What is cubic polynomial interpolation?
What is cubic polynomial interpolation? Cubic spline interpolation is a special case for Spline interpolation that is used very often to avoid the problem of Runge's phenomenon. This method gives an interpolating polynomial that is smoother and has smaller error than some other interpolating polynomials such as Lagrange polynomial and Newton polynomial. What is piecewise constant interpolation? The piecewise-constant, left-endpoint interpolation is an example of a first-order scheme. If p = 2, we say the scheme is second-order accurate; for h sufficiently small, reduction of h by a factor of two will reduce the error by a factor of four....