Purchase Solution

Numerical analysis and Gaussian quadrature

Not what you're looking for?

Ask Custom Question

A function of two variables f(x,y) is integrated over the square [0,2] x [-1,1]. ex: integral from 0 to 2 , integral from -1 to 1 f(x,y) dx dy. (I wanted to input integral symbols there but didn't know how). Build a 25- point numerical integration scheme based on 5- point Gaussian quadrature in the x and y directions. Specify the quadrature points and the summation weights.

Note: f(x,y) is not given meaning it may be any function of 2 variables over the square [0,2] x [-1,1]

Purchase this Solution

Solution Summary

This solution answers questions involving numerical analysis and Guassian quadratures. Step by step calculations are provided.

Solution Preview

The last equation I = sum(sum( wi*wj*f(zi,nj+1) ) ) from i = 1,n; j = 1,n is the 25 point numerical integration scheme. It is derived and it states that we can integrate a function by using 25 points. These points are attained when we expand this sum. In this problem, n = 5. We can get the first five points for when i = 1.

i = 1:
I1 = ...

Purchase this Solution


Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.