Purchase Solution

Numerical Analysis Problem Using Matlab

Not what you're looking for?

Ask Custom Question

With the definition that pi is the area of the unit circle, explain why pi equals 8 times the integral from 0 to 1/sqrt(2) of (sqrt(1 - x^2) - x) dx. use the Romberg algorithm to approximate the integral. Provide the codes used and all the results and work.

Purchase this Solution
Solution Summary

This provides an example of using Romberg algorithm to approximate an integral in Matlab

Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions

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

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

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

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.

View More Free Quizzes
Related BrainMass Solutions

  • Matlab integral

    217468 Numerical Analysis Problem using Matlab Write a function to calculate the integral from a to b of f(x) dx using the composite trapezoid rule with n equal subunits. test the code on a) the integral from 0 to pi of sin(x), b) the integral from 0

  • Matlab and numerical analysis

    This provides examples of three numerical analysis problems: the amount of time it takes a computer to calculate the determinant of a given matrix, solving a system using normal equations, and solving a nonlinear system using Matlab.

  • Simpson's scheme - Matlab

    217474 Numerical Analysis Problem using Matlab Evaluate the following with Simpson's scheme: 4 times the integral from 0 to 1 of 1/(1+x^2) and 8 times the integral of (sqrt(1 - x^2) - x) from 0 to 1/sqrt(2).

  • Round-off error

    This provides an example of investigating how round-off error might affect the numerical calculations involving certain matrices using Matlab.

  • Numerical solutions Euler & Runge Kutta

    540340 Numerical solutions Euler & Runge Kutta Need to solve and compare the results of the linear vs non linear pendulum problem.

  • GAUSSIAN NUMERICAL INTEGRATION

    The verification can be numerical (say using Matlab) or symbolic (say using Maple or Mathematica). c. Apply I1 and I2 to the evaluation of... Please see attached. Please see attached file.

  • Numerical integration and the Euler method

    To verify it, we can compare the result with using ode45 function (fourth order method) in matlab to obtain a solution with high precision.

  • optimization

    233108 Optimization I have a problem that needs to be solved using any numerical programming. It has been solved and two examples are provided for validation. The only thing missing is the procedure program.

  • Trapezium Rule

    Matlab codes: n=10; a=1;b=2.6; h=(b-a)/n; x=a:h:b; sum=a^2*sin(a)+b^2*sin(b); for i=2:n % the index in Matlab starts from 1 instead of 0 sum=sum+2*(x(i))^2*sin(x(i)); end % the area area=h/2*sum; This provides an example of using Trapezium

View More Related Solutions