ABSTRACT
When taking measurements in experiments, we often collect discrete data that may describe the behavior of a desired quantity of interest at selected discrete locations. These data in general may be over irregular domains in ℝ1, ℝ2, and ℝ3. Constructing a mathematical description of these data is helpful and sometimes necessary if we desire to perform operations of integration, differentiation, etc. for the physics described by these data. One of the techniques or methods of constructing a mathematical description for discrete data is called interpolation. Interpolation yields an analytical expression for the discrete data. This expression then can be integrated or differentiated, thus permitting operations of integration or differentiation on discrete data. The interpolation technique ensures that the mathematical expression so generated will yield precise function values at the discrete locations that are used in generating it.
