Cubature formulae for spheres, simplices and balls Academic Article

abstract

• 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.

authors

• Petrova, Guergana

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

publisher

• Elsevier  Publisher

published in

• Journal of Computational and Applied Mathematics  Journal

Digital Object Identifier (DOI)

• 10.1016/j.cam.2003.08.036

start page

• 483

end page

• 496

volume

• 162

issue

• 2