Question: Show that the error E(f ) for Composite Simpson's rule can be approximated by h4/180 [f''' (b) f'''(a)].

Show that the error E(f ) for Composite Simpson's rule can be approximated by
− h4/180 [f''' (b) − f'''(a)].

Step by Step Solution

★★★★★

3.33 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To show that the sum is a Rieman... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

731-M-N-A-N-L-A (420).docx

120 KBs Word File

Students Have Also Explored These Related Numerical Analysis Questions!

Q:

Show that the error term vi in Eq. (9.27) is homoscedastic.

Q:

Show that the error used in approximating S by Sn satisfies Where the notation is the same as in the discussion preceding Example 5? En2 f(x) dx n+1

Q:

Show that the Linear Approximation to f (x) = x at x = 9 yields the estimate 9 + h 3 1/6 h. Set K = 0.01 and show that |f(x)| K for x 9. Then verify numerically that the error E satisfies Eq. (5)...

Q:

Downloaded 02/28/15 to 132.174.255.3. Redistribution subject to SIAM license or copyright; see http://www.siam.org/journals/ojsa.php 15.7. Exercises 475 changes and we laugh no more. While...

Q:

Create a MATLAB function: Homework Problem 3: Numerical Integration with Simpson's Rule In this exercise, you will create a function to compute definite integrals using Simpson's rule and the com...

Q:

Math 104A Homework #2 Instructor: Lihui Chai General Instructions: Please write your homework papers neatly. You need to turn in both full printouts of your codes and the appropriate runs you made....

Q:

Math 104A Homework #3 Instructor: Lihui Chai General Instructions: Please write your homework papers neatly. You need to turn in both full printouts of your codes and the appropriate runs you made....

Q:

please answer By-hand problem Approximate the above integral using the composite Simp- son rule with 2 intervals of equal length (take n = 4). How many evaluations of the function f [2:] are...

Q:

ECE 2240: Numerical Methods for Engineers Winter 2017 Lab 5: Numerical Differentiation and Integration Apr 3-7, 2017 The purpose of this lab is to: 1) Implement numerical methods for approximating...

Q:

Tactics Mentioned? Sample Size (n): ? Number of Groups: ? Number of Treatments: ? Standard Deviation ():? Standard Error:? Mean (): ? F Statistic: ? Degrees of Freedom (df):? P-Value:? An ANOVA...

Q:

The article "An Investigation into the Ball Burnishing of Aluminium Alloy 6061-T6" (M. El-Axir, J Engineering Manufacture, 2007:1733-1742) presents the results of study that investigated the effects...

Q:

Determine the sample size needed to construct a 95% confidence interval to estimate the population proportion for the following sample proportions when the margin of error equals 4%: a. p = 0.30 b. p...

Q:

For a company to recognize an uncertain tax position, the probability of it not being upheld during a tax audit must exceed 30%. 40%. 50%. 60%

Q:

If earned value (EV) = 350, actual cost (AC) = 400, and planned value (PV) = 325, what is cost variance (CV)? A. 350 B. -75 C. 400 D. -50

Q:

An article in the Transactions of the Institution of Chemical Engineers (Vol. 34, 1956, pp. 280293) reported data from an experiment investigating the effect of several 31 F2 process variables on the...

Q:

The cold start ignition time of an automobile engine is being investigated by a gasoline manufacturer. The following times (in seconds) were obtained for a test vehicle: 1.75, 1.92, 2.62, 2.35, 3.09,...

Q:

The nine measurements that follow are furnace temperatures recorded on successive batches in a semiconductor manufacturing process (units are ): 953, 950, 948, 955, 951, 949, 957, 954, 955. (a)...

Q:

PLEASE ANSWER THE BLANKS, ALL THE ANSWERS I RECIEVED WERE INCORRECT We are evaluating a project that costs $832,000. has an eight-year life, and has no salvage value. Assume that depreciation is...

Q:

Joe entered into partnership with two others in the establishment of a real estate sales agency. The other two, Sam and Harry, had considerable experience in the real estate business but no money....

Q:

pls help asap! show calculations 10 points Save Answer Consider a four-year project with the following information: initial fixed asset investment = $375,000; straight-line depreciation to zero over...