Schemes for cubature over the unit disk found via numerical optimization

Compressed algebraic cubature over polygons with applications to optical design

(2019) B. Bauman et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Rapid evaluation of vignetting-free high-performance systems

(2018) Gregory W. Forbes et al.   OPTICAL ENGINEERING

OUP accepted manuscript

(2017)   IMA JOURNAL OF NUMERICAL ANALYSIS

New fully symmetric and rotationally symmetric cubature rules on the triangle using minimal orthonormal bases

(2016) Stefanos-Aldo Papanicolopulos   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Efficient computation of cubature rules with application to new asymmetric rules on the triangle

(2016) Stefanos-Aldo Papanicolopulos   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

On the identification of symmetric quadrature rules for finite element methods

(2015) F.D. Witherden et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Extended Gaussian type cubatures for the ball

(2015) Hao Nguyen et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Computing almost minimal formulas on the square

(2012) Mattia Festa et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Minimal cubature rules and polynomial interpolation in two variables

(2011) Yuan Xu   JOURNAL OF APPROXIMATION THEORY

Chebyshev lattices, a unifying framework for cubature with Chebyshev weight function

(2010) Ronald Cools et al.   BIT NUMERICAL MATHEMATICS

Robust and fast computation for the polynomials of optics

(2010) G. W. Forbes   OPTICS EXPRESS

Discrete Fourier Analysis, Cubature, and Interpolation on a Hexagon and a Triangle

(2008) Huiyuan Li et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS