science
Approximation for weighted residuals
Intro We ended up the article about weighted residuals pointing out three possible approaches to the problem. We expand them here.
Read Full Post | Make a Comment ( None so far )The Rayleigh-Ritz method
Intro This method starts straight from the weak form of a differential equation. It follows by taking the same functional space for the solution functions and the weight functions. This makes it similar to the straight Galerkin method – indeed it is often equivalent, as we will discuss in a future article.
Read Full Post | Make a Comment ( 1 so far )The weak form
Intro One can write a general differential equation as: An example, which we will often consider is ex. to model e.g. heat conduction with a space-dependent heat conduction coefficient and a heat production term . (Notice the “ex” when we are talking about a particular example.) This is pretty technical, so please stop reading here [...]
Read Full Post | Make a Comment ( None so far )The method of weighted residuals
Intro One can write a general differential equation as: An example, which we will often consider is ex. to model e.g. heat conduction with a space-dependent heat conduction coefficient and a heat production term . (Notice the “ex” when we are talking about a particular example.) This is pretty technical, so please stop reading here [...]
Read Full Post | Make a Comment ( None so far )wikipedia: reliable sources
Here is what, for many, is a weak point in wikipedia: the sources. What is accepted as “true”. Here is a list of claims that may have been challenged in wikipedia, or not. See how many you get right! About the katakana Japanese syllabary: in a manga, the speech of a foreign character or a [...]
Read Full Post | Make a Comment ( None so far )Quick LaTeX posters
Quick and dirty, I was going to write, but the output is quite nice, actually. My advice, in a nutshell: use the a0poster class. Then, modify the poster.tex file in Andrea’s site.
Read Full Post | Make a Comment ( 3 so far )Friedman’s green fantasia
A demolishing opinion about Thomas L. Friedman‘s Hot, Flat, and Crowded: (Why We Need a Green Revolution—and How It Can Renew America): All this gear is so intelligent, in fact, that “when the sun is shining brightly and the wind is howling” (i.e., when your house is generating solar and wind power), your utility turns [...]
Read Full Post | Make a Comment ( 1 so far )The Onion on Science
Just a list of The Onion articles about science that I find funny: Christian Right Lobbies To Overturn Second Law Of Thermodynamics. The second law of thermodynamics, a fundamental scientific principle stating that entropy increases over time as organized forms decay into greater states of randomness, has come under fire from conservative Christian groups, who [...]
Read Full Post | Make a Comment ( None so far )Get your units right with LaTeX
The LaTeX package SIunits (which seems to be a descendant from the units package that I once used) addresses one of the most nagging issues in physics and engineering: getting the units well typeset. While the source is a bit cumbersome, it is quite readable: $R=8.314$ \joule\per(\mole\usk\kelvin) There are prefixes, so that “\mega\ohm” is ok. [...]
Read Full Post | Make a Comment ( 6 so far )TED, and Steven Strogatz
This is a very interesting website: TED. A collection of interesting talks, all of them downloadable and in the public domain (CC license). There isn’t much on physics yet, and certainly not in my area. There is a very nice talk, though, by Steven Strogatz on synchronization. Strogatz is a remarkable speaker, I had the [...]
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