OURVE FITTING AND integral CURVES for NON-LINEAR DIFFERENTIAL EQUATIONS A Generalisod Stop-Function Approach

摘要

Generalised step-functions are used to give a curve of any specified degree of continuity passing through specified points. The method is then extended so that the slope and ordinate of the fitting curve are equal to those of a given curve, and finally a calculus is developed for matching both ordinate-slope and curvature at all points of regular subdivision by a generalised step function expression.