Gauss Quadrature Rule: Example

[iqbal009fly]

Thankx to you sir, you help me 2nd time in Gauss Quadrature 3 point rule .... U r GR8 :D :*

[H2oRiz]

I love the sound of his marker on the board

[kramaster3]

you sir are a genius!!! thank you sooo much!

[mono7891]

Thanks a lot for the great lesson.

I wrote a very simple VBA program based on your explanation.

[xjsmstr]

Thanks, seeing the example worked out really helped!

[JRodriguez609]

you used -0.7746 for the 1st x but it should be 0.7746 then you did the opposite for the third x thats why the result its ok but its confusing, would you clear that up for me?

[numericalmethodsguy]

@JRodriguez609 It is how one writes out the three quadrature points and the corresponding weights. Even if you shuffle them (of course the quad point has to be aligned with its corresponding weight), the result will not change.

f(a)+f(-a) is same as f(-a)+f(a)

[duhdon]

Thanks a lot big help !

[ariadne3s]

Dr. Autar--thanks for this.

Are there closed form solutions for finding ci and xi based on n (for n-pt Gaussian quadrature)? i.e., without going through the tedious process of solving the Legendre polynomial, etc.?

[numericalmethodsguy]

@ariadne3s I do not think so!

[ariadne3s]

@numericalmethodsguy

I suppose that would be too convenient...

Thanks for such a quick response.

[AnnabelLee25]

Hola, soy de México y te agradezco de verdad q hayas explicado este tema con un ejemplo, siempre es mas facil aprender asi, :)

[darko411]

hi, thanks heaps for the videos

just one thing that realllllllly annoys me is that you write x(as in the letter x) and x(multiplication sign) the same way.. i know it's easy to tell the difference most of the time, but some times when the problem is hard your brain just goes into meltdown wondering if it's an x for multiplication or unknown x.. drives me insane

this happened to me when i was following this, just needed to get that off my chest

[mumakmaster]

Thank you very much for your help.

[eliyam27]

thanks for posting math magic!

[bondsadi]

thnx a lot...all these videos are really helpful

[bobobano]

a very big thank you to you and all who share their knowledge freely via the internet. This is what it is meant for, and you are the people smart enough to make full use of it.

[syasir08]

Thank you for posting videos.. they are really helpful

[movingincircles]

thank you so much for this video, helped me a lot.

one thing to note though, i was confused when you used x as multiplication operator such as f(0.6x0.7746 + 0.7). I thought x was a variable. I was just not used to that style but good video!

[bucuresticarmen]

Dr. AUTAR K KAW thank you so much for taking the time to explain Gauuss Quadr. God bless you! You are doing a wonderful job.

ME student

ODU, VA

[allblues1001]

Can u kindly post a triple integral example?

Secondly from where can i get the table of weights and roots of Quadrature rule for upto 12 points?

[numericalmethodsguy]

Sorry, it is out of scope of the course I teach.

About the weights and abcissas, you can do a search for "gauleg.for numerical recipes fortran" in google. The first site that shows up gives you the fortran code to find these numbers.

[pimpingbuss]

Dr. AUTAR K KAW, I very much appreciate for posting all these videos. I had problem understanding numerical methods before but now after reviewing all your videos I understand whats going on. I also shared your videos with my other classmates in mechanical engineering and they all are loving your videos. On behalf of all the students in Mechanical Engineering Department at Concordia University I very much appreciate your help in teaching this course. God bless you,

Sincerely Yours,

Omid o.

[numericalmethodsguy]

Hello Omid:

Please continue to spread the word -thank you. We are hoping that these videos of help to all.

Autar

[wesleysin]

Great stuff.

The title of this video has a typo mistake.

[numericalmethodsguy]

Thanks. The title typo has been fixed.

[scholar4life]

You did a fantastic job at explaining and I now know how to integrate by using Gauss Quadrature. Keep doing what you are doing, its much appreciated.

[numericalmethodsguy]

Thanks for your comments. Keep watching and I learn from your feedback.

[atypicalcalifornian]

this stuff is cool!!