Ronald Cools

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All published works

Action	Title	Year	Authors
+	Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights	2020	Ronald Cools Frances Y. Kuo Dirk Nuyens Ian H. Sloan
+ PDF Chat	Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters	2020	Ronald Cools Frances Y. Kuo Dirk Nuyens Ian H. Sloan
+	Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights	2019	Ronald Cools Frances Y. Kuo Dirk Nuyens Ian H. Sloan
+	Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters	2019	Ronald Cools Frances Y. Kuo Dirk Nuyens Ian H. Sloan
+	Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights	2019	Ronald Cools Frances Y. Kuo Dirk Nuyens Ian H. Sloan
+	Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters	2019	Ronald Cools Frances Y. Kuo Dirk Nuyens Ian H. Sloan
+	The Analysis of Vertex Modified Lattice Rules in a Non-periodic Sobolev Space	2018	Dirk Nuyens Ronald Cools
+	Polynomial and exponential convergence for Euclidean integrals	2016	Dirk Nuyens Dong Nguyen Ronald Cools
+	Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functions	2016	Ronald Cools Frances Y. Kuo Dirk Nuyens Gowri Suryanarayana
+	Monte Carlo and Quasi-Monte Carlo Methods	2016	Ronald Cools Dirk Nuyens
+	Integration and Approximation with Fibonacci lattice points	2015	Gowri Suryanarayana Ronald Cools Dirk Nuyens
+	Quasi Monte-Carlo methods for the TDSE (Time dependent Schrödinger equation)	2015	Gowri Suryanarayana Dirk Nuyens Ronald Cools
+	Approximation with lattice points	2015	Dirk Nuyens Gowri Suryanarayana Ronald Cools Frances Y. Kuo
+	On lattice rules, approximation and Lebesgue constants	2015	Ronald Cools Dirk Nuyens Gowri Suryanarayana
+	Integration and approximation in cosine space	2015	Ronald Cools Frances Y. Kuo Dirk Nuyens Gowri Suryanarayana
+ PDF Chat	Reconstruction and Collocation of a Class of Non-periodic Functions by Sampling Along Tent-Transformed Rank-1 Lattices	2015	Gowri Suryanarayana Dirk Nuyens Ronald Cools
+	Approximation in cosine space using tent transformed lattice rules	2014	Dirk Nuyens Gowri Suryanarayana Ronald Cools Frances Y. Kuo
+	Rank-1 lattices for the approximation of non-periodic functions	2014	Gowri Suryanarayana Dirk Nuyens Ronald Cools
+	Approximation of non-periodic functions	2014	Gowri Suryanarayana Dirk Nuyens Ronald Cools
+	Extended exponentially fitted interpolation formulas for oscillatory functions	2013	Kyung-Joong Kim Ronald Cools
+	Collocation for non-periodic functions with lattice points	2013	Gowri Suryanarayana Dirk Nuyens Ronald Cools
+ PDF Chat	Conditional Sampling for Barrier Option Pricing Under the Heston Model	2013	Nico Achtsis Ronald Cools Dirk Nuyens
+ PDF Chat	Conditional Sampling for Barrier Option Pricing under the LT Method	2013	Nico Achtsis Ronald Cools Dirk Nuyens
+	Conditional sampling for barrier option pricing under the Heston model	2012	Nico Achtsis Ronald Cools Dirk Nuyens
+	On quasi-Monte Carlo techniques in particle filters for robotics	2012	Koen Poppe Ronald Cools Tinne De Laet Herman Bruyninckx
+ PDF Chat	In Search for Good Chebyshev Lattices	2012	Koen Poppe Ronald Cools
+	Conditional sampling for barrier option pricing under the Heston model	2012	Nico Achtsis Ronald Cools Dirk Nuyens
+	From optimal cubature formulae to Chebyshev lattices: a way towards generalised Clenshaw-Curtis quadrature	2011	Ronald Cools Koen Poppe
