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Non-Linear Schrödinger Equation

Once equivalence is demonstrated, we describe the equation and the variables within. I'll post the equation as it's written in Agrawal's book once I get the LaTex add-on on my computer (I've been having comp trouble all week). Once I get that on, I'll describe the variables and how we can manipulate the equation to demonstrate different physical properties. Organizing my results; reading some textbooks about non-linear optics; getting my presentation ready. So I got my program to work last night and was ...

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Non-Linear Schrödinger Equation | csums-mce.blogspot.com Reviews
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Once equivalence is demonstrated, we describe the equation and the variables within. I'll post the equation as it's written in Agrawal's book once I get the LaTex add-on on my computer (I've been having comp trouble all week). Once I get that on, I'll describe the variables and how we can manipulate the equation to demonstrate different physical properties. Organizing my results; reading some textbooks about non-linear optics; getting my presentation ready. So I got my program to work last night and was ...
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Non-Linear Schrödinger Equation | csums-mce.blogspot.com Reviews

https://csums-mce.blogspot.com

Once equivalence is demonstrated, we describe the equation and the variables within. I'll post the equation as it's written in Agrawal's book once I get the LaTex add-on on my computer (I've been having comp trouble all week). Once I get that on, I'll describe the variables and how we can manipulate the equation to demonstrate different physical properties. Organizing my results; reading some textbooks about non-linear optics; getting my presentation ready. So I got my program to work last night and was ...

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csums-mce.blogspot.com csums-mce.blogspot.com
1

Non-Linear Schrödinger Equation: Running Equations

http://www.csums-mce.blogspot.com/2008/06/running-equations.html

I would like to note, however, that some of the equations will generate complex answers. It graphs according to the real part, and I do not think it does any analysis of the unreal part. I think this is what caused the problem with ode45. I will redo some of my analysis of earlier equations to ensure that my answers are consistent. Subscribe to: Post Comments (Atom). Home on (the Numerical K) Range. Mutualism Between Clownfish and Sea Anemones. The First Sine of Madness. View my complete profile.

2

Non-Linear Schrödinger Equation: July 2008

http://www.csums-mce.blogspot.com/2008_07_01_archive.html

Once equivalence is demonstrated, we describe the equation and the variables within. I'll post the equation as it's written in Agrawal's book once I get the LaTex add-on on my computer (I've been having comp trouble all week). Once I get that on, I'll describe the variables and how we can manipulate the equation to demonstrate different physical properties. Subscribe to: Posts (Atom). Home on (the Numerical K) Range. Mutualism Between Clownfish and Sea Anemones. The First Sine of Madness.

3

Non-Linear Schrödinger Equation: Programming Trouble

http://www.csums-mce.blogspot.com/2008/06/programming-trouble.html

Fortunately, the program as is should be easy to convert to the 3-D case, which should be interesting (I don't know how I'd graph that, but then again, I have some time to think about it). I'm only worried that MatLab will be just finicky with the program and not want to do it. I'm going to see if I can resolve these problems tonight, then I'll do some more background research and applications. By the way, here's an interesting link about its applications. Subscribe to: Post Comments (Atom).

4

Non-Linear Schrödinger Equation: Program Now Works!

http://www.csums-mce.blogspot.com/2008/06/program-now-works.html

So I got my program to work last night and was doing some number crunching today along with some background research. Here are some interesting bifurcation diagrams I've made so far. This one (below) demonstrates when you have a particular set symmetrical equations. As I mess around with the parameters it does some of this (notice that the region in the lower left hand corner of the graph towards the origin). And this, where it would appear as if the region bulges outwards and forms a quarter of a circle.

5

Non-Linear Schrödinger Equation: Application

http://www.csums-mce.blogspot.com/2008/07/application.html

Once equivalence is demonstrated, we describe the equation and the variables within. I'll post the equation as it's written in Agrawal's book once I get the LaTex add-on on my computer (I've been having comp trouble all week). Once I get that on, I'll describe the variables and how we can manipulate the equation to demonstrate different physical properties. Subscribe to: Post Comments (Atom). Home on (the Numerical K) Range. Mutualism Between Clownfish and Sea Anemones. The First Sine of Madness.

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kassieresearch.blogspot.com kassieresearch.blogspot.com

CSUMS Research Project: 7/1

http://kassieresearch.blogspot.com/2008/07/71.html

Tuesday, July 1, 2008. Yesterday, I talked with Prof Lutzer about certain fractals lying in infinite dimensional space that I had been considering and attempting to compute the dimension of. Some of them are kind of interesting, but today, I realized that I made a big. So tomorrow, I'm going back to fix what I messed up the first time and trying to type things up on Tex. Also, I need to visit the Charles Center to make sure they got my honors request sheet, b/c they never sent me the confirm email. I am ...

kassieresearch.blogspot.com kassieresearch.blogspot.com

CSUMS Research Project: 6/25

http://kassieresearch.blogspot.com/2008/06/625.html

Wednesday, June 25, 2008. 2: I met with Prof Lutzer today. That was actually pretty helpful. He seems to understand what I'm talking about most of the time and he was helpful in talking about infinite dimensional spaces. Most of the stuff I had seen before, but it was still pretty helpful as a review. I'm meeting with him again on Monday (and he's coming to my presentation to "learn" he says- the pressure's on! It might be something, but I'm not sure. Subscribe to: Post Comments (Atom).

