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Unformatted text preview: CMPSC/MATH 451 Numerical Computations Lecture 29 October 28, 2011 Prof. Kamesh Madduri Class Overview: Interpolation Bsplines (section 2) Octave tutorial, continued Nonlinear equations review (see slides in Exam folder) 2 Interpolation Polynomial Interpolation Piecewise Polynomial Interpolation Piecewise Polynomial Interpolation Hermite Cubic Interpolation Cubic Spline Interpolation Bsplines Bsplines form basis for family of spline functions of given degree Bsplines 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.
 Spring '08
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