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Project Submission#7

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AkshayaSrivastava wants to merge 37 commits intonumerical-mooc:masternumerical-mooc/assignment-bank-2015:masterfrom AkshayaSrivastava:masterAkshayaSrivastava/assignment-bank-2015:masterCopy head branch name to clipboard

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Commits on Dec 14, 2015

• Created Draft stuff. Can revert if things go completely haywire. Shouldn't be the case...

  AkshayaSrivastava

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  9dd1cc1

• Stated assertions in markdown text. Having trouble with images but not sure if it's an issue with markdown syntax or the web address. Will investigate on personal machine, but isn't strictly necess…

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  AkshayaSrivastava

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• Finished Derivation and Voltage boundary and Initial Condition discussion. Trying out new method to source information.

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  c0085ec

• Added more equations and used them to avoid having to resolve the current wave equation. Added a dig deeper segment, to keep scope of project in check.

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  00dda32

• Added central space discretization scheme. working on time.

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  f7a4c82

• finished central time discretization. Deriving the descritization and simplyfying

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• finished descritization. Need to add in the 2nd order Neumann condition and then the theory will be done and coding can begin!

  AkshayaSrivastava

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  df6217d

• Finished Derivation, with simplification into final form. Fixed image issue, and figured out how to create reference links and comment out the references in the Markdown Block. May list references …

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  53d67d1

Commits on Dec 15, 2015

• Tried out numericalmoocstyle.css, but that makes equation numbering run together. No longer trying that. also, wrote code for initial signal generation function, and tested to make sure it's runnin…

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  AkshayaSrivastava

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  8b8cdfd

• Created Solver function. Looks ok. Created another cell without the RHB/LHB params. Don't think I can ignore them...Might have something to do with the initial condition i'm looking at. Worst Case …

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  AkshayaSrivastava

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  47d4ad7

• tried norhb/lhb. going to have to use equation 24.

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  46bc838

• got the wave, it really was because i was doing a first order approximation throughout. Will keep the previous versions of the code in here and add text to explain what's going on and why it isn't …

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  AkshayaSrivastava

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  6fc817c

• Cleaned up code to follow logical progression of imports, define parameters, define functions, invoke functions, plot. All code cells will follow this progression to help keep scope of variables an…

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  AkshayaSrivastava

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  ea6b2ca

• Added in some background to the Telegrapher's Equations. Also added text discussing first order and the traps you can fall into if you are not careful. Called out references explicitely in the end …

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  AkshayaSrivastava

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  2dddbf8

• Did some more analysis. Had a discussion of initial boundary conditions and timestep size. Have to do a CFL analysis now. Leaving the current and resistivity as a Dig Deeper Exercise for now.

  AkshayaSrivastava

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  df90fe6

• trying to apply CFL condition. whenever I do though, REsults no longer exist. May need to leave that as a Dig Deeper exercise...

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  0af84b1

• Was able to implement the stability conditions. I wasn't passing the boundary conditions to the solver, which lead to strang boundary conditions past the initial values. Switching to Jupyter Hub to…

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  AkshayaSrivastava

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• Everything is working, and all results are reasonable. Going to create a final version that doesn't take so long to run, and uses cells better.

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  1c9787c

• Created a final version with code split up and reused. Reduces length of project document.

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  ac3904f

• Final project is finally completed!

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  eb6646f

Commits on Dec 23, 2015

• Addressed first 4 bullet points from feedback. I think I did the creative commons stuf correctly as well, following the samples on the course materials.

  AkshayaSrivastava

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Commits on Dec 24, 2015

• Continued working on Final project based on feedback. Realized that about half of the document (discussion of first order) adds more confusion than clarity. The purpose of that section was to show …

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  AkshayaSrivastava

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  494d391

• Added imports and took care of \left and \right for equations 21,22,23,24,29,30,31,32

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  bc893d9

• began derivation section of the exact results. once those results are in place, we can use sympy to plot them and that will be our exact solutions with which to compare the numerical solutions.

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  d1c37c5

• fixed imports and added version output for debugging. also finished theoretical calculations in latex and created equation 5 through sympy.

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  79d418c

• Cleaned up main folder by moving files into 'Older_Versions' folder.

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  1d6e61b

• added boundary conditions application to exact solution. working on initial conditions now. also realized that sympy can only do first order pdes. moved code for sympy solution into last cell in ca…

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  c5851f4

Commits on Dec 25, 2015

• got exact solution in python. working on using them to find exact solution for voltage and then plot.

  AkshayaSrivastava

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  b764a0d

• finished derivation in both sympy and latex. have the same solution for both, so we can alway sturn this into a function to plot against our numerical solution.

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  0f19e1f

• added plotting method. beginning to start actual numerical solution code.

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  5ca6a7d

• Initialized solution container and other variables. Discussed logic on code design. Next step is to set up the loop.

  AkshayaSrivastava

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  5fab294

• finished loop. Solution is going into infinity and then NaNs. I have debugging code in there for now, which will be commented out and can be used again to see variables change as the loop runs.

  AkshayaSrivastava

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  ad9e1f5

• implemented CFL condition. Got a plot, need to compare to plot from sympy.

  AkshayaSrivastava

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  1ab931f

Commits on Dec 26, 2015

• correctly implemented CFL condition. Getting similar results. Will work on conclusion and source to CFL condition derivation. Need to clean up code for debugging as well.

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  2a74a4d

• finished conclusions and added dig deeper section. Also cleaned up code. Will run once more to make sure everything is good and proofread.

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  df1a171

• removed old files from root Final Project Folder. also finished proofreading. Figuring out how to avoid runtime errors now, like the overflows and sesssion/line number not unique in database.

  AkshayaSrivastava

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  a43e695

• using float128 removed the overflow errors. I think the only time the session/line number not unique errors occur is when you run the same cell twice without interuppting the kernel first. I did th…

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