lecture29 - CMPSC/MATH 451 Numerical Computations Lecture...

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Unformatted text preview: CMPSC/MATH 451 Numerical Computations Lecture 29 October 28, 2011 Prof. Kamesh Madduri Class Overview: Interpolation B-splines (section 2) Octave tutorial, continued Non-linear equations review (see slides in Exam folder) 2 Interpolation Polynomial Interpolation Piecewise Polynomial Interpolation Piecewise Polynomial Interpolation Hermite Cubic Interpolation Cubic Spline Interpolation B-splines B-splines form basis for family of spline functions of given degree B-splines can be defined in various ways, including recursion (which we will use), convolution, and divided differences Although in practice we use only finite set of knots t 1 ,. .. ,t n , for notational convenience we will assume infinite set of knots < t- 2 < t- 1 < t < t 1 < t 2 < Additional knots can be taken as arbitrarily defined points outside interval [ t 1 ,t n ] We will also use linear functions v k i ( t ) = ( t- t i ) / ( t i + k- t i ) Michael T. Heath Scientific Computing 51 / 56 Interpolation...
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This note was uploaded on 01/19/2012 for the course CMPSC 451 taught by Professor Staff during the Spring '08 term at Pennsylvania State University, University Park.

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lecture29 - CMPSC/MATH 451 Numerical Computations Lecture...

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