Homework Help is Here – Start Your Trial Now!
Engineering
Computer Engineering
5. Implement the Gauss-Legendre Quadrature rule with N nodes. For the computation of the quadrature nodes and weights of the Gauss-Legendre quadrature rule use the PYTHON module numpy.polynomial. legendre.leggauss. Test your function by showing its exactness is at least 1 for N = 1 and one interval: f 2xdx = 1 exactly. If the exactness is not at least 1, fix your code. - Fill in the following table by computing the integrals over [0, 1] of the indicated integrands using your code. It is given that the degree of exactness of the method is 2N-1. Error for N = 2 Error for N = 3 f 3x² 42-3 524 625 7.26 Degree

5. Implement the Gauss-Legendre Quadrature rule with N nodes. For the computation of the quadrature nodes and weights of the Gauss-Legendre quadrature rule use the PYTHON module numpy.polynomial. legendre.leggauss. Test your function by showing its exactness is at least 1 for N = 1 and one interval: f 2xdx = 1 exactly. If the exactness is not at least 1, fix your code. - Fill in the following table by computing the integrals over [0, 1] of the indicated integrands using your code. It is given that the degree of exactness of the method is 2N-1. Error for N = 2 Error for N = 3 f 3x² 42-3 524 625 7.26 Degree

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
See similar textbooks
icon
Related questions
Question

Please do question 6 (it is in the photo) with python coding. 

6. Implement the Gauss-Legendre Quadrature rule with N nodes. For the computation of the quadrature nodes and weights of the Gauss-Legendre quadrature rule use the PYTHON module numpy.polynomial. legendre.leggauss. Test your function by showing its exactness is at least 1 for N = 1 and one interval: 2xdx = 1 exactly. If the exactness is not at least 1, fix your code. - Fill in the following table by computing the integrals over [0, 1] of the indicated integrands using your code. It is given that the degree of exactness of the method is 2N - 1. Error for N = 2 Error for N = 3 f 3.x² 4.2.3 5x4 6.7-5 7.2-6 Degree
Transcribed Image Text:6. Implement the Gauss-Legendre Quadrature rule with N nodes. For the computation of the quadrature nodes and weights of the Gauss-Legendre quadrature rule use the PYTHON module numpy.polynomial. legendre.leggauss. Test your function by showing its exactness is at least 1 for N = 1 and one interval: 2xdx = 1 exactly. If the exactness is not at least 1, fix your code. - Fill in the following table by computing the integrals over [0, 1] of the indicated integrands using your code. It is given that the degree of exactness of the method is 2N - 1. Error for N = 2 Error for N = 3 f 3.x² 4.2.3 5x4 6.7-5 7.2-6 Degree
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

How will the output look for this particular code:

def leggauss_ab(n=2, a=0, b=1):

  assert(n>0)

  x,w = numpy.polynomial.legendre.leggauss(n)

  x = (b-a) * 0.5 *x+(b+a)*0.5

  w = w * (b-a) * 0.5

  return x,w 

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY
SEE MORE TEXTBOOKS