Interpolace — vývoj formulace problému a jeho řešení
Методы типа Адамса с вторыми производными
Quadratic splines smoothing the first derivatives
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 biparabolic spline
The paper deals with the computation of suitably chosen parameters of a biparabolic spline (ot the tensor product type) on a rectangular domain. Some possibilities of choosing such local parameters (concentrated, dispersed parameters) are discussed. The algorithms for computation of dispersed parameters (using the first derivative representation) and concentraced parameters (using the second derivative representation) are given. Both these algorithms repeatedly use the one-dimensional algorithms....
Error estimate for quadratic spline interpolating the first derivatives
Some properties of interpolating quadratic spline
On algorithms for parabolic splines
Optimal polygonal interpolation
Numerical solution of some iterative differential equation
Quartic smoothing splines generalized
Some algorithm for computing local parameters of quartic interpolatory splines
Second derivative linear multistep formula and its stability on the imaginary axis
Stability of the second derivative linear multistep formulas
-spline representation of interpolating and smoothing quadratic spline
O polynomických řešeních homogenní lineární diferenciální rovnice druhého řádu
Quadratic splines interpolating derivatives
Die Transformationsfunktion für eine Differentialgleichung zweiter Ordnung
Quartic and biquartic interpolatory splines on simple grid
Spline recurrences for quartic splines
Quartic splines with minimal norms
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