Piecewise Linear Interpolation and Spline Interpolation

This lecture covers the concepts of piecewise linear interpolation and spline interpolation. Piecewise linear interpolation involves defining points on a curve, while spline interpolation uses a function to approximate data points. The lecture discusses the stability of the interpolation methods and the convergence of errors. It also explains the process of interpolating data points using splines and the conditions for successful interpolation.