CUBPACK swMATH ID: 175 Software Authors: Cools, Ronald; Haegemans, Ann Description: CUBPACK aims to offer a collection of re-usable code for automatic n-dimensional (n greater than or equal to 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 epsilon-algorithm for extrapolation for regions other than triangles and the implementation of a new type of subdivision for 3-cubes. Homepage: http://nines.cs.kuleuven.be/software/CUBPACK/ Keywords: CUBPACK; numerical multidimensional integration; singular and discontinuous integrands; efficiency Related Software: Cubpack++; Matlab; adsimp; QUADPACK; TESTPACK; TRIEX; coteglob; CHEBINT; Octave; r2d2lri; DECUHR; Chebfun; Algorithm 720; CUBTRI; quadva; Algorithm 145; quadgk; OPQ; TEST_INT; AMGKQ Cited in: 30 Publications Further Publications: http://nines.cs.kuleuven.be/research/publications/ Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year CUBPACK: Progress report. Zbl 0741.65013Cools, Ronald; Haegemans, Ann 1992 all top 5 Cited by 48 Authors 9 Cools, Ronald 4 Huybrechs, Daan 3 Benvenuti, Elena 2 Haegemans, Ann 2 Ponara, Nicola 2 Tralli, Antonio 2 Vandewalle, Stefan G. 2 Ventura, Giulio 1 Adler, Stephen L. 1 Baldoni-Silva, Maria Welleda 1 Barucq, Hélène 1 Baveja, Manas 1 Bendali, Abderrahmane 1 Berline, Nicole 1 Calabró, Francesco 1 Carissimo, C. 1 De Loera, Jesús A. 1 Di Fazio, E. 1 Eldray, A. A. M. O. 1 Espelid, Terje O. 1 Fabrizi, C. 1 Fares, M’Barek 1 Farrell, Patrick E. 1 Genz, Alan C. 1 Gerges, J. G. S. 1 Goćwin, Maciej 1 Hill, Michael 1 Johnson, Robert W. 1 Köppe, Matthias 1 Laurie, Dirk P. 1 Li, Tiancheng 1 Maddison, James R. 1 Mattesi, Vanessa 1 Nuyens, Dirk 1 Olver, Sheehan Shakiban 1 Palazzo, Sergio 1 Pandis, Vassilis 1 Pluym, Luc 1 Poppe, Koen 1 Santin, Gabriele 1 Sommariva, Alvise 1 Tordeux, Sébastien 1 Vergne, Michèle 1 Vianello, Marco 1 Wassef, J. F. F. T. 1 Waterhouse, Benjamin J. 1 Wein, Lawrence M. 1 Zhang, Qinghai all top 5 Cited in 15 Serials 8 ACM Transactions on Mathematical Software 3 Computer Methods in Applied Mechanics and Engineering 2 Journal of Computational and Applied Mathematics 2 Numerical Algorithms 1 Journal of Computational Physics 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Operations Research 1 SIAM Journal on Numerical Analysis 1 Computational Mechanics 1 SIAM Journal on Scientific Computing 1 Engineering Analysis with Boundary Elements 1 Foundations of Computational Mathematics all top 5 Cited in 10 Fields 25 Numerical analysis (65-XX) 14 Approximations and expansions (41-XX) 2 Partial differential equations (35-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) Citations by Year