Difference between revisions of "Numerical Integration"
From Sutherland_wiki
m (→Summary of Common Quadrature Formulas) |
|||
Line 48: | Line 48: | ||
| | | | ||
* Requires three equally spaced points on the interval <math>[a,b]</math> | * Requires three equally spaced points on the interval <math>[a,b]</math> | ||
− | * On the interval <math>[a,b]</math>, we have <math>\Delta x = \tfrac{b-a}{ | + | * On the interval <math>[a,b]</math>, we have <math>\Delta x = \tfrac{b-a}{2}</math> and <math>x_i = a + i \Delta x</math> |
|} | |} | ||
</center> | </center> | ||
− | |||
− | |||
− | |||
== Composite Rules: Quadrature == | == Composite Rules: Quadrature == |
Revision as of 09:25, 7 July 2008
Contents
Introduction
Midpoint Rule
Example
Trapezoid Rule
Example
Simpson's 1/3 Rule
Example
Summary of Common Quadrature Formulas
Name | Formula | Comments |
---|---|---|
Midpoint Rule |
| |
Trapezoid Rule |
| |
Simpson's 1/3 Rule |
|