nwagner at mecha.uni-stuttgart.de
Wed Feb 23 12:50:02 CST 2005
On Wed, 23 Feb 2005 09:34:13 -0800
Stephen Walton <stephen.walton at csun.edu> wrote:
> Numerical derivatives are limited in accuracy by their
>very nature. I don't know very much about Pade
>computations, I'm afraid, But, if the code you need the
>derivative of is in C or Fortran, you might try one of
>the automatic differentation codes out there. The basic
>idea is that, since any computation on a real computer is
>composed of elementary operations with analytic
>derivatives, repeated automatic application of the chain
>rule results in a derivative which is accurate to machine
>precision. Of course, these codes will only produce a
>first or second derivative in my experience, not a sixth.
> Do you need sixth derivatives?
This depends on the order of the Taylor series expansion.
pade(an,8) is quite common in approximating the
Given Taylor series coefficients in an, return a Pade
the function as the ratio of two polynomials p / q
where the order of q is m.
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