Procedures

Integrate a function tabulated at arbitrarily spaced abscissas using overlapping parabolas.

Integrate a real function of one variable over a finite interval using an adaptive 8-point Legendre-Gauss algorithm.

Numerically evaluate integral using adaptive Lobatto rule

1D globally adaptive integrator using Gauss-Kronrod quadrature, oscillating integrand

same as dqag but provides more information and control

1D globally adaptive integrator, infinite intervals

same as dqagi but provides more information and control

1D globally adaptive integrator, singularities or discontinuities

same as dqagp but provides more information and control

1D globally adaptive integrator using interval subdivision and extrapolation

same as dqags but provides more information and control

compute Cauchy principal value of f(x)/(x-c) over a finite interval

same as dqawc but provides more information and control

Fourier sine/cosine transform for user supplied interval a to infinity

same as dqawf but provides more information and control

1D integration of cos(omega*x)*f(x) or sin(omega*x)*f(x) over a finite interval, adaptive subdivision with extrapolation

same as dqawo but provides more information and control

1D integration of functions with powers and or logs over a finite interval

same as dqaws but provides more information and control

1D integral for Cauchy principal values using a 25 point quadrature rule

1D integral for sin/cos integrand using a 25 point quadrature rule

25-point clenshaw-curtis integration

chebyshev series expansion

estimate 1D integral on finite interval using a 15 point gauss-kronrod rule and give error estimate, non-automatic

estimate 1D integral on (semi)infinite interval using a 15 point gauss-kronrod quadrature rule, non-automatic

estimate 1D integral with special singular weight functions using a 15 point gauss-kronrod quadrature rule

estimate 1D integral on finite interval using a 21 point gauss-kronrod rule and give error estimate, non-automatic

estimate 1D integral on finite interval using a 31 point gauss-kronrod rule and give error estimate, non-automatic

estimate 1D integral on finite interval using a 41 point gauss-kronrod rule and give error estimate, non-automatic

estimate 1D integral on finite interval using a 51 point gauss-kronrod rule and give error estimate, non-automatic

estimate 1D integral on finite interval using a 61 point gauss-kronrod rule and give error estimate, non-automatic

1D integration of k-th degree Chebyshev polynomial times a function with singularities

Integrate a function using a 7-point adaptive Newton-Cotes quadrature rule.

1D non-adaptive automatic integrator

This subroutine attempts to calculate the integral of f(x) over the interval a to b with relative error not exceeding epsil.

Numerically evaluate integral using adaptive Simpson rule.