CHEN 3201 Lecture Notes - Lecture 25: Polynomial Interpolation, Linear Interpolation, Interpolation
21 Mar 2015
School
Department
Course
Professor
Document Summary
10:12 am for hw, changed alpha and beta values. Numerical integration we want to calculate doesn"t even have to be a functioncan be many tabulated values. Idea: replace f(x) with that is easier to integrate. Easiest choice: f(x) =~ polynomial want it in a form where it"s easy to find coefficients we can integrate polynomials more easily than maybe the original function. 5 points -- >4th order polynomial passes through all of the points. Chen3201_numericalmethods page 1 this is the interpolation the slope at intermediate point x has to be the same as the slope btwn the 2 points. This has the form have 2 coefficients since have 2 points (2 degrees of freedom) only x is not a number, everything else is a number. Good idea: newton"s method if x = x0, if x = x1: if x = x2, right now, appreas like it"s worse than solving the bad idea matrixbut easier to implement taking avg.
