mws_gen_inp_ppt_direct(1)

mws_gen_inp_ppt_direct(1) - Direct Method of Interpolation...

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

View Full Document Right Arrow Icon
http://numericalmethods.eng.usf.edu 1 Direct Method of Interpolation Major: All Engineering Majors Authors: Autar Kaw, Jai Paul http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM Undergraduates
Background image of page 1

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

View Full DocumentRight Arrow Icon
Direct Method of Interpolation http://numericalmethods.eng.usf.edu
Background image of page 2
http://numericalmethods.eng.usf.edu 3 What is Interpolation ? Given (x 0 ,y 0 ), (x 1 ,y 1 ), …… (x n ,y n ), find the value of ‘y’ at a value of ‘x’ that is not given. Figure 1 Interpolation of discrete.
Background image of page 3

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

View Full DocumentRight Arrow Icon
http://numericalmethods.eng.usf.edu 4 Interpolants Polynomials are the most common choice of interpolants because they are easy to: Evaluate Differentiate, and Integrate
Background image of page 4
http://numericalmethods.eng.usf.edu 5 Direct Method Given ‘n+1’ data points (x 0 ,y 0 ), (x 1 ,y 1 ),…………. . (x n ,y n ), pass a polynomial of order ‘n’ through the data as given below: where a 0 , a 1 ,………………. a n are real constants. Set up ‘n+1’ equations to find ‘n+1’ constants. To find the value ‘y’ at a given value of ‘x’, simply substitute the value of ‘x’ in the above polynomial. . .......... .......... 1 0 n n x a x a a y + + + =
Background image of page 5

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

View Full DocumentRight Arrow Icon
http://numericalmethods.eng.usf.edu 6 Example 1 The upward velocity of a rocket is given as a function of time in Table 1. Find the velocity at t=16 seconds using the direct method for linear interpolation. 0 0 10
Background image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida.

Page1 / 18

mws_gen_inp_ppt_direct(1) - Direct Method of 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