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Re: NestList

• To: mathgroup at smc.vnet.net
• Subject: [mg61459] Re: NestList
• From: ggroup at sarj.ca
• Date: Wed, 19 Oct 2005 02:17:16 -0400 (EDT)
• References: <dj264l$b6h$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Tony Harker wrote:

> The particular application I have in mind is a simple finite difference
> solution of the wave equation, where I might want to use NestList rather
> than Nest so that I can animate the results. If the simulation involves two
> spatial dimensions, storing duplicate copies of the information is a
> significant problem. In fact in my application it's better to collect the
> animation frames at rather lower frequency than they are calculated, to
> get a reasonable compromise between accuracy and visual impact, so I
> tend not to use NestList, but might this extension be useful in other
> areas. Or have I just missed a clever trick?

If you have an iterator variable (or variables), one easy way is to
create plots every n'th calculation is to wrap your plot and/or storage
commands in an if statement.  The condition to use would be something
along the lines of: Mod[(iterator), n]==0.  I'm not entirely clear how
you're using NestList in your application, but setting up dummy
iterators shouldn't be too hard.