Difference between revisions of "Numerical Integration"
From Sutherland_wiki
Line 3: | Line 3: | ||
== Common Quadrature Formulas == | == Common Quadrature Formulas == | ||
+ | |||
+ | |||
=== Midpoint Rule === | === Midpoint Rule === | ||
+ | |||
+ | ==== Example ==== | ||
+ | |||
+ | |||
=== Trapezoid Rule === | === Trapezoid Rule === | ||
+ | |||
+ | ==== Example ==== | ||
+ | |||
+ | |||
=== Simpson's 1/3 Rule === | === Simpson's 1/3 Rule === | ||
+ | |||
+ | ==== Example ==== | ||
Line 44: | Line 56: | ||
|} | |} | ||
</center> | </center> | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | == Composite Rules: Quadrature == | ||
+ | |||
+ | === Algorithm === | ||
+ | === Examples === | ||
== Matlab Tools for Quadrature == | == Matlab Tools for Quadrature == |
Revision as of 07:07, 3 July 2008
Contents
Introduction
Common Quadrature Formulas
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 |
|