2-04-08 - Interpolation Discreteanalysis o Goal: o...

This preview shows page 1. Sign up to view the full content.

2/4/08 Interpolation Discrete analysis o Goal: Find continuous functions from discrete data o Linear interpolation Let x i < x < x i+1 Know y i =f(x i ) y i +1 = f(x i +1) Question: y=f(x)? y = y i + (y i +1 – yi) ((x‐x i )/(x i +1‐x i )) =f(x) Nonlinear interpolation Polynomial interpolation General n th order polynomial P n (x) = a 0 +a 1 x+a 2 x 2 + +a n x n all a i (n+1 of them) are unknown constants
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern