Algorithm 764: Cubpack++: a C++ package for automatic two-dimensional cubature Software for the numerical approximation of double integrals over a variety of regions is described. The software was written in C++. Classes for a large number of shapes are provided. A global adaptive integration algorithm is used based on transformations and subdivisions of regions. (Source:

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 15 articles , 1 standard article )

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  1. Ventura, G.; Benvenuti, E.: Equivalent polynomials for quadrature in heaviside function enriched elements (2015)
  2. Sommariva, Alvise; Vianello, Marco: Gauss-Green cubature and moment computation over arbitrary geometries (2009)
  3. Chen, Chin-Yun: Bivariate product cubature using peano kernels for local error estimates (2008)
  4. Shampine, L.F.: MATLAB program for quadrature in 2D (2008)
  5. González, D.; Alfaro, I.; Cueto, E.; Doblaré, M.; Chinesta, F.: The $\alpha$-shape based natural element method in solid and fluid mechanics (2005)
  6. Sommariva, Alvise; Vianello, Marco; Zanovello, Renato: Adaptive bivariate Chebyshev approximation (2005)
  7. Cools, Ronald: Subdivision strategies in adaptive integration algorithms (2004)
  8. Cools, Ronald; Haegemans, Ann: Algorithm 824: CUBPACK: A package for automatic cubature; framework description (2003)
  9. Hill, Michael; Robinson, Ian: A comparison of strategies for the automatic computation of two-dimensional integrals over infinite domains (2003)
  10. Hubalek, Friedrich; Hwang, Hsien-Kuei; Lew, William; Mahmoud, Hosam; Prodinger, Helmut: A multivariate view of random bucket digital search trees (2002)
  11. Jansen, Maarten; Bultheel, Adhemar: Empirical Bayes approach to improve wavelet thresholding for image noise reduction (2001)
  12. Fliege, Jörg; Maier, Ulrike: The distribution of points on the sphere and corresponding cubature formulae (1999)
  13. Hill, Michael; Robinson, Ian: $d2lri$: A nonadaptive algorithm for two-dimensional cubature (1999)
  14. Cools, Ronald; Maerten, Bart: A hybrid subdivision strategy for adaptive integration routines (1998)
  15. Cools, Ronald; Laurie, Dirk; Pluym, Luc: Algorithm 764: Cubpack $++$: A $C++$ package for automatic two-dimensional cubature (1997)