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sicmutils.numerical.compile

This namespace compiles generic functions down into fast, native functions.

This namespace compiles generic functions down into fast, native functions.
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sicmutils.numerical.derivative

Different numerical derivative implementations.

Different numerical derivative implementations.
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sicmutils.numerical.interpolate.polynomial

This namespace contains a discussion of polynomial interpolation, and different methods for fitting a polynomial of degree N-1 to N points and evaluating that polynomial at some different x.

This namespace contains a discussion of polynomial interpolation, and different
methods for fitting a polynomial of degree N-1 to N points and evaluating that
polynomial at some different `x`.
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sicmutils.numerical.interpolate.rational

This namespace contains a discussion of rational function interpolation, and different methods for fitting rational functions N points and evaluating them at some value x.

This namespace contains a discussion of rational function interpolation, and
different methods for fitting rational functions N points and evaluating them
at some value `x`.
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sicmutils.numerical.interpolate.richardson

Richardson interpolation is a special case of polynomial interpolation; knowing the ratios of successive x coordinates in the point sequence allows a more efficient calculation.

Richardson interpolation is a special case of polynomial interpolation; knowing
the ratios of successive `x` coordinates in the point sequence allows a more
efficient calculation.
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sicmutils.numerical.quadrature.common

Implements utilities shared by all integrators, for example:

  • code to wrap a sequence of progressively better estimates in a common integrator interface
  • data structures implementing various integration intervals.
Implements utilities shared by all integrators, for example:

- code to wrap a sequence of progressively better estimates in a common `integrator` interface
- data structures implementing various integration intervals.
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sicmutils.numerical.quadrature.substitute

U Substitution and Variable Changes

This namespace provides implementations of functions that accept an integrator and perform a variable change to address some singularity, like an infinite endpoint, in the definite integral.

The strategies currently implemented were each described by Press, et al. in section 4.4 of 'Numerical Recipes'.

## U Substitution and Variable Changes

This namespace provides implementations of functions that accept an
`integrator` and perform a variable change to address some singularity, like
an infinite endpoint, in the definite integral.

The strategies currently implemented were each described by Press, et al. in
section 4.4 of ['Numerical
Recipes'](http://phys.uri.edu/nigh/NumRec/bookfpdf/f4-4.pdf).
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sicmutils.numerical.unimin.brent

This namespace contains an implementation of Brent's method for finding the minimum of a real-valued function.

This namespace contains an implementation of Brent's method for finding the
minimum of a real-valued function.
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