Numerical solutions of ordinary differential equations with quadratic trigonometric splines.

Nikolis, Athanassios

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Displaying similar documents to “Numerical solutions of ordinary differential equations with quadratic trigonometric splines.”

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