+	Chebyshev lattices, a unifying framework for cubature with Chebyshev weight function	2010	Ronald Cools Koen Poppe
+	Extremal lattices and the construction of lattice rules	2010	Н. Н. Осипов Ronald Cools М. В. Носков
+	An algorithm for the construction of weighted degree lattice rules	2010	Dirk Nuyens Ronald Cools Frances Y. Kuo
+	Multivariate Clenshaw-Curtis integration using Chebyshev lattices	2010	Koen Poppe Ronald Cools
+	Constructing lattice rules based on weighted degree of exactness and worst case error	2010	Ronald Cools Frances Y. Kuo Dirk Nuyens
+ PDF Chat	Higher Order Quasi-Monte Carlo Methods: A Comparison	2010	Dirk Nuyens Ronald Cools Theodore E. Simos George Psihoyios Ch. Tsitouras
+	The Birth of Numerical Analysis	2009	Adhemar Bultheel Ronald Cools
+	Computational investigations of scrambled Faure sequences	2009	Bart Vandewoestyne Hongmei Chi Ronald Cools
+ PDF Chat	On the convergence of quasi-random sampling/importance resampling	2009	Bart Vandewoestyne Ronald Cools
+	1-D FFT for n-D Clenshaw Curtis integration	2009	Koen Poppe Ronald Cools
+	An adaptive approach to cube-based quasi-Monte Carlo integration on	2009	Tim Pillards Bart Vandewoestyne Ronald Cools
+	Recent topics in numerical integration	2009	Ronald Cools Daan Huybrechs Dirk Nuyens
+ PDF Chat	On Generalized Gaussian Quadrature Rules for Singular and Nearly Singular Integrals	2009	Daan Huybrechs Ronald Cools
+	Extensions of Fibonacci Lattice Rules	2009	Ronald Cools Dirk Nuyens
+	Construction of lattice rules: from K-optimal lattices to extremal lattices	2009	Ronald Cools М. В. Носков Н. Н. Осипов
+	The approximation of multiple integrals	2008	Ronald Cools
+	An introduction to the world of lattice rules for multivariate integration	2008	Ronald Cools
+	Recent advances on constructing lattice rules for multidimensional integration	2008	Ronald Cools
+	Recent advances in multidimensional integration	2008	Ronald Cools
+	Polynomial copy rules in Walsh spaces	2008	Dirk Nuyens Ronald Cools
+	Zestig jaar numerieke wiskunde	2008	Adhemar Bultheel Ronald Cools
+	Numerical analysis turns sixty: birthday celebration held at K.U.Leuven	2008	Adhemar Bultheel Ronald Cools
+	A Belgian View on Lattice Rules	2007	Ronald Cools Dirk Nuyens
+	On obtaining higher order convergence for smooth periodic functions	2007	Bart Vandewoestyne Ronald Cools
+	Integrating products of Bessel functions with an additional exponential or rational factor	2007	Joris Van Deun Ronald Cools
+	An overview of fast component‐by‐component constructions of lattice rules and lattice sequences	2007	Dirk Nuyens Ronald Cools
+ PDF Chat	On the convergence of quasi‐random sampling importance resampling	2007	Ronald Cools Bart Vandewoestyne
+	Quasi-Random Sampling Importance Resampling and its convergence	2007	Bart Vandewoestyne Ronald Cools
+	A generic software implementation of lattice sequences for numerical integration	2007	Dirk Nuyens Ronald Cools
+	On obtaining quadratic and cubic error convergence using weighted Kronecker-sequences	2007	Bart Vandewoestyne Ronald Cools Tony Warnock
+	Constructions of copy rules	2007	Dirk Nuyens Ronald Cools Theodore E. Simos George Psihoyios Ch. Tsitouras
+	Aanvullingen bij Toegepaste Algebra	2007	Joos Vandewalle Ronald Cools
+	Algorithm 858	2006	Joris Van Deun Ronald Cools
+	The Role of Structured Matrices for the Construction of Integration Lattices	2006	Ronald Cools Dirk Nuyens
