Another step forward in searching for cubature formulae with a minimal number of knots for the square. - Ronald Cools; Ann Haegemans (Computing, 1988)

The construction of cubature formulae for a family of integrals: A bifurcation problem. - Pierre Verlinden; Ronald Cools; Dirk Roose; Ann Haegemans (Computing, 1988)

Minimal cubature formulae of degree 2k-1 for two classical functionals. - Ronald Cools; Hans Joachim Schmid (Computing, 1989)

Symbolic Homotopy Construction. - Jan Verschelde; Ronald Cools (Appl. Algebra Eng. Commun. Comput., 1993)

Algorithm 720: An algorithm for adaptive cubature over a collection of 3-dimensional simplices. - Jarle Berntsen; Ronald Cools; Terje O. Espelid (ACM Trans. Math. Softw., 1993)

Mixed-Volume Computation by Dynamic Lifting Applied to Polynomial System Solving. - Jan Verschelde; Karin Gatermann; Ronald Cools (Discret. Comput. Geom., 1996)

Minimal cubature formulae of trigonometric degree. - Ronald Cools; Ian H. Sloan (Math. Comput., 1996)

The role of embedded integration rules in Bayesian statistics. - Ronald Cools; Petros Dellaportas (Stat. Comput., 1996)

Different Quality Indexes for Lattice Rules. - Ronald Cools; Andrew V. Reztsov (J. Complex., 1997)

Algorithm 764: Cubpack++: A C++ Package for Automatic Two-Dimensional Cubature. - Ronald Cools; Luc Pluym; Dirk Laurie (ACM Trans. Math. Softw., 1997)

A Hybrid Subdivision Strategy for Adaptive Integration. - Ronald Cools; Bart Maerten (J. Univers. Comput. Sci., 1998)

Smolyak's Construction of Cubature Formulas of Arbitrary Trigonometric Degree. - Ronald Cools; Erich Novak; Klaus Ritter 001 (Computing, 1999)

Decomposing the Secondary Cayley Polytope. - T. Michiels; Ronald Cools (Discret. Comput. Geom., 2000)

Three- and four-dimensional K-optimal lattice rules of moderate trigonometric degree. - Ronald Cools; James N. Lyness (Math. Comput., 2001)

Spherical Product Algorithms and the Integration of Smooth Functions with One Singular Point. - Ronald Cools; Erich Novak (SIAM J. Numer. Anal., 2001)

An encyclopaedia of cubature formulas. - Ronald Cools (J. Complex., 2003)

Five- and six-dimensional lattice rules generated by structured matrices. - Ronald Cools; Hilde Govaert (J. Complex., 2003)

On the (non)-existence of some cubature formulas: gaps between a theory and its applications. - Ronald Cools; Hans Joachim Schmid (J. Complex., 2003)

Extrapolation and Adaptivity in Software for Automatic Numerical Integration on a Cube. - Ronald Cools (Numer. Algorithms, 2003)

Algorithm 824: CUBPACK: a package for automatic cubature; framework description. - Ronald Cools; Ann Haegemans (ACM Trans. Math. Softw., 2003)

An adaptive numerical cubature algorithm for simplices. - Alan Genz; Ronald Cools (ACM Trans. Math. Softw., 2003)

Fast Component-By-Component Construction of Rank-1 Lattice Rules for (Non-)Primes (Part II). - Dirk Nuyens; Ronald Cools (Algorithms and Complexity for Continuous Problems, 2004)

A discriminative locally weighted distance measure for speaker independent template based speech recognition. - Mike Matton; Mathias De Wachter; Dirk Van Compernolle; Ronald Cools (INTERSPEECH, 2004)

A theoretical view on transforming low-discrepancy sequences from a cube to a simplex. - Tim Pillards; Ronald Cools (Monte Carlo Methods Appl., 2004)

2. Assessment of Accuracy and Reliability. - Ronald F. Boisvert; Ronald Cools; Bo Einarsson (Accuracy and Reliability in Scientific Computing, 2005)

3. Approximating Integrals, Estimating Errors, and Giving the Wrong Solution for a Deceptively Easy Problem. - Ronald Cools (Accuracy and Reliability in Scientific Computing, 2005)

A note on E. Thiémard's algorithm to compute bounds for the star discrepancy. - Tim Pillards; Ronald Cools (J. Complex., 2005)

Using Box-Muller with Low Discrepancy Points. - Tim Pillards; Ronald Cools (ICCSA (5), 2006)

A Matlab Implementation of an Algorithm for Computing Integrals of Products of Bessel Functions. - Joris Van Deun; Ronald Cools (ICMS, 2006)

Numerical integration in logistic-normal models. - Jorge González; Francis Tuerlinckx; Paul De Boeck; Ronald Cools (Comput. Stat. Data Anal., 2006)

Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points. - Dirk Nuyens; Ronald Cools (J. Complex., 2006)

The Human Striatum is Necessary for Responding to Changes in Stimulus Relevance. - Ronald Cools; Richard B. Ivry; Mark D'Esposito (J. Cogn. Neurosci., 2006)

Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces. - Dirk Nuyens; Ronald Cools (Math. Comput., 2006)

A stable recurrence for the incomplete gamma function with imaginary second argument. - Joris Van Deun; Ronald Cools (Numerische Mathematik, 2006)

Constructing Embedded Lattice Rules for Multivariate Integration. - Ronald Cools; Frances Y. Kuo; Dirk Nuyens (SIAM J. Sci. Comput., 2006)

Algorithm 858: Computing infinite range integrals of an arbitrary product of bessel functions. - Joris Van Deun; Ronald Cools (ACM Trans. Math. Softw., 2006)

On obtaining quadratic and cubic error convergence using weighted Kronecker-sequences. - Bart Vandewoestyne; Ronald Cools; T. Warnock (Computing, 2007)

Quasi-random integration in high dimensions. - George Takhtamyshev; Bart Vandewoestyne; Ronald Cools (Math. Comput. Simul., 2007)

Template-Based Continuous Speech Recognition. - Mathias De Wachter; Mike Matton; Kris Demuynck; Patrick Wambacq; Ronald Cools; Dirk Van Compernolle (IEEE Trans. Speech Audio Process., 2007)

A minimum classification error based distance measure for template based speech recognition. - Mike Matton; Dirk Van Compernolle; Ronald Cools (INTERSPEECH, 2008)

Integrating products of Bessel functions with an additional exponential or rational factor. - Joris Van Deun; Ronald Cools (Comput. Phys. Commun., 2008)

On obtaining higher order convergence for smooth periodic functions. - Bart Vandewoestyne; Ronald Cools (J. Complex., 2008)

On Generalized Gaussian Quadrature Rules for Singular and Nearly Singular Integrals. - Daan Huybrechs; Ronald Cools (SIAM J. Numer. Anal., 2008)

Constructing lattice rules based on weighted degree of exactness and worst case error. - Ronald Cools; Frances Y. Kuo; Dirk Nuyens (Computing, 2010)

Minimum classification error training in example based speech and pattern recognition using sparse weight matrices. - Mike Matton; Dirk Van Compernolle; Ronald Cools (J. Comput. Appl. Math., 2010)

An adaptive approach to cube-based quasi-Monte Carlo integration on Rd. - Tim Pillards; Bart Vandewoestyne; Ronald Cools (Math. Comput. Simul., 2010)

On the convergence of quasi-random sampling/importance resampling. - Bart Vandewoestyne; Ronald Cools (Math. Comput. Simul., 2010)

Computational investigations of scrambled Faure sequences. - Bart Vandewoestyne; Hongmei Chi; Ronald Cools (Math. Comput. Simul., 2010)

Extremal lattices and the construction of lattice rules. - Nikolay N. Osipov; Ronald Cools; Michael V. Noskov (Appl. Math. Comput., 2011)

Extended exponentially fitted interpolation formulas for oscillatory functions. - Kyung-Joong Kim 003; Ronald Cools (Appl. Math. Comput., 2013)

Conditional Sampling for Barrier Option Pricing under the LT Method. - Nico Achtsis; Ronald Cools; Dirk Nuyens (SIAM J. Financial Math., 2013)

CHEBINT: A MATLAB/Octave toolbox for fast multivariate integration and interpolation based on chebyshev approximations over hypercubes. - Koen Poppe; Ronald Cools (ACM Trans. Math. Softw., 2013)

Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functions. - Ronald Cools; Frances Y. Kuo; Dirk Nuyens; Gowri Suryanarayana (J. Complex., 2016)

Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters. - Ronald Cools; Frances Y. Kuo; Dirk Nuyens; Ian H. Sloan (CoRR, 2019)

Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters. - Ronald Cools; Frances Y. Kuo; Dirk Nuyens; Ian H. Sloan (75 Years of Mathematics of Computation, 2020)

Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights. - Ronald Cools; Frances Y. Kuo; Dirk Nuyens; Ian H. Sloan (Math. Comput., 2021)

Error bounds for function approximation using generated sets. - Ronald Cools; Dirk Nuyens; Laurence Wilkes (CoRR, 2025)