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
Cubature formulae and orthogonal polynomials
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. V: quadrature and orthogonal polynomials
Rotation invariant cubature formulas over the n-dimensional unit cube
Journal of Computational and Applied Mathematics
An encyclopaedia of cubature formulas
Journal of Complexity
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Hyperinterpolation in the cube
Computers & Mathematics with Applications
Padua2DM: fast interpolation and cubature at the Padua points in Matlab/Octave
Numerical Algorithms
Hi-index | 7.29 |
The method of constructing minimal cubature rules with high algebraic degrees of exactness is developed by adapting a powerful algorithm for solving the system of nonlinear equations. As a result, new cubature formulae of degrees 15, 17, 19, 21, and 23 are derived for the square. They lead to lower numbers of knots and/or to better quality with respect to those known previously. The formulae obtained should be considered as the most efficient for the calculation of two-dimensional integrals with a high precision.