+	Minimizing the L2 and L[infinity] star discrepancies of a single point in the unit hypercube	2006	Tim Pillards Bart Vandewoestyne Ronald Cools
+	Quasi-Monte Carlo integration of functions of unbounded variation	2006	Ronald Cools Tim Pillards
+	A stable recurrence for the incomplete gamma function with imaginary second argument	2006	Joris Van Deun Ronald Cools
+	On a quasi-Monte Carlo integration method that uses weighted sums of Weyl-points	2006	Bart Vandewoestyne Ronald Cools
+	Lattice rules for derivative pricing	2006	Dirk Nuyens Ronald Cools
+	Quasi-random integration in high dimensions	2006	George Takhtamyshev Bart Vandewoestyne Ronald Cools
+	Numerical integration in logistic-normal models	2006	Jorge González Francis Tuerlinckx Paul De Boeck Ronald Cools
+	Fast Component-by-Component Construction, a Reprise for Different Kernels	2006	Dirk Nuyens Ronald Cools
+	Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces	2006	Dirk Nuyens Ronald Cools
+	Using Box-Muller with Low Discrepancy Points	2006	Tim Pillards Ronald Cools
+ PDF Chat	Constructing Embedded Lattice Rules for Multivariate Integration	2006	Ronald Cools Frances Y. Kuo Dirk Nuyens
+	Methods and Software for Computing Mathematical Functions-A Matlab Implementation of an Algorithm for Computing Integrals of Products of Bessel Functions	2006	Joris Van Deun Ronald Cools
+	More about cubature formulas and densest lattice packings	2006	Ronald Cools
+ PDF Chat	A Matlab Implementation of an Algorithm for Computing Integrals of Products of Bessel Functions	2006	Joris Van Deun Ronald Cools
+	Computing infinite range integrals of products of Bessel functions	2006	Joris Van Deun Ronald Cools
+	The state of the art of constructing cubature formulas for multi-variate integrals	2006	Ronald Cools
+	Symmetries in cubature formulas	2006	Ronald Cools
+	Minimizing the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si22.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si23.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mo>∞</mml:mo></mml:mrow></mml:msub></mml:math> star discrepancies of a single point in the unit hypercube	2005	Tim Pillards Bart Vandewoestyne Ronald Cools
+	Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points	2005	Dirk Nuyens Ronald Cools
+	Good permutations for deterministic scrambled Halton sequences in terms of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si69.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>-discrepancy	2005	Bart Vandewoestyne Ronald Cools
+	An illustrated story of fast construction of embedded lattice sequences for weighted spaces	2005	Ronald Cools Frances Y. Kuo Dirk Nuyens Ian H. Sloan
+	On the L_2-Discrepancy of scrambled Halton sequences	2005	Bart Vandewoestyne Ronald Cools
+	A comparative study of (adaptive) quasi-Monte Carlo methods for Rs	2005	Ronald Cools Tim Pillards
+	Computation and manipulation of enumerators of integer projections of parametric polytopes	2005	Sven Verdoolaege Kevin M. Woods Maurice Bruynooghe Ronald Cools
+	Computing infinite range integrals of an arbitrary product of Bessel functions	2005	Joris Van Deun Ronald Cools
+	Toegepaste algebra - aanvullingen	2005	Joos Vandewalle Ronald Cools
+	Integrating products of Bessel functions using the incomplete Gamma functions	2005	Joris Van Deun Ronald Cools
+	Fast component-by-component construction for (non-)primes ?	2004	Dirk Nuyens Ronald Cools
