Polynomial Interpolation III

Divided Differences and Conclusions - Interpolation Error and Formulas - Repeated Arguments and Derivatives - Multivariate Polynomial Interpolation

■ Specific Sources

! Script Hermite Interpolation

! Script Multivariate Interpolation

Hermite Interpolation (Osculation): http://en.wikipedia.org/wiki/Hermite_interpolation

Multivariate Interpolation and Applications in Image Processing:
-Bilinear und Tri-Linear: http://en.wikipedia.org/wiki/Bilinear_interpolation und http://en.wikipedia.org/wiki/Trilinear_interpolation
-Image Scaling/Resampling: http://en.wikipedia.org/wiki/Image_scaling

■ Teaching Material for the Classroom (Mathematica Notebooks, Exercises, Demos etc.)

! Solutions 2

! Exercises 3 (Multivariate Interpolation)
! Solutions 3 (Multivariate Interpolation)

★ Further Topics or Subjects from the Bachelor Degree Program

Bi- und Tri-Cubic Spline Interpolation:
http://en.wikipedia.org/wiki/Bicubic_interpolation und http://en.wikipedia.org/wiki/Tricubic_interpolation

☆ General Sources (Encyclopedias a.s.o. with prompt or index search)

Mathworld: http://www.mathworld.com
Wikipedia Category of Numerical Analysis: en.wikipedia.org
Springer Encyclopedia of Math Online (Advanced): https://encyclopediaofmath.org