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MathGroup Archive 1997

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Re: plasma simulation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg6411] Re: plasma simulation
  • From: andrei at atomic2.phys.nd.edu (Andrei Derevianko)
  • Date: Tue, 18 Mar 1997 22:16:17 -0500 (EST)
  • Organization: University of Notre Dame
  • Sender: owner-wri-mathgroup at wolfram.com

Just a couple of words about mmka   vs. regular language (C,Fortran) versions.
1. Mmka could be used to try to find analytical solutions to your
   problem. 
2. Suppose the general  solution does not exist, then you have to do it
    numerically.
    1. Mmka will be slower (way to slower) to do complicated numerical
        calculations vs regular language, it might be just unbearable to use 
        mmka. ( the invaluable strength of mmka _is_ in symbolic computations)
    2.  I am sure there are some effective algorithms for your problem.
        The Mmka  will probably use something more general  => loss of         
        efficiency. If you decide to implement the faster algorithms, then
        there is no advantage in your time and debuging spent with Mmka
        vs regular language. (I actually think that  the use of Mmka 
        structures is more cumbersome for debuging ).  
   3. If you go numerical with mmka, you'd better use CompiledFunctions.
3. The mmka is a great tool for analisys of the data obtained. 

Sorry, nothing specific for your problem,
        Andrei. 


In article <5gahd3$g4h at smc.vnet.net>, takaha2k at dj.kit.ac.jp (Kazuo Takahashi) 
wrote:
> Does anyone use Mathematica for Plasma Simulations ?
>
> Plasma Simulation needs analysis of Boltzmann's equation, which has very
>complicated 
>differential equations.
>
> It's hard to solve Boltzmann's equation numerically on computers using
>programming language.
>So I want easy way to solve it. I wonder that Mathematica can do it.
>
> Please tell me. 
> Is it possible to execute plasma simulations on Mathematica ?
************************************************************************
>
>


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