+	Good permutations for scrambled Halton sequences in terms of L2-discrepancy	2004	Bart Vandewoestyne Ronald Cools
+	A note on E. Thiémard's algorithm to compute bounds for the star discrepancy	2004	Tim Pillards Ronald Cools
+	Computational aspects of lattice rule construction for numerical integration	2004	Dirk Nuyens Ronald Cools
+	Transforming low-discrepancy sequences from a cube to a simplex	2004	Tim Pillards Ronald Cools
+	A theoretical view on transforming low-discrepancy sequences from a cube to a simplex	2004	Tim Pillards Ronald Cools
+	Fast Component-By-Component Construction of Rank-1 Lattice Rules for (Non-)Primes (Part II)	2004	Dirk Nuyens Ronald Cools
+	A comparative study of existing quasi-Monte Carlo approximation in R^s	2004	Tim Pillards Ronald Cools
+	Five- and six-dimensional lattice rules generated by structured matrices	2003	Ronald Cools Hilde Govaert
+	An adaptive numerical cubature algorithm for simplices	2003	Alan Genz Ronald Cools
+	Making low-discrepancy sequences useful for other regions than cubes	2003	Ronald Cools Tim Pillards
+	Extended quadrature rules for oscillatory integrands	2003	Kyung-Joong Kim Ronald Cools L.Gr. Ixaru
+	On the (non)-existence of some cubature formulas: gaps between a theory and its applications	2003	Ronald Cools Hans Schmid
+	An encyclopaedia of cubature formulas	2003	Ronald Cools
+	Subdivision strategies in adaptive integration algorithms	2003	Ronald Cools
+	Advances in multidimensional integration	2002	Ronald Cools
+	Analysing transformations of low-discrepancy point sets	2002	Tim Pillards Ronald Cools
+	Cubature Formulas of a Nonalgebraic Degree of Precision	2002	Ronald Cools J.C. Santos-León
+	Quadrature rules using first derivatives for oscillatory integrands	2002	Kyung-Joong Kim Ronald Cools L.Gr. Ixaru
+	Rotation invariant cubature formulas over the n-dimensional unit cube	2001	Ronald Cools Kyung Joong Kim
+ PDF Chat	Three- and four-dimensional 𝐾-optimal lattice rules of moderate trigonometric degree	2001	Ronald Cools J. N. Lyness
+	Spherical Product Algorithms and the Integration of Smooth Functions with One Singular Point	2001	Ronald Cools Erich Novak
+	Cubature formulae and orthogonal polynomials	2001	Ronald Cools I.P. Mysovskikh Hans Schmid
+	A survey of known and new cubature formulas for the unit disk	2000	Ronald Cools Kyung Joong Kim
+ PDF Chat	Notes on a search for optimal lattice rules	2000	J. N. Lyness Ronald Cools
+ PDF Chat	Decomposing the Secondary Cayley Polytope	2000	T. Michiels Ronald Cools
+	Lattice rules of moderate trigonometric degree	1999	Ronald Cools J. N. Lyness
+	Smolyak's Construction of Cubature Formulas of Arbitrary Trigonometric Degree	1999	Ronald Cools Erich Novak Klaus Ritter
+	The effectiveness of quasi-Monte Carlo sampling for solving the radiosity problem	1998	Philippe Bekaert Ronald Cools Yves Willems
+	Different Quality Indexes for Lattice Rules	1997	Ronald Cools А. В. Резцов
+ PDF Chat	Algorithm 764: Cubpack++	1997	Ronald Cools Luc Pluym Dirk Laurie
+	Constructing cubature formulae: the science behind the art	1997	Ronald Cools
+	The approximation of low-dimensional integrals: available tools and trends	1997	Ronald Cools
+	The role of embedded integration rules in Bayesian statistics	1996	Ronald Cools Πέτρος Δελλαπόρτας
+ PDF Chat	Minimal cubature formulae of trigonometric degree	1996	Ronald Cools Ian H. Sloan
+	Polynomial homotopy continuation: a portable Ada software package	1996	Jan Verschelde Ronald Cools
