hw10 - Homework 10 Math 471, Fall 2007 Assigned: Thursday,...

Info iconThis preview shows pages 1–2. 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
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Homework 10 Math 471, Fall 2007 Assigned: Thursday, November 19, 2007 Due: Thursday, November 30, 2007 Include a cover page Clearly label all plots using title , xlabel , ylabel , legend Use the subplot command to compare multiple plots Include printouts of all Matlab code, labeled with your name, date, section, etc. (1) (Piecewise Linear Interpolation) Use the error theorem on p. 390 to compute an upper bound on the pointwise error from interpolating f ( x ) = e- x 2 on the interval [- 4 , 4] with piecewise linear functions at the points- 4,- 2, 0, 2, and 4. (2) (Cubic Spline Interpolation) P. 403 #10, P. 404 #15 (3) (Richardson Extrapolation) P. 454 #11 (4) (NewtonCotes). Suppose that f is a function with four continuous derivatives on the interval [ a,b ]. Recall that the error bound for the composite trapezoidal rule T ( h ) with panel width h is T ( h )- Z b a f ( x )d x = ( b- a ) h 2 12 f 00 ( ) for some [ a,b ]. The error in the composite Simpsons rule]....
View Full Document

Page1 / 2

hw10 - Homework 10 Math 471, Fall 2007 Assigned: Thursday,...

This preview shows document pages 1 - 2. Sign up to view the full document.

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