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About | Math Stuff
https://ceedeepee.wordpress.com/about
Skip to search - Accesskey = s. This is a blog. I will use it for classes at the University of Massachusetts Dartmouth. 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.
ceedeepee.wordpress.com
Fixed Point Iteration | Math Stuff
https://ceedeepee.wordpress.com/2009/12/06/fixed-point-iteration
Skip to search - Accesskey = s. Posted in MTH 361 - Numerical Analysis. By cdrakep on December 6, 2009. Fixed Point Iteration is a method of finding fixed points of iterated functions. A fixed point is defined as. Or, the value given is also that which is returned by the function. Graphically fixed point iteration looks something like this. Fixed Point Iteration on Cos(x .5). There is nothing that says all functions must have a fixed point. All functions. Is a constant and. When working on the. Be a sequ...
ceedeepee.wordpress.com
Polynomial Interpolation | Math Stuff
https://ceedeepee.wordpress.com/polynomial-interpolation
Skip to search - Accesskey = s. The functions we’re going to be interpolating are those which have a domain and range both in. And the graph must lie in. We’re going to be interpolating functions given several points, which will serve as an estimate for a function, say. A Lagrange interpolating polynomial of degree. Or less given at least. Decreasing on the domain,. Should be under the capital pi, wordpress latex. Is true. It’s easy to check this polynomial, no other. Alternativel use x=linspace(0,2*pi,N).
ceedeepee.wordpress.com
Quadrature | Math Stuff
https://ceedeepee.wordpress.com/2009/12/09/quadrature
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...
ceedeepee.wordpress.com
Root Finding | Math Stuff
https://ceedeepee.wordpress.com/root-finding
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...
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Larange Interpolation with/out Vandermonde Matrices | Math Stuff
https://ceedeepee.wordpress.com/2009/12/08/larange-interpolation-with-vandermonde-matrices
Skip to search - Accesskey = s. Larange Interpolation with/out Vandermonde Matrices. Posted in MTH 361 - Numerical Analysis. By cdrakep on December 8, 2009. The functions we’re going to be interpolating are those which have a domain and range both in. And the graph must lie in. We’re going to be interpolating functions given several points, which will serve as an estimate for a function, say. A Lagrange interpolating polynomial of degree. Or less given at least. Decreasing on the domain,. Cos(x) with Int...
ceedeepee.wordpress.com
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)...
ceedeepee.wordpress.com
Quadrature | Math Stuff
https://ceedeepee.wordpress.com/quadrature
Skip to search - Accesskey = s. 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 :. A more accurate numerical approximation to the integral is Simpson’s Rule. While these functions are easy, they...
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