+	The Newton‐Raphson method	1995	Johan Verbeke Ronald Cools
+ PDF Chat	Proof of a Conjectured Asymptotic Expansion for the Approximation of Surface Integrals	1994	Pierre Verlinden Ronald Cools
+	An imbedded family of cubature formulae for n-dimensional product regions	1994	Ronald Cools Ann Haegemans
+	Homotopies Exploiting Newton Polytopes for Solving Sparse Polynomial Systems	1994	Jan Verschelde Pierre Verlinden Ronald Cools
+	Symmetric homotopy construction	1994	Jan Verschelde Ronald Cools
+	A survey of numerical cubature over triangles	1994	J. N. Lyness Ronald Cools
+ PDF Chat	Proof of a conjectured asymptotic expansion for the approximation of surface integrals	1994	P. Verlinden Ronald Cools
+	Monomial cubature rules since “Stroud”: a compilation	1993	Ronald Cools Philip Rabinowitz
+ PDF Chat	Algorithm 720: An algorithm for adaptive cubature over a collection of 3-dimensional simplices	1993	Jarle Berntsen Ronald Cools Terje O. Espelid
+ PDF Chat	Symbolic homotopy construction	1993	Jan Verschelde Ronald Cools
+	A relation between cubature formulae of trigonometric degree and lattice rules	1993	Marc Beckers Ronald Cools
+	A new lower bound for the number of nodes in cubature formulae of degree 4 n + 1 for some circularly symmetric integrals	1993	Ronald Cools Hans Schmid
+	On cubature formulae of degree 4k+1 attaining M�ller's lower bound for integrals with circular symmetry	1992	Pierre Verlinden Ronald Cools
+	Nonlinear reduction for solving deficient polynomial systems by continuation methods	1992	Jan Verschelde Ronald Cools
+	The method of Newton-Raphson	1992	Johan Verbeke Ronald Cools
+	The algebraic construction of a minimal cubature formula of degree 11 for the square	1991	Pierre Verlinden Ronald Cools
+	A cubature formula of degree 19 with 68 nodes for integration over the square	1991	Pierre Verlinden Ronald Cools
+	Solving symmetric systems of polynomial equations using continuation methods	1991	Verschelde Jan Ronald Cools
+	A lower bound for the number of function evaluations in an error estimate for numerical integration	1990	Ronald Cools Ann Haegemans
+	The Construction of Cubature Formulae Using Continuation and Bifurcation Software	1990	Ronald Cools Ann Haegemans
+	On the construction of multi-dimensional embedded cubature formulae	1989	Ronald Cools Ann Haegemans
+	Minimal cubature formulae of degree 2k−1 for two classical functionals	1989	Ronald Cools Hans Schmid
+	Why do so many cubature formulae have so many positive weights?	1988	Ronald Cools Ann Haegemans
+	The construction of cubature formulae for a family of integrals: A bifurcation problem	1988	Pierre Verlinden Ronald Cools Dirk Roose Ann Haegemans
+	An embedded pair of cubature formulae of degree 5 and 7 for the triangle	1988	Ronald Cools Ann Haegemans
+	Another step forward in searching for cubature formulae with a minimal number of knots for the square	1988	Ronald Cools Ann Haegemans
+	Construction of Symmetric Cubature Formulae with the Number of Knots (Almost) Equal to Möller’s Lower Bound	1988	Ronald Cools Ann Haegemans
+	Automatic computation of knots and weights of cubature formulae for circular symmetric planar regions	1987	Ronald Cools Ann Haegemans
+	Construction of minimal cubature formulae for the square and the triangle, using invariant theory	1987	Ronald Cools Anny Haegemans
