I found a profound paper written by Professor Lloyd N. Trefethen entitled Six Myths of Polynomial Interpolation and Quadrature. This paper is profound because it goes against a lot of the mainstream things that I have learned related to polynomials. After watching Professor Trefethen’s lectures, I found that he is right and knows what he is talking about. Read the paper. It is worth your time.
The paper is here if it is ever removed from the link above.
mythspaper
Transmission Line Method (TLM) or Transmission Line Matrix method is an elegant technique used to solve lossless or lossy wave equations. Here I am gathering together resources on the topic since I have found it is not well studied in the US.
Christopoulos, Christos. “The transmission-line modeling (TLM) method in electromagnetics.” Synthesis Lectures on Computational Electromagnetics 1.1 (2005): 1-132. ISBN: 1598290509
This book is focused on the point of view of electrical engineering.
De Cogan, Donard. Transmission line matrix (TLM) techniques for diffusion applications. Gordon and Breach Science Publishers, 1998. ISBN: 978-9056991296
De Cogan, Donard, William J. O’Connor, and Susan Pulko. Transmission line matrix (TLM) in computational mechanics. CRC Press, 2005. ISBN: 978-0415327176
This is the book I found easiest to read from a Mechanical Engineering perspective. The book starts by looking at the wave equation in 1D. It uses the ideas of boundary conditions to explain the scattering effect that occurs in TLM. It is an easy read for an engineer who has studied the wave equation before.
http://dandadec.com/what-is-tlm/ – This page is Donard De Cogan’s page. Donard’s website has lots of information on TLM such as conferences and papers.
I used an image for header that I wanted to cite the photographer with a link to his website. There isn’t a clear way to do this in WordPress tools. Therefore, I searched and found that I could edit the header.php file for the theme I was using to customize the header. The header.php file is located at ./wp-content/themes/myThemeName where myThemeName was twentytwelve. i.e. ./wp-content/themes/twentytwelve/header.php.
I added this piece of code to header.php before the ending </header> tag:
Image by <a href=”http://15belowphoto.com/”>Nick Wooley</a>
Like this:
This piece of code has the effect that the header for my WordPress website has a link to the photographer’s website like below.
The downside to modifying header.php is that it gets overwritten when updates to the theme are made. Ugh! Make sure to document the modifications to header.php. Backing it up is undesirable because security updates may change the header.php code and thus restoring an older version may introduce security issues.
See the results of modifying header.php here:
http://www.teamvardo.com/