Ronald Cools

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Dirk NuyensNUMA, KU LeuvenVerified email at cs.kuleuven.be
Bart VandewoestyneSenior C++ Developer, ST Engineering iDirectVerified email at telenet.be
Frances Y. KuoUNSW AustraliaVerified email at unsw.edu.au
Dirk Van CompernolleKULeuvenVerified email at telenet.be
Koen PoppeVerified email at cs.kuleuven.be
Gowri SuryanarayanaResearcher, VITOVerified email at vito.be
Ian SloanProfessor of Mathematics, University of New South Wales (UNSW Australia)Verified email at unsw.edu.au
Liviu IxaruProfessor, Horia Hulubei National institute of Physics and Nuclear EngineeringVerified email at theory.nipne.ro
Alan GenzEmeritus Professor of Mathematics, Washington State UniversityVerified email at wsu.edu
Adhemar BultheelComputer Science, KU LeuvenVerified email at cs.kuleuven.be
Patrick WambacqKU LeuvenVerified email at esat.kuleuven.be
Daan HuybrechsProfessor, KU LeuvenVerified email at kuleuven.be
Erich NovakMathematics, Jena UniversityVerified email at uni-jena.de
Vlastimil HavranCzech Technical University in PragueVerified email at fel.cvut.cz
Hans-Peter SeidelProfessor of Computer Science, Max Planck Institute for Informatics, Saarland Informatics CampusVerified email at mpi-inf.mpg.de
francis tuerlinckxUniversity of LeuvenVerified email at ppw.kuleuven.be
Jorge Andres Gonzalez BurgosAssociate Professor, Pontificia Universidad Católica de ChileVerified email at mat.uc.cl
Kevin WoodsProfessor of Mathematics, Oberlin CollegeVerified email at oberlin.edu
Maurice BruynoogheProfessor Em. of Computer Science, KULeuvenVerified email at cs.kuleuven.be
Sven VerdoolaegePolly LabsVerified email at inria.fr

Ronald Cools

Professor at Dept. of Computer Science, KU Leuven

Verified email at cs.kuleuven.be

Numerical integration quadrature cubature numerical software


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
An encyclopaedia of cubature formulas R Cools Journal of complexity 19 (3), 445-453, 2003	369	2003
Monomial cubature rules since “Stroud”: a compilation R Cools, P Rabinowitz Journal of Computational and Applied Mathematics 48 (3), 309-326, 1993	343	1993
Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces D Nuyens, R Cools Mathematics of Computation 75 (254), 903-920, 2006	294	2006
Homotopies exploiting Newton polytopes for solving sparse polynomial systems J Verschelde, P Verlinden, R Cools SIAM Journal on Numerical Analysis 31 (3), 915-930, 1994	281	1994
Constructing cubature formulae: the science behind the art R Cools Acta numerica 6, 1-54, 1997	260	1997
Template-based continuous speech recognition M De Wachter, M Matton, K Demuynck, P Wambacq, R Cools, ... IEEE Transactions on Audio, Speech, and Language Processing 15 (4), 1377-1390, 2007	239	2007
Monomial cubature rules since “Stroud”: a compilation—part 2 R Cools Journal of Computational and Applied Mathematics 112 (1-2), 21-27, 1999	214	1999
Constructing embedded lattice rules for multivariate integration R Cools, FY Kuo, D Nuyens SIAM Journal on Scientific Computing 28 (6), 2162-2188, 2006	152	2006
A survey of numerical cubature over triangles JN Lyness, R Cools Proceedings of Symposia in Applied Mathematics 48, 127-150, 1994	149	1994
Advances in multidimensional integration R Cools Journal of computational and applied mathematics 149 (1), 1-12, 2002	121	2002
Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points D Nuyens, R Cools Journal of Complexity 22 (1), 4-28, 2006	118	2006
The Newton‐Raphson method J Verbeke, R Cools International Journal of Mathematical Education in Science and Technology 26 …, 1995	115	1995
Algorithm 824: CUBPACK: A package for automatic cubature; framework description R Cools, A Haegemans ACM Transactions on Mathematical Software (TOMS) 29 (3), 287-296, 2003	103	2003
Good permutations for deterministic scrambled Halton sequences in terms of L2-discrepancy B Vandewoestyne, R Cools Journal of computational and applied mathematics 189 (1-2), 341-361, 2006	93	2006
Mixed-volume computation by dynamic lifting applied to polynomial system solving J Verschelde, K Gatermann, R Cools Discrete & Computational Geometry 16, 69-112, 1996	89	1996
Fast component-by-component construction, a reprise for different kernels D Nuyens, R Cools Monte Carlo and Quasi-Monte Carlo Methods 2004, 373-387, 2006	85	2006
An adaptive numerical cubature algorithm for simplices A Genz, R Cools ACM Transactions on Mathematical Software (TOMS) 29 (3), 297-308, 2003	75*	2003
Algorithm 764: Cubpack++ a C++ package for automatic two-dimensional cubature R Cools, L Pluym, D Laurie ACM Transactions on Mathematical Software (TOMS) 23 (1), 1-15, 1997	67	1997
Symbolic homotopy construction J Verschelde, R Cools Applicable Algebra in Engineering, Communication and Computing 4, 169-183, 1993	64	1993
Cubature formulae and orthogonal polynomials R Cools, IP Mysovskikh, HJ Schmid Journal of Computational and Applied Mathematics 127 (1-2), 121-152, 2001	61	2001

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