Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609044 | Journal of Complexity | 2007 | 13 Pages |
Abstract
We consider formulae of approximate integration over a d-dimensional ball which use n surface integrals along (d-1)-dimensional spheres centered at the origin. For a class of functions defined on the ball with gradients satisfying an integral restriction, optimal formulae of this type are obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis