User Guide 027

16 Appendix F: Piecewise Lagrangian Polynomial Interpolation Piecewise polynomials in Lagrange form are given by (16-1) where = interpolation data values corresponding to = order or the interpolation polynomial = Lagrange basis polynomials given by (16-2) The Lagrange basis polynomials are such that (16-3) One advantage of using Lagrange polynomials is that the interpolation weights (Lagrange basis functions ) are not a function of . This prop-erty is useful when many interpolations are needed for the same but different such as in the case of interpolating spatial datasets in time.