+	Construction of symmetric cubature formulae with the number of knots (almost) equal to Möller's lower bound (with proofs)	1987	Ronald Cools Anny Haegemans
+	Construction of fully symmetric cubature formulae of degree 4k − 3 for fully symmetric planar regions	1987	Ronald Cools Ann Haegemans
+	Construction of Three-Dimensional Cubature Formulae with Points on Regular and Semi-Regular Polytopes	1987	Ann Haegemans Ronald Cools
+	Tables of sequences of cubature formulae for circular symmetric planar regions	1986	Ronald Cools Anny Haegemans
+	Optimal addition of knots to cubature formulae for planar regions	1986	Ronald Cools Ann Haegemans

Common Coauthors

Coauthor	Papers Together
Dirk Nuyens	44
Bart Vandewoestyne	14
Frances Y. Kuo	14
Ann Haegemans	13
Tim Pillards	12
Gowri Suryanarayana	11
Ian H. Sloan	8
Joris Van Deun	8
Koen Poppe	6
Pierre Verlinden	6
Jan Verschelde	5
Hans Schmid	4
Nico Achtsis	4
Anny Haegemans	3
J. N. Lyness	3
Adhemar Bultheel	3
Kyung-Joong Kim	3
L.Gr. Ixaru	2
Ch. Tsitouras	2
Kyung Joong Kim	2
Joos Vandewalle	2
Daan Huybrechs	2
М. В. Носков	2
Erich Novak	2
George Psihoyios	2
Theodore E. Simos	2
Н. Н. Осипов	2
Johan Verbeke	2
Jorge González	1
I.P. Mysovskikh	1
J.C. Santos-León	1
Paul De Boeck	1
Dirk Roose	1
Tinne De Laet	1
Hilde Govaert	1
Πέτρος Δελλαπόρτας	1
George Takhtamyshev	1
А. В. Резцов	1
P. Verlinden	1
Hongmei Chi	1
Luc Pluym	1
Tony Warnock	1
T. Michiels	1
Herman Bruyninckx	1
Terje O. Espelid	1
Dong Nguyen	1
Jarle Berntsen	1
Philip Rabinowitz	1
Kevin M. Woods	1
J. N. Lyness	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Lattice Methods for Multiple Integration	1994	Ian H. Sloan Stephen Joe	24
+	Random Number Generation and Quasi-Monte Carlo Methods.	1993	Bruce Jay Collings Harald Niederreiter	23
+	Approximate Calculation of Multiple Integrals	1973	W. G. A. H. Stroud	20
+	On the approximate calculation of multiple integrals	2015	N. S. Bakhvalov	17
+	Constructing cubature formulae: the science behind the art	1997	Ronald Cools	15
+	Random Number Generation and Quasi-Monte Carlo Methods	1992	Harald Niederreiter	15
+	Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces	2006	Dirk Nuyens Ronald Cools	14
+	Component-by-component constructions achieve the optimal rate of convergence for multivariate integration in weighted Korobov and Sobolev spaces	2003	Frances Y. Kuo	13
+ PDF Chat	Minimal cubature formulae of trigonometric degree	1996	Ronald Cools Ian H. Sloan	12
+ PDF Chat	Component-by-component construction of good lattice rules	2001	Ian H. Sloan А. В. Резцов	12
+	When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals?	1998	Ian H. Sloan Henryk Woźniakowski	12
+	Construction of Cubature Formulas of Degree Seven and Nine Symmetric Planar Regions, Using Orthogonal Polynomials	1977	Ann Haegemans Robert Piessens	11
+	A Belgian View on Lattice Rules	2007	Ronald Cools Dirk Nuyens	10
+ PDF Chat	Constructing Embedded Lattice Rules for Multivariate Integration	2006	Ronald Cools Frances Y. Kuo Dirk Nuyens	10
+	Constructing Randomly Shifted Lattice Rules in Weighted Sobolev Spaces	2002	Ian H. Sloan Frances Y. Kuo Stephen Joe	9
+	Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables	1965	D. B. Owen Milton Abramowitz Irene A. Stegun	9
+	Monomial cubature rules since “Stroud”: a compilation	1993	Ronald Cools Philip Rabinowitz	9
+	Construction of fully symmetric cubature formulae of degree 4k − 3 for fully symmetric planar regions	1987	Ronald Cools Ann Haegemans	9
