Re: [Maxima-discuss] linear circuit analysis example?

[Nicholas J. <jan...@as...>]

The stencil technique can be related to finite difference and finite
element nodal assembly. Each piece has a nodal transfer function, and
connects certain nodes. Assembling a global mass (capacitance & inductance)
matrix and nodal stiffness (resistance) matrix let's you build up an
arbitrary set of equations using a very well established set of algorithms.
You can get analytical solutions this way but they are rarely compact.

On Jan 22, 2018 4:46 PM, "Achim Gratz" <Str...@ne...> wrote:

Sidney Marshall writes:
> I'm still not sure what you are looking for. I have never heard of the
> expression "stamp". but it seems appropriate.

In some publications it's called a stencil.

In any case, I think the original publications to look for in relation
to the methods that the OP was likely referring to are from the 50s or
even earlier, before the advent of numeric computing.  There were quite
a few methods that allowed to manipulate circuits either in matrix form
or as graphs (which can be written out in matrix form if needed) to
arrive at something that was either easier to solve than the original or
would use a different set of circuit elements to ease actual
implementation.  The graph methods (for instance Mason graphs) generally do
a better job of preserving the topology of the original circuit if
that's what you're after.  The contemporary extension of these efforts
goes under the name "symbolic circuit analysis", although I think there
is a greater focus on closed-form expressions and less on circuit
manipulations these days.


Regards,
Achim.
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