com.imsl.test.example.math

Class HyperRectangleQuadratureEx1

java.lang.Object

com.imsl.test.example.math.HyperRectangleQuadratureEx1

public class HyperRectangleQuadratureEx1
extends Object

Evaluates a multi-dimensional integral.

This example evaluates the following multidimensional integral, with n=10. $$ \int_{a_{n-1}}^{b_{n-1}} \cdots \int_{a_0}^{b_0} \left[ \sum_{i=0}^n (-1)^i \prod_{j=0}^i x_j \right] \, dx_0 \ldots dx_{n-1} = \frac{1}{3}\left[ 1-\left(-\frac{1}{2}\right)^n\right] $$

See Also:

Code, Output

Constructor Summary

Constructors

Constructor and Description
HyperRectangleQuadratureEx1()

Method Summary

Modifier and Type	Method and Description
static void	main(String[] args)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

HyperRectangleQuadratureEx1

public HyperRectangleQuadratureEx1()

Method Detail

main

public static void main(String[] args)