TWODQD an adaptive routine for two-dimensional integration
Journal of Computational and Applied Mathematics - Numerical Quadrature
On the construction of good fully symmetric integration rules
SIAM Journal on Numerical Analysis
Algorithm 706: DCUTRI: an algorithm for adaptive cubature over a collection of triangles
ACM Transactions on Mathematical Software (TOMS)
Algorithm 720: An algorithm for adaptive cubature over a collection of 3-dimensional simplices
ACM Transactions on Mathematical Software (TOMS)
Conversion to Fortran 90: a case study
ACM Transactions on Mathematical Software (TOMS)
An adaptive algorithm for the approximate calculation of multiple integrals
ACM Transactions on Mathematical Software (TOMS)
Algorithm 698: DCUHRE: an adaptive multidemensional integration routine for a vector of integrals
ACM Transactions on Mathematical Software (TOMS)
Algorithm 764: Cubpack++: a C++ package for automatic two-dimensional cubature
ACM Transactions on Mathematical Software (TOMS)
Remark on algorithm 706: DCUTRI—an algorithm for adaptive cubature over a collection of triangles
ACM Transactions on Mathematical Software (TOMS)
Algorithm 584: CUBTRI: Automatic Cubature over a Triangle
ACM Transactions on Mathematical Software (TOMS)
An Algorithm for Automatic Integration Over a Triangle Using Nonlinear Extrapolation
ACM Transactions on Mathematical Software (TOMS)
Algorithm 612: TRIEX: Integration Over a TRIangle Using Nonlinear EXtrapolation
ACM Transactions on Mathematical Software (TOMS)
An Adaptive Numerical Integration Algorithm for Simplices
Proceedings of the The First Great Lakes Computer Science Conference on Computing in the 90's
An adaptive numerical cubature algorithm for simplices
ACM Transactions on Mathematical Software (TOMS)
An adaptive numerical cubature algorithm for simplices
ACM Transactions on Mathematical Software (TOMS)
Geometrically adaptive numerical integration
Proceedings of the 2008 ACM symposium on Solid and physical modeling
An Effective Two-Finger, Two-Stage Biometric Strategy for the US-VISIT Program
Operations Research
ACM Transactions on Mathematical Software (TOMS)
plrint5d: a five-dimensional automatic cubature routine designed for a multi-core platform
ICCSA'10 Proceedings of the 2010 international conference on Computational Science and Its Applications - Volume Part II
Error handling in Fortran 2003
ACM SIGPLAN Fortran Forum
Software for exact integration of polynomials over polyhedra
Computational Geometry: Theory and Applications
ACM Transactions on Mathematical Software (TOMS)
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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.