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

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Numerical Methods for Engineers 13.002 Lecture 9 Numerical Differentiation Taylor Series First order x f(x) h n=1
Background image of page 2
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
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
This is the end of the preview. Sign up to access the rest of the document.

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 (Cotes Numbers) Properties Numerical Methods for Engineers 13.002 Lecture 9 Numerical Integration Trapezoidal Rule Simpsons 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 Simpsons Rule Local Error Global Error Local Error N Intervals...
View Full Document

Page1 / 6

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

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online