+	Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points	2005	Dirk Nuyens Ronald Cools	9
+	A relation between cubature formulae of trigonometric degree and lattice rules	1993	Marc Beckers Ronald Cools	9
+	Lattice Rules: How Well Do They Measure Up?	1998	Fred J. Hickernell	9
+	Construction of cubature formulas of degree eleven for symmetric planar regions, using orthogonal polynomials	1976	Ann Haegemans Robert Piessens	8
+	Monte Carlo and quasi-Monte Carlo methods	1998	Russel E. Caflisch	8
+	Construction of Symmetric Cubature Formulae with the Number of Knots (Almost) Equal to Möller’s Lower Bound	1988	Ronald Cools Ann Haegemans	8
+	Lattice Rules for Multivariate Approximation in the Worst Case Setting	2006	Frances Y. Kuo Ian H. Sloan Henryk Woźniakowski	7
+ PDF Chat	Three- and four-dimensional 𝐾-optimal lattice rules of moderate trigonometric degree	2001	Ronald Cools J. N. Lyness	7
+	The construction of good lattice rules and polynomial lattice rules.	2014	Dirk Nuyens	7
+	Five- and six-dimensional lattice rules generated by structured matrices	2003	Ronald Cools Hilde Govaert	7
+	Constructing lattice rules based on weighted degree of exactness and worst case error	2010	Ronald Cools Frances Y. Kuo Dirk Nuyens	7
+	Automatic computation of knots and weights of cubature formulae for circular symmetric planar regions	1987	Ronald Cools Ann Haegemans	7
+	The Application of Integer Programming to the Computation of Fully Symmetric Integration Formulas in Two and Three Dimensions	1977	Francis Mantel Philip Rabinowitz	6
+ PDF Chat	Perfectly symmetric two-dimensional integration formulas with minimal numbers of points	1969	Philip Rabinowitz Nira Richter	6
+ PDF Chat	Cubature formulas of degree nine for symmetric planar regions	1975	Robert Piessens Ann Haegemans	6
+	Monte Carlo and Quasi-Monte Carlo Methods 2004	2006	Harald Niederreiter Denis Talay	6
+	Lattice Methods for Multiple Integration: Theory, Error Analysis and Examples	1987	Ian H. Sloan Philip J. Kachoyan	6
+	Linear Information	2008	Erich Novak Henryk Woźniakowski	6
+	Obtaining O(N - 2+∈) Convergence for Lattice Quadrature Rules	2002	Fred J. Hickernell	6
+	On the Construction of Cubature Formulae with Few Nodes Using Groebner Bases	1987	H. Michael Möller	6
+	Reconstructing Hyperbolic Cross Trigonometric Polynomials by Sampling along Rank-1 Lattices	2013	Lutz Kämmerer	5
+	Invariant Integration Formulas for the <i>n</i>-Simplex by Combinatorial Methods	1978	Axel Grundmann H. Michael Möller	5
+ PDF Chat	Lattice rules for nonperiodic smooth integrands	2013	Josef Dick Dirk Nuyens Friedrich Pillichshammer	5
+	La Méthode des “Bons Treillis” pour le Calcul des Intégrales Multiples	1972	S. K. Zaremba	5
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	5
+	Constructing Good Lattice Rules with Millions of Points	2004	Josef Dick Frances Y. Kuo	5
+	Tractability of Multivariate Problems: Volume I: Linear Information	2008	Erich Novak Henryk Woźniakowski	5
+	Good Lattice Rules in Weighted Korobov Spaces with General Weights	2006	Josef Dick Ian H. Sloan Xiaoqun Wang Henryk Woźniakowski	5
+	Quadrature formulae of the highest trigonometric degree of accuracy	1985	I.P. Mysovskikh	5
+	On the convergence rate of the component-by-component construction of good lattice rules	2004	Josef Dick	5
+	High-dimensional integration: The quasi-Monte Carlo way	2013	Josef Dick Frances Y. Kuo Ian H. Sloan	5
+	Notes on lattice rules	2003	J. N. Lyness	4