lect_8 - Introduction to Numerical Analysis for Engineers...

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Numerical Methods for Engineers 13.002 Lecture 8 Introduction to Numerical Analysis for Engineers • Interpolation 4.1-4.4 – Lagrange interpolation 4.3 – Triangular families 4.4 – Newton’s iteration method 4.4 – Equidistant Interpolation 4.4 • Numerical Differentiation 6.1-6.2 • Numerical Integration 7.1-7.3 – Error of numerical integration Mathews
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Numerical Methods for Engineers 13.002 Lecture 8 Numerical Interpolation Purpose of numerical Interpolation 1. Compute intermediate values of a sampled function 2. Numerical differentiation – foundation for Finite Difference and Finite Element methods 3. Numerical Integration Given: Find for
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Numerical Methods for Engineers 13.002 Lecture 8 Numerical Interpolation Polynomial Interpolation x f(x) Interpolation function Interpolation Polynomial Interpolation Coefficients: Linear System of Equations
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Numerical Methods for Engineers 13.002 Lecture 8 Numerical Interpolation Polynomial Interpolation Linear Interpolation Examples x f(x) x f(x) Quadratic Interpolation
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This note was uploaded on 09/13/2008 for the course CHE 348 taught by Professor Chelikowsky during the Spring '08 term at University of Texas at Austin.

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lect_8 - Introduction to Numerical Analysis for Engineers...

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