Talk:Pseudo-spectral method

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[edit] Proposed changes

I have a few issues with this article. I'm certainly prepared to do some editting, but I figured I'd post here first.

1.) The diagram: you appear to be getting significant aliasing error in your solution. Does the simulation continue to be stable? In my experience, with that kind of high-frequency oscillation, you're pretty darn close to getting NaN's in your solution.

2.) From this page, the mathematics behind the PS method is unclear. Something more than just taking about solving the Schroedinger equation in momentum space is necessary.

3.) Quantum scattering off an arbitrary potential is not the most transparent example I can think of to demonstrate this method, insofar as 80% of the article deals with quantum scattering rather than the PS method. I think it would be better to focus on the mechanics of the PS method, delete the current example in its entirety, and then use, say, an advective type equation like

\frac{du}{dt} = v \frac{du}{dx}

which doesn't really get into much in the way of nitty-gritty physics.

Any comments and such? If I don't hear back from anyone in the next couple days, I'll go ahead and make these changes.

J. Langton 21:24, 9 July 2006 (UTC)

I especially agree with points 2 and 3. An improved diagram would be nice too, of course. I encourage you to work on it! JJL 22:57, 9 July 2006 (UTC)
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