11166
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Numerical Integration: Romberg's Method
Romberg's method is a powerful numerical integration technique that uses refinements of the extended trapezoidal rule to reduce error in definite integrals.
Contributed by:
Eugenio Bravo Sevilla
SNAPSHOTS
DETAILS
Each element of the column
is calculated from the elements of the preceding column,
, using the expression
.
The elements of the first column are calculated using the trapezoidal rule with
subdivisions.
RELATED LINKS
Romberg Integration
(
Wolfram
MathWorld
)
Trapezoidal Rule
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Numerical Integration: Romberg's Method
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/NumericalIntegrationRombergsMethod/
Contributed by:
Eugenio Bravo Sevilla
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Using Sampled Data to Estimate Derivatives, Integrals, and Interpolated Values
Robert L. Brown
Numerical Evaluation of Some Definite Integrals
Mikhail Dimitrov Mikhailov
Newton-Cotes Quadrature Formulas
Eugenio Bravo Sevilla
Numerical Integration Examples
Jason Beaulieu and Brian Vick
Numerical Integration using Rectangles, the Trapezoidal Rule, or Simpson's Rule
Bartosz Naskrecki
Numerical Methods for Differential Equations
Edda Eich-Soellner
Newton's Method on a Mesh of Initial Guesses
Ken Levasseur
Integration using Hermite Reduction
Sam Blake
Pólya Vector Fields and Complex Integration along Closed Curves
Don Krug and Steven Wilkinson
Improper Integrals
Bruce Atwood
Related Topics
Approximation Methods
Calculus
College Mathematics
Integrals
Numerical Analysis
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+