E7Lecture13Summary - E7 Lecture 13: Interpolation...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: E7 Lecture 13: Interpolation & Approximation. . . Tad Patzek, Civil & Environmental Engineering, U.C. Berkeley March 17, 2008 Announcements. . . For this week read: Class book Chapters 7 and Chapras IV Class handouts for Lectures 13 and 14 Prof. T.W. Patzeks E7 Lecture 13: . . . p.1/23 Todays Lecture Today we shall learn about: Approximation and Interpolation Prof. T.W. Patzeks E7 Lecture 13: . . . p.2/23 Approximation We approximate a complicated or unknown function with a simpler function, e.g., a polynomial which is in some sense close to the known function values, but in general does not coincide with these values. A least square fit of a set of data points is a best approximation in the sense of minimizing the variance of deviations between the model and data. Prof. T.W. Patzeks E7 Lecture 13: . . . p.3/23 Interpolation We design a simpler function, e.g., a polynomial that must coincide with the known function values at discrete points. In-between the data points our interpolating function should behave nicely, for example, it should not oscillate wildly. Prof. T.W. Patzeks E7 Lecture 13: . . . p.4/23 Files to download. . . Screendigitizer.m + getcurve.m digitizes screen images LinearInt.m performs piecewise linear interpolation LagrangeInt.m performs interpolation with the Lagrange polynomial vibration.m piecewise linear and the L AGRANGE interpolations of a periodic and step function LagrangeDemo.m shows how 2, 3, and 4 points of an...
View Full Document

This note was uploaded on 03/04/2009 for the course E 7 taught by Professor Patzek during the Spring '08 term at University of California, Berkeley.

Page1 / 24

E7Lecture13Summary - E7 Lecture 13: Interpolation...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online