# lect_9 - n=2 Numerical Methods for Engineers 13.002 Lecture...

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Numerical Methods for Engineers 13.002 Lecture 9 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 9 Numerical Differentiation Taylor Series First order x f(x) h n=1
Numerical Methods for Engineers 13.002 Lecture 9 x f(x) h h n=2 Numerical Differentiation Second order Second Derivatives n=3 Central Difference Forward Difference

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Unformatted text preview: n=2 Numerical Methods for Engineers 13.002 Lecture 9 Numerical Integration x f(x) a b Lagrange Interpolation Equidistant Sampling Integration Weights (Cote’s Numbers) Properties Numerical Methods for Engineers 13.002 Lecture 9 Numerical Integration Trapezoidal Rule Simpson’s Rule x f(x) h x f(x) h h n=2 n=1 Numerical Methods for Engineers 13.002 Lecture 9 Numerical Integration Error Analysis x f(x) h h Trapezoidal Rule Local Absolute Error Global Error Simpson’s Rule Local Error Global Error Local Error N Intervals...
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lect_9 - n=2 Numerical Methods for Engineers 13.002 Lecture...

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