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References

Attribution

The original C library SMOLPACK was written by Knut Petras and is distributed via John Burkardt's page.

  • Smolyak, S., "Quadrature and Interpolation Formulas for Tensor Products of Certain Classes of Functions," Doklady Akademii Nauk SSSR, 4, 240–243, 1963.
  • Petras, K., "Fast Calculation of Coefficients in the Smolyak Algorithm," Numerical Algorithms, 26(2), 93–109, 2001.
  • Petras, K., "Smolyak Cubature of Given Polynomial Degree with Few Nodes for Increasing Dimension," Numerische Mathematik, 93(4), 729–753, 2003.
  • Novak, E., Ritter, K., "High Dimensional Integration of Smooth Functions over Cubes," Numerische Mathematik, 75(1), 79–97, 1996.
  • Novak, E., Ritter, K., "Simple Cubature Formulas with High Polynomial Exactness," Constructive Approximation, 15(4), 499–522, 1999.
  • Genz, A., "A Package for Testing Multiple Integration Subroutines," in Numerical Integration: Recent Developments, Software and Applications, edited by P. Keast and G. Fairweather, Reidel, 1987, pp. 337–340.

Related Packages: