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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 0741.65013
Cools, Ronald; Haegemans, Ann
1992
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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
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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
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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