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The Dirichlet Problem

Originally posted by: jman19
Originally posted by: Chaotic42
Link

What are your thoughts?
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I think that this was a PITA when I took PDE 😛
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Really, PDE? Well I guess that means I'll be encountering it in spring semester...joy. I saw a little bit of this thing in an intro to complex analysis book I was reading, but they more talked about it than did stuff w/it (it is an intro book after all).
 
eLiu. most PDE's can't be solved analytically. There ones that can usually aren't that complicated, it's just a matter of knowing which "trick" to use to transform them to some ODE-like form.

Chaotic, what's your question exactly?
 
Originally posted by: RaynorWolfcastle
eLiu. most PDE's can't be solved analytically. There ones that can usually aren't that complicated, it's just a matter of knowing which "trick" to use to transform them to some ODE-like form.

Chaotic, what's your question exactly?
Click to expand...

Well the complex analysis book didn't talk about the dirchlet problem much b/c the prerequisite for the class (where the book came from--belonged to one of my HS teachers) was a difeq course on ODEs (2nd order linear homogenous, eigen-stuff, matrix solutions, power series, etc...the basics).

But I take it that an even smaller # of PDEs can be solved than the already tiny portion of ODEs? lol. Sounds like I'll really be getting my kicks and giggles in that class. If that's the case, I imagine that the PDE course will be more conceptual than some of the "solve this" classes I've had. But seriously, I do find math to be a fascinating subject, so I'm sure PDE will be interesting.

But first...Real Analysis this fall...supposed to be a killer at my school.
 
Originally posted by: eLiu
Originally posted by: RaynorWolfcastle
eLiu. most PDE's can't be solved analytically. There ones that can usually aren't that complicated, it's just a matter of knowing which "trick" to use to transform them to some ODE-like form.

Chaotic, what's your question exactly?
Click to expand...

Well the complex analysis book didn't talk about the dirchlet problem much b/c the prerequisite for the class (where the book came from--belonged to one of my HS teachers) was a difeq course on ODEs (2nd order linear homogenous, eigen-stuff, matrix solutions, power series, etc...the basics).

But I take it that an even smaller # of PDEs can be solved than the already tiny portion of ODEs? lol. Sounds like I'll really be getting my kicks and giggles in that class. If that's the case, I imagine that the PDE course will be more conceptual than some of the "solve this" classes I've had. But seriously, I do find math to be a fascinating subject, so I'm sure PDE will be interesting.

But first...Real Analysis this fall...supposed to be a killer at my school.
Click to expand...
I'm an engineering major, so I don't really care whether if my solution is analytical or numerical, as long as it's accurate enough. You seem to be a math major, so I'll let you torture yourself with the analytical solutions. 😛
 
Originally posted by: RaynorWolfcastle
Originally posted by: eLiu
Originally posted by: RaynorWolfcastle
eLiu. most PDE's can't be solved analytically. There ones that can usually aren't that complicated, it's just a matter of knowing which "trick" to use to transform them to some ODE-like form.

Chaotic, what's your question exactly?
Click to expand...

Well the complex analysis book didn't talk about the dirchlet problem much b/c the prerequisite for the class (where the book came from--belonged to one of my HS teachers) was a difeq course on ODEs (2nd order linear homogenous, eigen-stuff, matrix solutions, power series, etc...the basics).

But I take it that an even smaller # of PDEs can be solved than the already tiny portion of ODEs? lol. Sounds like I'll really be getting my kicks and giggles in that class. If that's the case, I imagine that the PDE course will be more conceptual than some of the "solve this" classes I've had. But seriously, I do find math to be a fascinating subject, so I'm sure PDE will be interesting.

But first...Real Analysis this fall...supposed to be a killer at my school.
Click to expand...
I'm an engineering major, so I don't really care whether if my solution is analytical or numerical, as long as it's accurate enough. You seem to be a math major, so I'll let you torture yourself with the analytical solutions. 😛
Click to expand...

