Monomial cubature rules since “Stroud”: a compilation
Journal of Computational and Applied Mathematics
Monomial cubature rules since “Stroud”: a compilation—part 2
Journal of Computational and Applied Mathematics - Numerical evaluation of integrals
Rotation invariant cubature formulas over the n-dimensional unit cube
Journal of Computational and Applied Mathematics
An encyclopaedia of cubature formulas
Journal of Complexity
On the number of nodes in n-dimensional cubature formulae of degree 5 for integrals over the ball
Journal of Computational and Applied Mathematics
Higher-Dimensional Integration with Gaussian Weight for Applications in Probabilistic Design
SIAM Journal on Scientific Computing
On Minimal Cubature Formulae of Small Degree for Spherically Symmetric Integrals
SIAM Journal on Numerical Analysis
Improved cubature formulae of high degrees of exactness for the square
Journal of Computational and Applied Mathematics
Hi-index | 7.29 |
This paper is devoted to construct a family of fifth degree cubature formulae for n-cube with symmetric measure and n-dimensional spherically symmetrical region. The formula forn-cube contains at most n^2+5n+3 points and for n-dimensional spherically symmetrical region contains only n^2+3n+3 points. Moreover, the numbers can be reduced to n^2+3n+1 and n^2+n+1 if n=7 respectively, the latter of which is minimal.