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Re: Struggling with list element assignment in functions

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  • Subject: [mg45693] Re: Struggling with list element assignment in functions
  • From: mt at (Michael Tobis)
  • Date: Tue, 20 Jan 2004 05:08:03 -0500 (EST)
  • References: <bu8gs2$ak5$>
  • Sender: owner-wri-mathgroup at

Many thanks to yourself and to Mr. Lichtblau as well! You have given
me much to think about, and I shall investigate in detail.

My enthusiasm for Mathematica has redoubled both because of your
remarkably terse solution (for its own value) and your thoughtful
reply (not only for its didactic value which I have not yet had a
chance to digest in detail, but also because it shows that there are
members of the community available to help me build my skill)s.

For your information, I am hoping to build a rapid development tool
for finite difference development on regular grids. I would like to be
able to create rules to transform a set of Mathematica statements
representing 1) a partial differential equation 2) a time differencing
scheme 3) a space differencing scheme into two products: A) an
implementation and B) a linear stability analysis. Ideally there would
also be 4) input of various boundary conditions and C) output in the
form of reasonably efficient C code.

This is fairly ambitious, I understand. I have used Mathematica to
help me do algebra and plotting in the past, but it was some
considerable while ago. I realize that the sorts of things I am
proposing to do here require more sophistication in the underlying
structure of Mathematica than I have had to draw upon in the past.

If the readership of this group is aware of other efforts in this
direction I would be most obliged if they could point me to them.

Many thanks once again.
Michael Tobis
Geophysical Sciences
University of Chicago

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