Recursive Monotone Stable Quadrature

A quadrature (numerical integration) algorithm which has a number of desirable properties.

Explore with Wolfram|Alpha

More things to try:

-0.283882181415
div (x^3 y, y^3 z, z^3 x)
integrate sin^2(x) + 2 sin^4(2x) from 0 to pi

References

Favati, P.; Lotti, G.; and Romani, F. "Interpolary Integration Formulas for Optimal Composition." ACM Trans. Math. Software 17, 207-217, 1991.Favati, P.; Lotti, G.; and Romani, F. "Algorithm 691: Improving QUADPACK Automatic Integration Routines." ACM Trans. Math. Software 17, 218-232, 1991.

Referenced on Wolfram|Alpha

Recursive Monotone Stable Quadrature

Cite this as:

Weisstein, Eric W. "Recursive Monotone Stable Quadrature." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RecursiveMonotoneStableQuadrature.html

Recursive Monotone Stable Quadrature

Explore with Wolfram|Alpha

References

Referenced on Wolfram|Alpha

Cite this as:

Subject classifications