Cubature formulae for spheres, simplices and balls Academic Article uri icon


  • We obtain in explicit form the unique Gaussian cubature for balls (spheres) in n based on integrals over balls (spheres), centered at the origin, that integrates exactly all m-harmonic functions. In particular, this formula is exact for all polynomials in n variables of degree 2m-1. A Gaussian cubature for simplices is also constructed. Upper bounds for the errors for certain smoothness classes are derived. 2003 Elsevier B.V. All rights reserved.

published proceedings

  • Journal of Computational and Applied Mathematics

author list (cited authors)

  • Petrova, G.

citation count

  • 8

complete list of authors

  • Petrova, Guergana

publication date

  • January 2004