Implement a numerical integration rule in C. As Exercise 5.1, but implement the numerical…

Implement a numerical integration rule in C.

As Exercise 5.1, but implement the numerical integration
rule and the function to be integrated in C.

Exercise 5.1

Implement a numerical integration rule in F77.

Implement the Trapezoidal rule (4.1) from Exercise 4.5 on
page 150 in F77 along with a function to integrate and a main program. Verify
that the program works (check, e.g., that a linear function is integrated
exactly, i.e., the error is zero to machine precision). Thereafter, interface
this code from Python and write a new main program in Python calling the
integration rule in F77 (
»

Implement a numerical integration rule in C.

As Exercise 5.1, but implement the numerical integration
rule and the function to be integrated in C.

Exercise 5.1

Implement a numerical integration rule in F77.

Implement the Trapezoidal rule (4.1) from Exercise 4.5 on
page 150 in F77 along with a function to integrate and a main program. Verify
that the program works (check, e.g., that a linear function is integrated
exactly, i.e., the error is zero to machine precision). Thereafter, interface
this code from Python and write a new main program in Python calling the
integration rule in F77 (the function to be integrated is still implemented in
F77). Compare the timings with the plain and vectorized Python versions in the
test problem suggested in Exercise 4.5.

Exercise 4.5

Vectorize a numerical integration rule.

The integral of a function f(x) from x = a to x = b can be
calculated numerically by the Trapezoidal rule:

Implement this approximation in a Python function containing
a straightforward loop.

The code will run slowly compared to a vectorized version.
Make the vectorized version and introduce timings to measure the gain of
vectorization. Use the function

f1(x)=1+2x

as test functions for the integration.

»

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more