Question: 1. a. Interpolate the function sin(x) at 5 Chebyshev points (using both Chebyshev-Gauss-Lobatto, and Chebyshev-Gauss) over the interval [0; pi/2]. Compare your results to those

1. a. Interpolate the function sin(x) at 5 Chebyshev points (using both Chebyshev-Gauss-Lobatto, and Chebyshev-Gauss) over the interval [0; pi/2]. Compare your results to those you obtained in Homework 5 (using equispaced nodes). b. Repeat (interpolate sin(x)), but this time use 5 Chebyshev points (using both Chebyshev-Gauss-Lobatto, and Chebyshev-Gauss) over the interval [0;pi ]. What can you say?

2. Interpolate the Runge function 1/(1 + 25x^2) on the interval [-1; 1] using 10, 15, 20, and 25 equidistant points and 10, 15, 20, and 25 Chebyshev points (using both Chebyshev-Gauss-Lobatto, and Chebyshev-Gauss). Graph the interpolants.

Please provide only Matlab Code

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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

Students Have Also Explored These Related Databases Questions!

1. a. Interpolate the function sin(x) at 5 Chebyshev points (using both Chebyshev-Gauss-Lobatto, and Chebyshev-Gauss) over the interval [0; pi/2]. Compare your results to those you obtained in...

1. a. Interpolate the function sin(x) at 5 Chebyshev points (using both Chebyshev-Gauss-Lobatto, and Chebyshev-Gauss) over the interval [0; pi/2]. Please provide MATLAB code only.

1. a. Interpolate the function sin(x) at 5 Chebyshev points (using both Chebyshev-Gauss-Lobatto, and Chebyshev-Gauss) over the interval [0; pi/2]. I used this code below, but it is not working in...

Exercise Set 6.1: Sum and Difference Formulas Simplify each of the following expressions. 1. sin ( x ) 2. 3 cos x + 2 3. cos x 2 4. sin ( + x ) 5. sin 60 + sin 60 + 6. cos 60 + cos 60 + 7. cos x +...

4.1 Special Right Triangles and Trigonometric Ratios Chapter 4 Trigonometric Functions Section 4.1: Special Right Triangles and Trigonometric Ratios Special Right Triangles Trigonometric Ratios...

Math 1330 Precalculus Electronic Homework (EHW 3) Sections 4.1, 4.2 Work the following problems and choose the correct answer. The problems that refer to the Textbook may be found at www.casa.uh.edu...

1. (a) (15 points) Write a program to determine the function sin x from the infinite series sinr = (-1) p2i+1 (21 + 1)! i=0 stopping the calculation when the next term in the sum is less than 10-6 in...

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....

MATLAB ASSIGN 1- Follow Directions and Complete. Will Thumbs Up! Directions: Unless otherwise specified, your write-up should contain the MATLAB input commands, the corresponding output, and the...

Bracy Company acquired a new piece of construction equipment on January 1, 2011, at a cost of $100,000. The equipment was expected to have a useful life of 10 years and a residual value of $20,000...

What primary characteristic distinguishes the very successful project managers from the more mediocre project managers?

According to the text, a new product is one that is physically changed. None of these answers is correct. completely new, physically and conceptually. unique. new in any way for the company concerned.

E6-17 Analyzing Gross Profit Percentage on the Basis of a Multistep Income Statement (LO 6-6] [The following information applies to the questions displayed below.] The following data were provided by...

___ 4. Security and stability are more important to me than freedom and autonomy.

___ 2. I am most fulfilled in my work when I have been able to integrate and manage the efforts of others.

___ 6. I will feel successful in my career only if I have a feeling of having made a real contribution to the welfare of society.