### Solving dynamical systems with cubic trigonometric splines.

Nikolis, Athanassios, Seimenis, Ioannis (2005)

Applied Mathematics E-Notes [electronic only]

Similarity:

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

Nikolis, Athanassios, Seimenis, Ioannis (2005)

Applied Mathematics E-Notes [electronic only]

Similarity:

Jiří Kobza, Radek Kučera (1993)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Similarity:

Jiří Kobza (1991)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Similarity:

Jiří Kobza (1992)

Applications of Mathematics

Similarity:

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 ${w}_{i}$ and smoothing parameter $\alpha $, is then studied. The algorithm for computing appropriate parameters of such splines is given and the dependence on the smoothing parameter $\alpha $ is mentioned.

Jiří Kobza, Dušan Zápalka (1991)

Applications of Mathematics

Similarity:

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.