Re: TWO questions to experts, (academics & pratical)

[Aiviet Nguyen <aiviet@cat.syr.edu>]

Hi Sonnet,
  You should be more specific in questioning. I think I perfectly answered
your questions. Remember that I can answer only want you asked and not 
what you wanted to ask.
  I have few hand-on working experience on PDE and ODE programming, and 
not at Pure Math Level at all. However, it is not smart to use the
most sophisticated when not neccessary.
  Be more specific and we will talk more or I will disappear from this 
topics.
 Cheers
 Aiviet

On Thu, 27 Mar 1997, Sonnet Nguyen wrote:

> Hi,
> On Wed, 26 Mar 1997, Aiviet Nguyen wrote:
> 
> > Sure, there are quite a lot in Fortran and in C. You can also write one 
> > by yourself if no additional requirements are needed.
> 
> 
> Your answer is as usually "too general".  Each person perfectly knows
> about that.  
> Of course, I can write (and I've written a lot), but my products are 
> useful and convenient only for my uses.  (For solving only special types
> of equations (for eg: fixed functional coefficients, etc.), and
> convergence of algorithm is not verified for variety of boundary
> conditions)   
> 
> Let consider for example the Navier-Stokes equation.  Problems of
> hidrodynamics and fluid dynamics (and many problems of NASA, BOEING) are
> reduced to solving this equation with different (arbitrary) boundary
> conditions. 
> But could you imagine yourself a patological boundary consisting of 
> 100.000 different elements? (For interesting applications, boundary
> consists of more than 1 million diff. elements).  Do you know how many
> institutes of fluid dynamics are in the world? 
> For what, if each student can write a program solving Navier-Stokes
> equation.   The problem is that program must be convenient (for
> engeeners) and algorithm of solving is tested and optimalized.  
> Not everything is "simple" and "beauty" as in Pure Math or in theoretical
> physics.
> 
> regards,
> SN
> 
> 
>