CMPSC/Math 451. April 15, 2015. Stiff systems of ODEs. Implicit vs explicit method. Wen Shen

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wenshenpsu

wenshenpsu

Күн бұрын

Wen Shen, Penn State University.
Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: • Book Promo: An Introdu...

Пікірлер: 15
@finalizelol
@finalizelol 4 жыл бұрын
Implicit Euler, backward differentiation formula, Jacobian... Made clear, thanks a million!
@ShenghuiYang
@ShenghuiYang 5 жыл бұрын
Thank you Prof. This video saved my life. Recently I needed to give an answer of choosing a right solver to a question about stiff nonlinear ode from Mathematica user forum and no textbook with me on business trip. Very clear explanation of the context.
@wenshenpsu
@wenshenpsu 5 жыл бұрын
Thanks for watching. I'm glad that it was useful for you.
@yangchaoyi4672
@yangchaoyi4672 4 жыл бұрын
really awesome explanation, thanks Professor Shen!
@imeneimene7220
@imeneimene7220 5 жыл бұрын
I would like to thank you ! it was Amazing . All the best
@kirstensamm4914
@kirstensamm4914 8 жыл бұрын
Amazing explanation. I go to University College London, and this was so helpful! Wish you were my lecturer.
@wenshenpsu
@wenshenpsu 8 жыл бұрын
+Kirsten Samm Thanks!
@jeandanielmukam3656
@jeandanielmukam3656 8 жыл бұрын
Thanks Prof. Very interesting lecture. Please Prof. I would to know if you have an example of stiff ordinary stochastic differential equation (or Stiff SPDE). Please can you provide us a video about that? wifth your facinating way of teaching. Best.
@francescosarnari7158
@francescosarnari7158 8 жыл бұрын
Hi Wen, thanks so much, this is a true example of a GREAT lecture! Listen, I have a question: do you have any video (or other resources) which would guide me through understanding of fully implicit multistep methods, such as the implicit Runge-Kutta (Or another one, still good for stiff ODEs)? Thank you so much in advance. Cheers, Francesco
@wenshenpsu
@wenshenpsu 8 жыл бұрын
+Francesco Sarnari Thanks for watching. I am glad that you like the video. Unfortunately I don't have such a video as you requested. Maybe in the future I will make one.
@SweRaider1993
@SweRaider1993 8 жыл бұрын
Thank you! This really clarified a lot in my book :3
@wenshenpsu
@wenshenpsu 8 жыл бұрын
+Jon 93 Thanks!
@ngendahayojeanpierre2699
@ngendahayojeanpierre2699 7 жыл бұрын
Thanks! for this video
@apoorvkrishan1447
@apoorvkrishan1447 6 жыл бұрын
Ma'am, How did you show Xn=(1-39h)^n+(1-h)^n; Yn=(1-39h)^n-(1-h)^n?
@cryora
@cryora 2 жыл бұрын
Solve for Xn+1 in terms of Xn and Yn+1 in terms of Yn and then use induction.
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