Extended Gaussian type cubatures for the ball Academic Article uri icon

abstract

  • 2015 Elsevier B.V. All rights reserved. We construct cubatures that approximate the integral of a function u over the unit ball by the linear combination of surface integrals over the unit sphere of normal derivatives of u and surface integrals of u and 2u over m spheres, centered at the origin. We derive explicitly the weights and the nodes of these cubatures, and show that they are exact for all (2m+2)-harmonic functions.

published proceedings

  • JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

author list (cited authors)

  • Hao, N., & Petrova, G.

citation count

  • 3

complete list of authors

  • Hao, Nguyen||Petrova, Guergana

publication date

  • January 2015