interpolation, sparse matrix, chebychev nodes, curve fitting, system of equations, runge's phenomenon

Uses cubic splines to interpolate a given set of data points

Solving the one-dimensional stationary heat equation with a Gaussian heat source by approximating the solution as a sum of Lagrange polynomials.

newton, lagrange, interpolation, chebychev nodes, runges phenomenon

Using polynomial interpolation to interpolate a set of points and to approximate a function or a curve.