Gaussian Quadrature | Lecture 40 | Numerical Methods for Engineers

An explanation of Gaussian quadrature. An example of how to calculate the weights and nodes for two-point Legendre-Gauss quadrature.

[pristonluc]

Thank you Professor, it was an excellent introductory lesson.

[ajayrathore]

Really this the best lecture I ever face... You used very unique way of teaching... Wonderful

[Fallkhar]

Thank you so much! This is such concise and clear explanation of what is going on under the hood

[sudandevkota]

Thank you dear professor. Lots of respect to you.

[lounesbenali]

Finally I understand what's going on, a HUGE thanks !

[juiteko]

Q: Do we have a numerical approach for integrals involving generalized functions like Green's or Dirac delta?
can orthogonal polynomials take the form of generalized function?

[eddiechen]

Hi professor Jeffrey, why do we assume that w1 = w2 = 1, and why do they have to be in symmetry?

[ANJA-mjto]

Predicting instantaneous hourly and integrated daily direct and diffuse solar flux we can use Gaussian quadrature form. Valuable topic where we can see how to imply fast Gaussian quadrature based estimate for water vapor pathlenghts. So we can give hydrostatic equilibrium form of Gaussian quadrature which will represent the atmospheric density.

[Eloss]

This serie of videos is enormously helpful, many thanks.
Q: How does one choose the right formula to integrate a discrete function ? (In the video there are four "flavors" but we can find as many weight function as we want !)
What kind of information on the function to be integrated should we have in order to perform such a choice ?

[mohammadanadani]

Exactly what I needed! much appreciated

[ShulamitMorjossef]

How do you get that the integral is found with W(x) by which method?

[SuheybBecerek]

Thank you professor, this is really helpful explanation

[ijyoyo]

So helpful! Thank you for putting it into words

[eluz]

So 3 points requires f(x) goes to polynomial 5, right?

[andrewnicholas]

did he just write things backward from his pov

[shashankpandey]

I think if you wore a black gloves with coloured finger tips, then we would still get it when you point on something or put your hand on some part

[lukunil]

Thanks. You're a bit like a nice version of the teacher in whiplash 😅

[beinspired]

where does w1=w2=1 ? please explain clearly

[jacobblack]

Why does prof looks like a character from sopranos