timeforbiomath.blogspot.com timeforbiomath.blogspot.com

Three Photosensitive Mice, See how they Reproduce

http://timeforbiomath.blogspot.com/2008/06/now-that-i-have-got-my-linear-model.html

Three Photosensitive Mice, See how they Reproduce. Tuesday, June 17, 2008. Now that I have got my linear model down, I have coupled my two populations (photo and non-photosensitive) together and created a basic nonlinear model. In this model all age classes are split into NP and P, and the Adult class is also split into male and female. A lot of new parameters arise from this, however some of these may collapse after I talk to Prof Heideman. Subscribe to: Post Comments (Atom). View my complete profile.

timeforbiomath.blogspot.com timeforbiomath.blogspot.com

Three Photosensitive Mice, See how they Reproduce

http://timeforbiomath.blogspot.com/2008/07/it-has-been-awhile-since-i-have-posted.html

Three Photosensitive Mice, See how they Reproduce. Monday, July 14, 2008. I am also reading about logistic models and using them to incorporate a density dependent death rate. Subscribe to: Post Comments (Atom). I am a student at W&M researching under the CSUMS and UBM program. I am studying reproduction rate strategies in white-footed mice. I am creating a nonlinear version of my 5 stage cl. It has been awhile since I have posted and quite a. View my complete profile. The First Sine of Madness.

timeforbiomath.blogspot.com timeforbiomath.blogspot.com

Three Photosensitive Mice, See how they Reproduce: July 2008

http://timeforbiomath.blogspot.com/2008_07_01_archive.html

Three Photosensitive Mice, See how they Reproduce. Wednesday, July 16, 2008. I am creating a nonlinear version of my 5 stage class model. I am also working on a toy model (1 dimensional) to test out different ways of representing density dependent death rates. I will be meeting with Heideman tomorrow so I will probably ask him more about parameters and make sure the changes I have made so far look alright. I will also be working on my abstract that is due Friday. Monday, July 14, 2008.

kassieresearch.blogspot.com kassieresearch.blogspot.com

CSUMS Research Project: 6/20

http://kassieresearch.blogspot.com/2008/06/620.html

Friday, June 20, 2008. 1: I've been working on Matlab today, and I think I fixed what was wrong from Wednesday, so I have this graph now:. An advantage normally) just to see if my local dimension is actually changing as I zoom in or if I'm just getting a different value because I have more points. But doing this still won't really verify anything since I'll just have relatively less points for black, but I still want to look at it. So, how accurate are these estimates? Is that if I scale all initial boxe...

kassieresearch.blogspot.com kassieresearch.blogspot.com

CSUMS Research Project: 6/20 (Part 2)

http://kassieresearch.blogspot.com/2008/06/620-part-2.html

Friday, June 20, 2008. So, I was able to find the local dimension around a point not equal to the fixed-point! Subscribe to: Post Comments (Atom). I am creating a nonlinear version of my 5 stage class model. I am also working on a toy model (1 dimensional) to test out different ways of representing de. So, I've been doing background research for the past week about applying this program. The first topic I'm looking into is optics, and the book I'm reading.

kassieresearch.blogspot.com kassieresearch.blogspot.com

CSUMS Research Project: June 2008

http://kassieresearch.blogspot.com/2008_06_01_archive.html

Wednesday, June 25, 2008. 2: I met with Prof Lutzer today. That was actually pretty helpful. He seems to understand what I'm talking about most of the time and he was helpful in talking about infinite dimensional spaces. Most of the stuff I had seen before, but it was still pretty helpful as a review. I'm meeting with him again on Monday (and he's coming to my presentation to "learn" he says- the pressure's on! It might be something, but I'm not sure. Tuesday, June 24, 2008. Monday, June 23, 2008. 3: So,...

timeforbiomath.blogspot.com timeforbiomath.blogspot.com

Three Photosensitive Mice, See how they Reproduce

http://timeforbiomath.blogspot.com/2008/07/i-am-creating-nonlinear-version-of-my-5.html

Three Photosensitive Mice, See how they Reproduce. Wednesday, July 16, 2008. I am creating a nonlinear version of my 5 stage class model. I am also working on a toy model (1 dimensional) to test out different ways of representing density dependent death rates. I will be meeting with Heideman tomorrow so I will probably ask him more about parameters and make sure the changes I have made so far look alright. I will also be working on my abstract that is due Friday. Subscribe to: Post Comments (Atom).

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Non-Linear Schrödinger Equation

Once equivalence is demonstrated, we describe the equation and the variables within. I'll post the equation as it's written in Agrawal's book once I get the LaTex add-on on my computer (I've been having comp trouble all week). Once I get that on, I'll describe the variables and how we can manipulate the equation to demonstrate different physical properties. Organizing my results; reading some textbooks about non-linear optics; getting my presentation ready. So I got my program to work last night and was ...

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