CUBPACK aims to offer a collection of re-usable code for automatic n -dimensional ( n ≥ 1) numerical integration of functions over a collection of regions, i.e., quadrature and cubature. The current version allows this region to consist of a union of n -simplices and n -parellellepids. The framework of CUBPACK is described as well as its user interface. The functionality of several well known routines is embedded. New features include integration algorithms using the ϵ-algorithm for extrapolation for regions other than triangles and the implementation of a new type of subdivision for 3-cubes.

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Abstract.A method is given for construction of integration formulas for two-dimensional circularly symme*rical regions of arbitrary degree of exactness 2d-1 with fewer points than the Gauss-product formulas of the same degree.

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