Why thank you 😛 Though I actually plan on doubling...aerospace engineering (maybe physics if I don't like it) and math. The best (or worst, depending on your perspective) of both worlds.
 
Originally posted by: RaynorWolfcastle
eLiu. most PDE's can't be solved analytically. There ones that can usually aren't that complicated, it's just a matter of knowing which "trick" to use to transform them to some ODE-like form.

Chaotic, what's your question exactly?
Click to expand...

I don't have one. I'm just trying to get a discussion going. I find that's a good way to learn, by watching people discuss things.

My mathematical ability is nowhere near high enough for me to ask a question about that and understand the answer.

I saw it in a post-grad course listing for an MS in mathematics. I'm going for a math degree, and I thought it would be interesting to have a discussion about that.
 
Originally posted by: Chaotic42
Originally posted by: RaynorWolfcastle
eLiu. most PDE's can't be solved analytically. There ones that can usually aren't that complicated, it's just a matter of knowing which "trick" to use to transform them to some ODE-like form.

Chaotic, what's your question exactly?
Click to expand...

I don't have one. I'm just trying to get a discussion going. I find that's a good way to learn, by watching people discuss things.

My mathematical ability is nowhere near high enough for me to ask a question about that and understand the answer.

I saw it in a post-grad course listing for an MS in mathematics. I'm going for a math degree, and I thought it would be interesting to have a discussion about that.
Click to expand...

You might try Highly Technical...methinks people who would know more about this subject reside there. However, it would also be beneficial to pose a particular question or step down to a topic in your range of knowledge, as from what I can tell, there's not much uh, debate on this question. It's not like that thread about String Theory or 0.9999[r] ?= 1, where there's a good deal of controversy for discussion.
 
Originally posted by: Chaotic42
Originally posted by: RaynorWolfcastle
eLiu. most PDE's can't be solved analytically. There ones that can usually aren't that complicated, it's just a matter of knowing which "trick" to use to transform them to some ODE-like form.

Chaotic, what's your question exactly?
Click to expand...

I don't have one. I'm just trying to get a discussion going. I find that's a good way to learn, by watching people discuss things.

My mathematical ability is nowhere near high enough for me to ask a question about that and understand the answer.

I saw it in a post-grad course listing for an MS in mathematics. I'm going for a math degree, and I thought it would be interesting to have a discussion about that.
Click to expand...

Hopefully not a stupid question (sorry if you take offence) - do you know what the problem is even trying to say?
 
OMG... PDE = .. ? Differential Eq?

Thank god this is post grad, because I would shat my pants if I saw this on my Calc III or IV classes...
Engineering major here 😉
 
Originally posted by: simms
OMG... PDE = .. ? Differential Eq?

Thank god this is post grad, because I would shat my pants if I saw this on my Calc III or IV classes...
Engineering major here 😉
Click to expand...

You an engineer and you think you won't have to deal with difeq?

muhahaha . . . .
 
Originally posted by: Chu
Originally posted by: simms
OMG... PDE = .. ? Differential Eq?

Thank god this is post grad, because I would shat my pants if I saw this on my Calc III or IV classes...
Engineering major here 😉
Click to expand...

You an engineer and you think you won't have to deal with difeq?

muhahaha . . . .
Click to expand...

If you're a Electrical Engineer studying device physics... you're DOOMED!!!!!
 
Originally posted by: eLiu
You might try Highly Technical...methinks people who would know more about this subject reside there. However, it would also be beneficial to pose a particular question or step down to a topic in your range of knowledge, as from what I can tell, there's not much uh, debate on this question. It's not like that thread about String Theory or 0.9999[r] ?= 1, where there's a good deal of controversy for discussion.
Click to expand...

Hmmm....

Well, I was kind of hoping it would start a general math discussion, plus I was scoping out who know what this is.

These are the people I should trust when I ask a math question.
 
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