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Article #5032Re: Continuos vs. discrete models Was: The size of electrons, ...
From: Cameron Randale Bass
Date: Mon, 16 Nov 1992 06:52
Date: Mon, 16 Nov 1992 06:52
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1883 bytes
In article <350@mtnmath.UUCP> paul@mtnmath.UUCP (Paul Budnik) writes:
>In article <1992Nov13.194334.20447@sun0.urz.uni-heidelberg.de>, gsmith@kalliope.iwr.uni-heidelberg.de (Gene W. Smith) writes:
>> In article <344@mtnmath.UUCP> paul@mtnmath.UUCP (Paul Budnik) writes:
>> >This is the question. Continuous models are the simplest to work with
>> >mathematically, but are the simplest possibility as models of physical
>> >reality? I do not think so.
>>
>> It isn't clear to me that any such distinction can be made.
>
>As one simple example consider the difference between a model based on
>finite difference equations and one based on partial differential
>equations.
Name a physical system in which the FDE is considered more fundamental
than the PDE? For most of us, we take the 'true' PDE and muck it
up, introducing loads of spurious conservation laws and higher
order terms, by deriving a finite difference formulation of it.
I'd be interested in a system in which we did the reverse.
dale bass
--
C. R. Bass crb7q@virginia.edu
Department of Mechanical,
Aerospace and Nuclear Engineering
University of Virginia (804) 924-7926
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<1992Nov16.065208.28725@murdoch.acc.Virginia.EDU>Path:
arc1-ca.pugleaf.net!sparky!uunet!zaphod.mps.ohio-state.edu!darwin.sura.net!uvaarpa!murdoch!kelvin.seas.Virginia.EDU!crb7qReferences:
<1992Nov7.214329.24552@galois.mit.edu> <1992Nov13.194334.20447@sun0.urz.uni-heidelberg.de> <350@mtnmath.UUCP>Show Full Headers
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Newsgroups: sci.physics Path: arc1-ca.pugleaf.net!sparky!uunet!zaphod.mps.ohio-state.edu!darwin.sura.net!uvaarpa!murdoch!kelvin.seas.Virginia.EDU!crb7q From: crb7q@kelvin.seas.Virginia.EDU (Cameron Randale Bass) Subject: Re: Continuos vs. discrete models Was: The size of electrons, ... Message-ID: <1992Nov16.065208.28725@murdoch.acc.Virginia.EDU> Sender: usenet@murdoch.acc.Virginia.EDU Organization: University of Virginia References: <1992Nov7.214329.24552@galois.mit.edu> <1992Nov13.194334.20447@sun0.urz.uni-heidelberg.de> <350@mtnmath.UUCP> Date: Mon, 16 Nov 1992 06:52:08 GMT Lines: 25