On Jan 3, 2009, at 2:22 AM, William Stein wrote:

>
> Hi,
>
> REDUCE is now open source: http://reduce-algebra.com/
> Is there anything in there worth using for Sage?
>

It looks like it has some nice facilities for differential equations,
both ODEs and PDEs. Not necessarily solutions, but for working with
them and investigating them.

For instance, for my purposes:

crack - CRACK is a package for solving overdetermined systems of  
partial or ordinary differential equations (PDEs, ODEs). Examples of  
programs which make use of CRACK for investigating ODEs (finding  
symmetries, first integrals, an equivalent Lagrangian or a  
"differential factorization") are included.

conlaw - This package presents three different approaches for the  
determination of conservation laws of differential equations. A paper  
describing these approaches is also available.

fide - This package uses computer algebra to automate the process of  
numerically solving systems of partial differential equations (PDES).  
For PDE solving, the finite difference method is applied. (Note: the  
documentation for this package is in text format.)


I thought of making something like fide, but many other things have  
got in the way.
The crack package seems to be quite interesting too.

I'm quite certain that there are a lot of useful things in there.

Cheers,

Tim.

---
Tim Lahey
PhD Candidate, Systems Design Engineering
University of Waterloo
http://www.linkedin.com/in/timlahey

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