. "Biquadratic splines interpolating mean values." Applications of Mathematics 39.5 (1994): 339-356. <http://eudml.org/doc/32889>.

@article{Kobza1994,
abstract = {Continuity conditions for a biquadratic spline interpolating given mean values in terms of proper parameters are given. Boundary conditions determining such a spline and the algorithm for computing local parameters for the given data are studied. The notion of the natural spline and its extremal property is mentioned.},
author = {Kobza, Jiří, Mlčák, Jan},
journal = {Applications of Mathematics},
keywords = {splines; biquadratic splines; mean value interpolation; mean value interpolation; continuity conditions; biquadratic spline},
language = {eng},
number = {5},
pages = {339-356},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Biquadratic splines interpolating mean values},
url = {http://eudml.org/doc/32889},
volume = {39},
year = {1994},
}

TY - JOUR
AU - Kobza, Jiří
AU - Mlčák, Jan
TI - Biquadratic splines interpolating mean values
JO - Applications of Mathematics
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 5
SP - 339
EP - 356
AB - Continuity conditions for a biquadratic spline interpolating given mean values in terms of proper parameters are given. Boundary conditions determining such a spline and the algorithm for computing local parameters for the given data are studied. The notion of the natural spline and its extremal property is mentioned.
LA - eng
KW - splines; biquadratic splines; mean value interpolation; mean value interpolation; continuity conditions; biquadratic spline
UR - http://eudml.org/doc/32889
ER -

References

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  1. A practical guide to splines, Springer Verlag, New York, 1978. (1978) Zbl0406.41003MR0507062
  2. On algorithms for parabolic splines, Acta UPO, FRN, Math. XXIV 88 (1987), 169–185. (1987) Zbl0693.65005MR1033338
  3. Some properties of interpolating quadratic spline, Acta UPO, FRN, Math. XXIX 97 (1990), 45–63. (1990) Zbl0748.41006MR1144830
  4. Quadratic splines interpolating derivatives, Acta UPO, FRN, Math. XXX 100, 219–233. Zbl0758.41005MR1166439
  5. An algorithm for biparabolic spline, Appl. Math. 32(5) (1987), 401–413. (1987) Zbl0635.65006MR0909546
  6. Quadratic splines smoothing the first derivatives, Appl. Math. 37(2) (1992), 149–156. (1992) Zbl0757.65006MR1149164
  7. Natural and smoothing quadratic spline, Appl. Math. 36(3) (1991), 187–204. (1991) MR1109124
  8. Smooth interpolation of curves and surfaces by quadratic splines with minimal curvature, Numerical methods and applications ’84, Sofia, 1985, pp. 75–81. (1985) 
  9. The methods of spline functions (in Russian), Nauka, Moscow, 1980. (1980) MR0614595

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