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

Monthly salary of the clerk , The price indices for the monthly basis salar...

The price indices for the monthly basis salary of a clerk in years 1992 and 1994 based on year 1990 are 128 and 135. The monthly salary of the clerk in the year 1994 is RM810.

Modelling equations , how to model equations to determine the amount of oil...

how to model equations to determine the amount of oil in a reservior

Explain the integrated circuits, a. Explain the Integrated Circuits? What a...

a. Explain the Integrated Circuits? What are the benefits of ICs as compared to standard printed circuits? b. Explain in brief, the various steps included in fabrication of ICs.

Saving account at birth of their children, Parents put $1000 into a saving ...

Parents put $1000 into a saving account at birth of their children. If the account earns interest at 7% p.a compounded yearly, how much money will be in the account when their chil

Explain how conduction takes place in semiconductors, With the help of ener...

With the help of energy bands explain how conduction takes place in semiconductors. Semiconductors: Substances as carbon, germanium and silicon that electrical conductivity l

Linear Programming, A company manufactures an assembly consisting of a fram...

A company manufactures an assembly consisting of a frame, a shaft, and a ball bearing. The company manufactures the shafts and frames but purchases the ball bearings from a ball be

Find the polynomial, a) Use divided differences to ?nd the polynomial (in n...

a) Use divided differences to ?nd the polynomial (in nested form) that interpolates the data b) Add the data point x = 6, y = -20 and hence estimate y for x = 2.

Curve tracing in polar and cartesian form, i want assignment or notes on cu...

i want assignment or notes on curve tracing in polar form and cartesian form

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