Integral of a 1-dimensional function using the Gauss-Kronrod methods
This class provide a non-adaptive integration procedure which
uses fixed Gauss-Kronrod abscissae to sample the integrand at
a maximum of 87 points. It is provided for fast integration
of smooth functions.
This function applies the Gauss-Kronrod 10-point, 21-point, 43-point
and 87-point integration rules in succession until an estimate of the
integral of f over (a, b) is achieved within the desired absolute and
relative error limits, epsabs and epsrel. The function returns the
final approximation, result, an estimate of the absolute error,
abserr and the number of function evaluations used, neval. The
Gauss-Kronrod rules are designed in such a way that each rule uses
all the results of its predecessors, in order to minimize the total
number of function evaluations.
Integral of a 1-dimensional function using the Gauss-Kronrod methods
This class provide a non-adaptive integration procedure which uses fixed Gauss-Kronrod abscissae to sample the integrand at a maximum of 87 points. It is provided for fast integration of smooth functions.
This function applies the Gauss-Kronrod 10-point, 21-point, 43-point and 87-point integration rules in succession until an estimate of the integral of f over (a, b) is achieved within the desired absolute and relative error limits, epsabs and epsrel. The function returns the final approximation, result, an estimate of the absolute error, abserr and the number of function evaluations used, neval. The Gauss-Kronrod rules are designed in such a way that each rule uses all the results of its predecessors, in order to minimize the total number of function evaluations.