Introduction to Euler's Method

[BeastMaker]

This is the first time I feel like I understand exactly what I'm doing...why I'm doing it and I'm able to dissabmle complex problems b3cause of this brilliantly simplified tutorial....thank you.

[AhmedSamy-disj]

This is the only euler's tutorial I understood.
Thank you!

[thato-basetsanamasela]

My lecturer made this a self study unit and I've been busy with it for hours, almost gave up and went to sleep but after watching this video I finally understand what's going. Thank you so much🔥

[thachsanhfifai]

I am a Vietnamese, not really good at English but the way u convey ur knowledge is very fantastic and approachable, That helps me understand the lesson.

[v]

Doing my HW rn and prof did not explain it too well. Isn't fun grinding on a Monday night but actually understanding the material makes it so much better. Thank you.

[srushtisonavane]

I saw a lot of videos but didn't understand anything, but your video really helped me to clear my concept.
Thank you so much sir :)

[bradhayes]

For my Mechanical Engineering Masters thesis project I created an ICE (Internal Combustion Engine) simulation program. I ended up with 22 differential equations needing to be solved simultaneously using a numerical method. I started out using a fourth-order Runge Kutta numerical integration method. As my model got more and more complex, my program got slower and slower and eventually got to the point where it just wouldn't converge at all. Sometimes I'd run the program all night long and get up in the morning to find it eventually crashed. I'd get underflow and divide by zero error messages. I tried everything I could think of and it just wouldn't converge. I ended up switching over to a variable step size, variable order, Adam's predictor-corrector numerical integration method. The difference was incredible. I couldn't believe how fast it ran. I was using a 10 degree crank angle step size for the 4-stroke combustion cycle from a crank angle of 0 to 720 degrees.

[sharonsolana]

Thank you for the very helpful explanation!
I am writing a paper for my physics class on Euler's Method as it pertained to John Glenn's 3 orbits around the earth in 1962.
Euler's Method solved the problem of going from an elliptical orbit to a downward parabolic descent path and safe re-entry to earth.
Thank you Katherine Johnson -- brilliant African-American lady computer!

[mymygee]

the 7 dislikes are from lecturers that didnt do such a good job explaining

[leabradford]

Geez, finally I found someone who bothers to explain the actual process. A+++

[jananibaskar]

I gave a presentation on Euler method after seeing ur video...My faculty appreciated me for my clear explanation...Thank you Sir...

[loloferr]

Seriously this is exactly what i needed! I wish the books actually explained the concept instead of just giving you an equation to memorize.
Thanks!

[uriel]

THANK YOU! I'm taking a numerical equations course for university and with your informal rise over run explanation I understand the formula behind euler's method.

[rfischerification]

The explanation of why the step size is where it is was great. Thanks for the great content!

[salimamansoura]

May God reward you for all your efforts and all the valuable information that you provide us smoothly .

[rmw]

Once again a clear, succinct and simply excellent lecture with no obfuscating and complicated looking notation, thank you!

[anbumurugan]

"A" star explanation...understands how human mind works!! The advice to rewind showed it all.

[osamashawky]

This is more than amazing, you are second to non

[achannelfornoreason]

That is truly explained ! Thank you soo much. Keep doing lectures on this kind of problems .

[LoneWolf-zjit]

love how you introduced it, keep it up