Algorithm 46. Determination of an interpolating quadratic spline function
E. Neuman (1976)
Applicationes Mathematicae
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Displaying similar documents to “A Direct Algorithm for Optimal Quadratic Splines.”
Algorithm 46. Determination of an interpolating quadratic spline function
Quadratic splines smoothing the first derivatives
Jiří Kobza (1992)
Applications of Mathematics
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The extremal property of quadratic splines interpolating the first derivatives is proved. Quadratic spline smoothing the given values of the first derivative, depending on the knot weights and smoothing parameter , is then studied. The algorithm for computing appropriate parameters of such splines is given and the dependence on the smoothing parameter is mentioned.
An Algorithm for Computing Constrained Smoothing Spline Functions.
Tommy Elfving, Lars-Erik Andersson (1987/88)
Numerische Mathematik
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Algorithms 70-71. Determination of a quadratic spline function with given values of the integrals in subintervals
E. Neuman (1980)
Applicationes Mathematicae
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Optimal quadratic interpolatory splines on general knotset
Jiří Kobza (2000)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Interpolating and smoothing biquadratic spline
Radek Kučera (1995)
Applications of Mathematics
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The paper deals with the biquadratic splines and their use for the interpolation in two variables on the rectangular mesh. The possibilities are shown how to interpolate function values, values of the partial derivative or values of the mixed derivative. Further, the so-called smoothing biquadratic splines are defined and the algorithms for their computation are described. All of these biquadratic splines are derived by means of the tensor product of the linear spaces of the quadratic...
Sur le choix du paramètre d'ajustement dans le lissage par fonctions spline.
F. Utreras Diaz (1980)
Numerische Mathematik
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Natural and smoothing quadratic spline. (An elementary approach)
Jiří Kobza, Dušan Zápalka (1991)
Applications of Mathematics
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For quadratic spine interpolating local integrals (mean-values) on a given mesh the conditions of existence and uniqueness, construction under various boundary conditions and other properties are studied. The extremal property of such's spline allows us to present an elementary construction and an algorithm for computing needed parameters of such quadratic spline smoothing given mean-values. Examples are given illustrating the results.