"Bill Miller" <billmillerkt4ye@[EMAIL PROTECTED]
> wrote in message
news:I71hk.252814$SV4.247427@[EMAIL PROTECTED]
>
> "Jon Slaughter" <Jon_Slaughter@[EMAIL PROTECTED]
> wrote in message
> news:fKFgk.6997$vn7.1314@[EMAIL PROTECTED]
>> Is there any complete dynamics solver for gravity and EM? e.g., the
>> Jefimenko equations + gravity(is there a relativistic equivalent
similar
>> to Jefimenko's?).
>>
>> I'm thinking about implementing these buts its quite daunting... not
>> necessarily difficult I suppose but I know a brute force method isn't
>> going to cut it and implementing any optimization is whats going to be
>> hard.
>>
>> Anyways, I have a few ideas but I suppose it would be nice to see the
>> work of others. (Also if there are any good optimization's to those
>> equations for faster computation such as sparse grids or just anything
>> along those longs I'd appreciate some info)
>>
>> Thanks,
>> Jon
> Actually, Jon, Jefimenko has taken the next step and developed a
> comprehensive set of Gravitational Equations. A preliminary version is
in
> his "Causality..." book. A much-developed version is in "Gravitation and
> Cogravitation."
>
Seems very interesting but I don't have any clue what it is. Is it a
tensor/differential forms formulation of gravity(essentially GR)?
> I am not aware of any "solvers" that have been built using either set of
> equations.
>
Well, obviously any simulator of gravity using mass density would work too
as it can easily be modified to handle EM.
My plan of action was to use the continuity equations to evolve the mass
and
charge density but ran into issues which seems to be due to numerical
errors
causing loss of continuity(mass would apear in empty space after several
steps) and also because of the extreme time it takes to run any decent
sim.
e.g., if you have such a simiulator for gravitation using mass density
then
it can be easily converted to handle EM simply because the force only
needs
to be modified and the mass density equations copied to the charge. (I
only
did mine for gravity but it can easily be modified to handle charge with
little impact on speed)
If I could find, say, a numerical technique for computing volume integrals
very efficiently and with a high degree of accuracy then I might be able
to
actually do something useful with my program... unfortunately I think I'll
always run into the issue of continuity loss and I have no idea how to
solve
that(but maybe with a smaller step I can push it farther in the future).
Thanks,
Jon
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