Computation Using Derivative Arrays or Univariate Taylor Series
This set of subroutines performs computations using arrays of length N+1,
where each array contains the value of a function, f(t), and its first N
derivatives with respect to t, evaluated at some point,
t0
. Such an array can alternatively be regarded as a
scaled representation of the first N + 1 coefficients of the Taylor series
of f(t) expanded at t0
, since the coefficient of
(t-t0
)k
in such a Taylor series is
f(k)
(t)/k! evaluated at t0
.
This software is part of the MATH77/mathc90 collection here.