I'm instructing PDEs recently. This series of videos gives me an idea of where the students might have difficulties with and allow me to lecture in a more understandable way. Thank you, Chris.
Hi Chris,I saw a few videos you uploaded and they really helped but I'm stuck at applying this discriminant technique to pdes defined in 3-dimensional and 4-dimensional regions...I might be doing it wrongly though...I would love it if you could classify these pdes1) Uxx + 13Uyy + 13Uzz + Uwz + 4Uxy + 24Uyz + 4Uzw = 02) (y²-z²)Uxx + (z²-x²)Uyy + (x²-y²)Uzz=f(x,y,z,Ux,Uy,Uz)And could you please upload a video on how to classify pdes according to the eigen values of the coefficient matrix Aij??....This is because, I came across some pdes that had different classifications from these two different methods.-discriminant-Eigenvalues
can you please explain why do we need to classify 2nd order PDEs. It doesnt help in solving them. So why do we need the classification. What do we gain from such classification, there must have been a reason like for example same type of pdes always give same physical meaning or something like that.
The man doesn't even have to move to do maths, amazing.
I'm instructing PDEs recently. This series of videos gives me an idea of where the students might have difficulties with and allow me to lecture in a more understandable way. Thank you, Chris.
Just two words: "Thank you"
Best video ive watched about the topic
I have learnt a lot. It is a nice presentation ever
Thank you so much!! You really helped me understand the topics. Will keep coming back to your explanations.
@ 4:26 is the similarity between the equations the only reason for calling PDEs elliptic, hyperbolic and parabolic??
Sir.. You are excellent..... Teaching is outstanding.... Where do you teach 😁
Thank you very much for this helpful and insightful video. Highly appreciate this.
This is awesome!
Is there a video to help understand how to classify pdes as linear, semi-linear, quasi-linear and non-linear?
You can take a look on Partial Differential Equations by Lawrence Evans
Thanks! Nice video, concise and easy to be understood.
Hi Chris,I saw a few videos you uploaded and they really helped but I'm stuck at applying this discriminant technique to pdes defined in 3-dimensional and 4-dimensional regions...I might be doing it wrongly though...I would love it if you could classify these pdes1) Uxx + 13Uyy + 13Uzz + Uwz + 4Uxy + 24Uyz + 4Uzw = 02) (y²-z²)Uxx + (z²-x²)Uyy + (x²-y²)Uzz=f(x,y,z,Ux,Uy,Uz)And could you please upload a video on how to classify pdes according to the eigen values of the coefficient matrix Aij??....This is because, I came across some pdes that had different classifications from these two different methods.-discriminant-Eigenvalues
Do you have any videos where you elaborate on why you use this classification?
Thank you, Chris. You might have explained the last portion little bit clearer, otherwise its awesome video.
I need thi book sir
very useful
can someone please describe the components of the equation please ?
thankyou sir. i understood it very wel. but i think the regions for y1/x are not propery mapped.
Why do you put the right hand side of eqn. 7 equal to 0? I mean, it is allowed to be any constant, isn't it?
can you please explain why do we need to classify 2nd order PDEs. It doesnt help in solving them. So why do we need the classification. What do we gain from such classification, there must have been a reason like for example same type of pdes always give same physical meaning or something like that.
Good
First!