Knotenwerte
Knotenwerte are the numerical values of a function at designated points, called Knoten or nodes, within a given interval or domain. In interpolation theory, the Knotenwerte together with the Knoten form the data set that defines an interpolating polynomial or spline. Each Knotenwert corresponds uniquely to its Knoten, providing the ordinate that the interpolation function must reproduce exactly at that point.
Historically, the concept of Knotenwerte dates back to the early 19th‑century work on polynomial interpolation by
In practice, Knotenwerte are usually measured or computed data points, such as temperature readings along a
The accuracy of the resulting interpolant depends on the distribution of Knoten and the magnitude of their
Overall, Knotenwerte are fundamental to numerical approximation and simulation, encapsulating the essential information from which continuous