Download presentation

Presentation is loading. Please wait.

Published byAldous West Modified over 6 years ago

1
1 Numerical Analysis Lecture 12 Numerical Integration Dr. Nader Okasha

2
Integration 2

3
3

4
4 The basic method of numerical integration is called: Numerical Quadrature Instead of integrating the function, we integrate an approximate polynomial of this function.

5
Trapezoidal Rule: 5 Lagrange interpolation is used with two points to find the first degree polynomial

6
Trapezoidal Rule: 6

7
Simpson’s Rule: 7 If an additional point in the interval [a, b] can be used, a higher order polynomial can be used to approximate the function for numerical integration purposes.

8
Simpson’s Rule: 8

9
9

10
10

11
11

12
12

13
13

14
14

15
15

16
16

17
17

18
18

19
19

20
20

21
21

22
22

23
23

24
24

25
25

Similar presentations

© 2022 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google