mws_gen_inp_ppt_ndd - Newtons Divided Difference Polynomial...

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http://numericalmethods.eng.usf.edu 1 Newton’s Divided Difference Polynomial Method of Interpolation Major: All Engineering Majors Authors: Autar Kaw, Jai Paul http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM Undergraduates
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Newton’s Divided Difference Method of Interpolation http://numericalmethods.eng.usf.edu
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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.
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http://numericalmethods.eng.usf.edu 4 Interpolants Polynomials are the most common choice of interpolants because they are easy to: Evaluate Differentiate, and Integrate .
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http://numericalmethods.eng.usf.edu 5 Newton’s Divided Difference Method Linear interpolation : Given pass a linear interpolant through the data where ), , ( 0 0 y x ), , ( 1 1 y x ) ( ) ( 0 1 0 1 x x b b x f + = ) ( 0 0 x f b = 0 1 0 1 1 ) ( ) ( x x x f x f b =
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