Gaussian Quadrature | Lecture 40 | Numerical Methods for Engineers

  Рет қаралды 84,098

Jeffrey Chasnov

Jeffrey Chasnov

3 жыл бұрын

An explanation of Gaussian quadrature. An example of how to calculate the weights and nodes for two-point Legendre-Gauss quadrature.
Join me on Coursera: imp.i384100.net/mathematics-f...
Lecture notes at www.math.ust.hk/~machas/numeri...
Paperback at www.amazon.com/Numerical-Meth...
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Пікірлер: 38
@Fallkhar
@Fallkhar 2 жыл бұрын
Thank you so much! This is such concise and clear explanation of what is going on under the hood
@pristonluc
@pristonluc 2 жыл бұрын
Thank you Professor, it was an excellent introductory lesson.
@sudandevkota7268
@sudandevkota7268 Жыл бұрын
Thank you dear professor. Lots of respect to you.
@ajayrathore4665
@ajayrathore4665 3 жыл бұрын
Really this the best lecture I ever face... You used very unique way of teaching... Wonderful
@lounesbenali4889
@lounesbenali4889 2 жыл бұрын
Finally I understand what's going on, a HUGE thanks !
@mohammadanadani7898
@mohammadanadani7898 2 жыл бұрын
Exactly what I needed! much appreciated
@SuheybBecerek
@SuheybBecerek 2 жыл бұрын
Thank you professor, this is really helpful explanation
@estebanrequena2694
@estebanrequena2694 3 жыл бұрын
Great video !
@juiteko8375
@juiteko8375 2 жыл бұрын
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?
@TheCsePower
@TheCsePower 3 жыл бұрын
Very good presentation
@abhimanusingh1284
@abhimanusingh1284 Жыл бұрын
Thanks a lot. Excellent presentation.
@ritobanbasak9204
@ritobanbasak9204 2 жыл бұрын
Very useful video. Thank you sir.
@shihanjanith1804
@shihanjanith1804 2 жыл бұрын
nicely explained.
@AJ-et3vf
@AJ-et3vf 2 жыл бұрын
Great video. Thank you
@erikasoares25
@erikasoares25 2 жыл бұрын
thank you so so much for helping me !!!!!!! ❤
@ijyoyo
@ijyoyo 2 жыл бұрын
So helpful! Thank you for putting it into words
@bhagyarajuakepogu
@bhagyarajuakepogu 5 ай бұрын
Nice explanation professor.
@Eloss69
@Eloss69 2 жыл бұрын
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 ?
@ProfJeffreyChasnov
@ProfJeffreyChasnov 2 жыл бұрын
Difficult question. Sometimes the weight function is already inside the integral you need, when you are using special functions to solve pde's for example. For simple integration tasks, I would just use the MATLAB integrate function and not worry about it.
@ANJA-mj1to
@ANJA-mj1to 7 ай бұрын
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.
@user-qh9ud3fy5t
@user-qh9ud3fy5t 2 ай бұрын
How do you get that the integral is found with W(x) by which method?
@shashankpandey8346
@shashankpandey8346 2 жыл бұрын
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
@eluz7903
@eluz7903 Жыл бұрын
So 3 points requires f(x) goes to polynomial 5, right?
@vwcanter
@vwcanter 2 жыл бұрын
This guy’s got mad flavor.
@eddiechen6389
@eddiechen6389 2 жыл бұрын
Hi professor Jeffrey, why do we assume that w1 = w2 = 1, and why do they have to be in symmetry?
@ProfJeffreyChasnov
@ProfJeffreyChasnov 2 жыл бұрын
I just made the algebra easier. You don't need to assume anything and just solve the equations.
@ktk.1201
@ktk.1201 8 ай бұрын
this board setup is making me trip xO
@beinspired3408
@beinspired3408 7 ай бұрын
where does w1=w2=1 ? please explain clearly
@lukunil
@lukunil 2 жыл бұрын
Thanks. You're a bit like a nice version of the teacher in whiplash 😅
@andrewnicholas2221
@andrewnicholas2221 Жыл бұрын
did he just write things backward from his pov
@freepointsgals609
@freepointsgals609 8 ай бұрын
I think he's right handed
@Oscar-gv1si
@Oscar-gv1si 8 ай бұрын
Yo I had the same question I think he his which is nuts
@blibilb
@blibilb 8 ай бұрын
the video is mirrored after recording
@davidkos5326
@davidkos5326 Жыл бұрын
kid named finger
@jacobblack2544
@jacobblack2544 Жыл бұрын
Why does prof looks like a character from sopranos
@jeanniez8981
@jeanniez8981 2 жыл бұрын
internet college KZfaq institute
@SushmaDevi-jg7il
@SushmaDevi-jg7il Жыл бұрын
😂👍
@greed5891
@greed5891 11 ай бұрын
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