Thursday, June 23, 2011

The Maximum Entropy Method for Reconstructing Density Distriubtions

A summary of using the maximum entropy principle from information theory to reconstruct a PDF (or other distributions) given a finite number of moments. This is quite useful especially when using the method of moments in population balances or related stochastic transport processes. The document also includes some results from my code for reconstructing some bimodal and trimodal Gaussian distributions, beta, and log-normal distributions.

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Cite as:
Saad, T. "The Maximum Entropy Method for Reconstructing Density Distriubtions". Weblog entry from Please Make A Note.

Monday, April 11, 2011

Quadrature Methods for Numerical Integration

A review of Gaussian quadrature for numerical integration. Discusses Lagrange's interpolation and the theory of orthogonal polynomials.

Download PDF.

Cite as:
Saad, T. "Quadrature Methods for Numerical Integration". Weblog entry from Please Make A Note.

Saturday, April 2, 2011

Endnote Auto-formatting parentheses

I do not use EndNote. And most likely never will. But here's an annoyance that you may have encountered  while working on your word documents.

Sometimes, in your word document, if you write certain acronyms between parentheses, EndNote may think that this is a reference. To prevent this from happening, in EndNote, do the following:


and change the delimiters from parentheses to something else.

Cite as:
Saad, T. "Endnote Auto-formatting parentheses". Weblog entry from Please Make A Note.

Thursday, February 17, 2011