## An Adaptive Numerical Cubature Algorithm for Simplices an Adaptive Numerical Cubature Algorithm for Simplices an Adaptive Numerical Cubature Algorithm for Simplices

- Ronald CoolsReport
- 2010

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@article{Berntsen1993Algorithm7A, title={Algorithm 720: An algorithm for adaptive cubature over a collection of 3-dimensional simplices}, author={Jarle Berntsen and Ronald Cools and Terje O. Espelid}, journal={ACM Trans. Math. Softw.}, year={1993}, volume={19}, pages={320-332} }

- Published 1993 in ACM Trans. Math. Softw.
DOI:10.1145/155743.155785

An adaptive algorithm for computing an approximation to the integral of each element in a vector of functions over a 3-dimensional region covered by simplices is presented. The algorithm is encoded in FORTRAN 77.
Locally, a cubature formula of degree 8 with 43 points is used to approximate an integral. The local error estimate is based on the same evaluation points. The error estimation procedure tries to decide whether the approximation for each function has asymptotic behavior, and different… CONTINUE READING

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