Monomial cubature rules since “Stroud”: a compilation

Algorithm 764: Cubpack++: a C++ package for automatic two-dimensional cubature

ACM Transactions on Mathematical Software (TOMS)

Nodal high-order methods on unstructured grids

Journal of Computational Physics

An encyclopaedia of cubature formulas

Journal of Complexity

An adaptive numerical cubature algorithm for simplices

ACM Transactions on Mathematical Software (TOMS)

Cubature formulae for spheres, simplices and balls

Journal of Computational and Applied Mathematics

A nodal triangle-based spectral element method for the shallow water equations on the sphere

Journal of Computational Physics

A multivariate empirical characteristic function test of independence with normal marginals

Journal of Multivariate Analysis

Can a minimal degree 6 cubature rule for the disk have all points inside?

Journal of Computational and Applied Mathematics

Improved cubature formulae of high degrees of exactness for the square

Journal of Computational and Applied Mathematics

High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere

Journal of Computational Physics

Asymmetric cubature formulas for polynomial integration in the triangle and square

Journal of Computational and Applied Mathematics

Numerical integration formulas of degree two

Applied Numerical Mathematics

A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates

Journal of Computational Physics

Uncertainty quantification using polynomial chaos expansion with points of monomial cubature rules

Computers and Structures

Product Gauss quadrature rules vs. cubature rules in the meshless local Petrov-Galerkin method

Journal of Complexity

Can a minimal degree 6 cubature rule for the disk have all points inside?

Journal of Computational and Applied Mathematics

Improved cubature formulae of high degrees of exactness for the square

Journal of Computational and Applied Mathematics

Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids

Journal of Computational Physics

On Gauss-Lobatto Integration on the Triangle

SIAM Journal on Numerical Analysis

Theory and use of functionals on the class of nonnegative polynomials and quadrature formulae

Mathematical and Computer Modelling: An International Journal

Symmetric quadrature rules for tetrahedra based on a cubic close-packed lattice arrangement

Journal of Computational and Applied Mathematics

Constructing cubature formulae of degree 5 with few points

Journal of Computational and Applied Mathematics

High-degree cubature Kalman filter

Automatica (Journal of IFAC)

Adaptive approximation of higher order posterior statistics

Journal of Computational Physics