Geometric construction of numerical integration, Engineering Mathematics

Assignment Help:

The integral

1725_Geometric construction.png

has an exact answer, viz., sinc(pfT). As T®¥ the sinc function tends to zero. Divide the region from -T/2 to T/2 into N equal parts and sum the rectangles on bases Δt =T/N , showing that

1378_Geometric construction1.png

Observe that this function is periodic. For a given choice of f and T construct a table to show by how much the discrete version of the integral differs from the true value. Does inclusion of only half the areas of the end rectangles make much difference? Note that you have included N+1 points in your sum. What happens if you have only N points, i.e., if you do not include one of the end rectangles. A geometric construction may assist.


Related Discussions:- Geometric construction of numerical integration

Hypothesis of this statement , A) For a given integer n, if n   2 is divisi...

A) For a given integer n, if n   2 is divisible by 4, then n2   4 is divisible by 16. State the hypothesis of this sentence and the conclusion. Give a direct proof of the statement

Mann''s test for the weibull distribution, How do i perform mann''s test fo...

How do i perform mann''s test for the weibull distribution

All.., Ask question #Minimum 100thank you words accepted#

Ask question #Minimum 100thank you words accepted#

Use lagrange interpolation to estimate function, Use Lagrange interpolation...

Use Lagrange interpolation to estimate f(3), given that f(1) = 1, f(4) = -3, f(2) = 0 and f(-1) = 3.

11, y''(x)=2*10^-6*y(x)(100000-y(x))

y''(x)=2*10^-6*y(x)(100000-y(x))

Dot plot graph, What does a dot plot graph look like with the measurements ...

What does a dot plot graph look like with the measurements 85.1 mm,85.0 mm,85.2 mm, and 85.1 mm

#titlExample - Electronics application of 3×3 System of Ee.., #quExample - ...

#quExample - Electronics application of 3×3 System of Equations Find the electric currents shown by solving the matrix equation (obtained using Kirchhoff''s Law) arising from this

Accurately measure the fluid level, You are working as an engineer on a pro...

You are working as an engineer on a project that involved being able to accurately measure the fluid level change in a large outdoor holding tank. The fluid level rises and falls a

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd