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Math Stuff | Charles's Numerical Analyis Blog

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Math Stuff | Charles's Numerical Analyis Blog | ceedeepee.wordpress.com Reviews

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Charles's Numerical Analyis Blog

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Newton’s Polynomial… Divided Difference Interpolation | Math Stuff

https://ceedeepee.wordpress.com/2009/12/08/newtons-polynomial-divided-difference-interpolation

Skip to search - Accesskey = s. Newton’s Polynomial… Divided Difference Interpolation. Posted in MTH 361 - Numerical Analysis. By cdrakep on December 8, 2009. Since I’m a sucker for punishment I decided to ignore all the fabulous code available on the internet, and the code provided in class, and attempt to write my own program for interpolating using Newton’s Divided Difference. Now with the red line being the actual function values, and the green boxes my interpolated polynomial’s values, for. A(k,j 1)...

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Root Finding | Math Stuff

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Skip to search - Accesskey = s. Root finding is a numerical method of finding the zeros of a function,. The Actual Method of N-Sectioning. Running the original bisection code on. I know that to. Significant digits I need. Sectioning the same domain to. The code finds that there is no zero on. One calculation) and then proceeds to find the zero on. Further sectioning, we have the sub-domains. Code runs, nothing on. One calculation), nothing on. Two calculations), hit on. Finding the zero in. It seems like...

3

September | 2009 | Math Stuff

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Skip to search - Accesskey = s. 8220;N”-section method of zeroing. Posted in MTH 361 - Numerical Analysis. By cdrakep on September 22, 2009. First week of class the assignment or challenge or something was to take the bisection code and alter it so it cuts a range into n sections. Here is my code. WordPress is bad at respecting the code tag. Oh, before running, the program will clear any variables in memory. Remove or comment out the first line to prevent this. Variables Outside of Main Loops. To round t...

4

Newton’s Method | Math Stuff

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Skip to search - Accesskey = s. Posted in MTH 361 - Numerical Analysis. By cdrakep on December 7, 2009. Newton’s method is probably the best known method for finding approximations to the roots of a function. Newton’s method can converge quickly, and will usually converge no matter what the initial guess is, but if the initial guess is close it will converge in fewer iterations. Say you have a real valued function. Is a root of the equation. Using the following algorithm. Start with a point. This method ...

5

Interpolation using Cubic Splines | Math Stuff

https://ceedeepee.wordpress.com/2009/12/09/interpolation-using-cubic-splines

Skip to search - Accesskey = s. Interpolation using Cubic Splines. Posted in MTH 361 - Numerical Analysis. By cdrakep on December 9, 2009. Cubic Splines are really cool. Given the same information as with Lagrange interpolation, i.e. Decreasing on the domain, like so,. And add some slopes, like. Then we can use a piecewise cubic polynomial to interpolate the points with the given slopes. Such an interpolation is made up of. Cubic polynomials joined together with the same slope at the points. A simple way...

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September | 2009 | C. Drake P.

https://cdrakep.wordpress.com/2009/09

Drake's Research Blag. Archive for September 2009. Leave a comment ». This week I did some testing of random numbers to try and establish some properties to look for when we get Entropy Keys. Write Up for this post. Links to the code. Chris’s Auto-Correlation Code. Random Xor Mix Code. Random Sets Xor’d, Non-Random Mix Code. All 1 set a Xor’d Random Mix Code. Alternating 1s and 0s for a, random b Mixed Randomly Code. Alternating 1s and 0s for a, random b, Mixed Non-Randomly Code. Leave a comment ».

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About | C. Drake P.

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Drake's Research Blag. Leave a comment ». September 23, 2009 at 12:27 pm. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). You are commenting using your WordPress.com account. ( Log Out. You are commenting using your Twitter account. ( Log Out. You are commenting using your Facebook account. ( Log Out. You are commenting using your Google account. ( Log Out. Notify me of new comments via email.

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Weekly Update SomethingSomething | C. Drake P.

https://cdrakep.wordpress.com/2009/09/30/weekly-update-somethingsomething

Drake's Research Blag. Leave a comment ». This week I did some testing of random numbers to try and establish some properties to look for when we get Entropy Keys. Write Up for this post. Links to the code. Chris’s Auto-Correlation Code. Random Xor Mix Code. Random Sets Xor’d, Non-Random Mix Code. All 1 set a Xor’d Random Mix Code. Alternating 1s and 0s for a, random b Mixed Randomly Code. Alternating 1s and 0s for a, random b, Mixed Non-Randomly Code. September 30, 2009 at 2:31 am.

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Weekly writeup for 10/27 | C. Drake P.

https://cdrakep.wordpress.com/2009/10/24/weekly-writeup-for-1027

Drake's Research Blag. Weekly writeup for 10/27. Leave a comment ». Well, waited on some results from all my terminal monkeying. Wrote a bunch of programs and scripts to manipulate data. Made a lot of graphs. A big thanks to the 20 cores over 5 computers that resulted in roughly 3 months of computation over the last two or three weeks. Most of the work over the last couple weeks relied heavily on Chris’s OpenMP Auto-Correlation code. Into this code was fed random data obtained wholly from Random.org.

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Weekly Update 09/20 | C. Drake P.

https://cdrakep.wordpress.com/2009/09/21/weekly-update

Drake's Research Blag. Leave a comment ». I started out the week playing with the predator prey function. I explored how to translate my existing programs into ‘auto-test’ programs. I finished the week training neural networks. Read more about it in the write up, if the link works. It doesn’t seem to for me. Weekly Write Up 9/20. When I go to media, and insert the PDF it comes out like this :. Weekly Write Up 9/20. September 21, 2009 at 4:10 am. Posted in CSUMS Weekly Updates. Leave a Reply Cancel reply.

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November | 2009 | C. Drake P.

https://cdrakep.wordpress.com/2009/11

Drake's Research Blag. Archive for November 2009. Leave a comment ». November 18, 2009 at 9:08 pm. Blog at WordPress.com. Create a free website or blog at WordPress.com.

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Poster Report. | C. Drake P.

https://cdrakep.wordpress.com/2009/12/13/poster-report

Drake's Research Blag. Leave a comment ». Tomorrow is poster day for CSUMS. Here is the PDF for my and Chris’s poster. Poster for Numerical Characterization of Entropy Data. The main focus of our project was verifying that the Entropy Key. So basically our conclusion, in statistical terms, yes the Entropy Key is random. It has not failed the null hypothesis test. That is about all that can be said given the nature of randomness. December 13, 2009 at 9:50 pm. Laquo; i win. Leave a Reply Cancel reply.

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October | 2009 | C. Drake P.

https://cdrakep.wordpress.com/2009/10

Drake's Research Blag. Archive for October 2009. Weekly writeup for 10/27. Leave a comment ». Well, waited on some results from all my terminal monkeying. Wrote a bunch of programs and scripts to manipulate data. Made a lot of graphs. A big thanks to the 20 cores over 5 computers that resulted in roughly 3 months of computation over the last two or three weeks. Most of the work over the last couple weeks relied heavily on Chris’s OpenMP Auto-Correlation code. For Your Consideration, Write Up the Third.

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Weekly Update 10/6 | C. Drake P.

https://cdrakep.wordpress.com/2009/10/07/weekly-update-106

Drake's Research Blag. This week I’ve mostly been going through the C code for the entropy keys and the code supplied by the NIST, as well as updating my M code to C to better understand their code and come up with methods of combining and automating several tasks to shoe certain properties of random numbers. As a result, I don’t have much in the way of code or results to show. October 7, 2009 at 12:33 am. Laquo; Weekly Update SomethingSomething. Weekly writeup for 10/27. Subscribe to comments with RSS.

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Math Stuff | Charles's Numerical Analyis Blog

Skip to search - Accesskey = s. Posted in MTH 361 - Numerical Analysis. By cdrakep on December 9, 2009. Quadrature as used in numerical analysis, is the method by which we integrate our interpolated functions thereby finding a numerical approximation to the integral through a polynomial instead of the potentially hard to find integral of the original or unknown function,. Basic quadrature is estimating the value of the integral based on a formula that looks like :. While these functions are easy, they&#8...

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