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# 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
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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