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ORCIDRonald Cools
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- affiliation: Catholic University of Leuven, Belgium
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Journal Articles
- 2021
[j47]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. Math. Comput. 90(328): 787-812 (2021)- 2016
- [j46]Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Gowri Suryanarayana:
Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functions. J. Complex. 36: 166-181 (2016) - 2013
- [j45]Kyung-Joong Kim, Ronald Cools:
Extended exponentially fitted interpolation formulas for oscillatory functions. Appl. Math. Comput. 224: 178-195 (2013) - [j44]Nico Achtsis, Ronald Cools, Dirk Nuyens:
Conditional Sampling for Barrier Option Pricing under the LT Method. SIAM J. Financial Math. 4(1): 327-352 (2013) - [j43]Koen Poppe, Ronald Cools:
CHEBINT: A MATLAB/Octave toolbox for fast multivariate integration and interpolation based on chebyshev approximations over hypercubes. ACM Trans. Math. Softw. 40(1): 2:1-2:13 (2013) - 2011
- [j42]Nikolay N. Osipov, Ronald Cools, Michael V. Noskov:
Extremal lattices and the construction of lattice rules. Appl. Math. Comput. 217(9): 4397-4407 (2011) - 2010
- [j41]Ronald Cools, Frances Y. Kuo, Dirk Nuyens:
Constructing lattice rules based on weighted degree of exactness and worst case error. Computing 87(1-2): 63-89 (2010) - [j40]Mike Matton, Dirk Van Compernolle, Ronald Cools:
Minimum classification error training in example based speech and pattern recognition using sparse weight matrices. J. Comput. Appl. Math. 234(4): 1303-1311 (2010) - [j39]Tim Pillards, Bart Vandewoestyne, Ronald Cools:
An adaptive approach to cube-based quasi-Monte Carlo integration on Rd. Math. Comput. Simul. 80(6): 1104-1117 (2010) - [j38]Bart Vandewoestyne, Ronald Cools:
On the convergence of quasi-random sampling/importance resampling. Math. Comput. Simul. 81(3): 490-505 (2010) - [j37]Bart Vandewoestyne, Hongmei Chi, Ronald Cools:
Computational investigations of scrambled Faure sequences. Math. Comput. Simul. 81(3): 522-535 (2010) - 2008
- [j36]Joris Van Deun, Ronald Cools:
Integrating products of Bessel functions with an additional exponential or rational factor. Comput. Phys. Commun. 178(8): 578-590 (2008) - [j35]Bart Vandewoestyne, Ronald Cools:
On obtaining higher order convergence for smooth periodic functions. J. Complex. 24(3): 328-340 (2008) - [j34]Daan Huybrechs, Ronald Cools:
On Generalized Gaussian Quadrature Rules for Singular and Nearly Singular Integrals. SIAM J. Numer. Anal. 47(1): 719-739 (2008) - 2007
- [j33]Bart Vandewoestyne, Ronald Cools, T. Warnock:
On obtaining quadratic and cubic error convergence using weighted Kronecker-sequences. Computing 80(1): 75-94 (2007) - [j32]George Takhtamyshev, Bart Vandewoestyne, Ronald Cools:
Quasi-random integration in high dimensions. Math. Comput. Simul. 73(5): 309-319 (2007) - [j31]Mathias De Wachter, Mike Matton, Kris Demuynck, Patrick Wambacq, Ronald Cools, Dirk Van Compernolle:
Template-Based Continuous Speech Recognition. IEEE Trans. Speech Audio Process. 15(4): 1377-1390 (2007) - 2006
- [j30]Jorge González, Francis Tuerlinckx, Paul De Boeck, Ronald Cools:
Numerical integration in logistic-normal models. Comput. Stat. Data Anal. 51(3): 1535-1548 (2006) - [j29]Dirk Nuyens, Ronald Cools:
Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points. J. Complex. 22(1): 4-28 (2006) - [j28]Ronald Cools, Richard B. Ivry, Mark D'Esposito:
The Human Striatum is Necessary for Responding to Changes in Stimulus Relevance. J. Cogn. Neurosci. 18(12): 1973-1983 (2006) - [j27]Dirk Nuyens, Ronald Cools:
Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces. Math. Comput. 75(254): 903-920 (2006) - [j26]Joris Van Deun, Ronald Cools:
A stable recurrence for the incomplete gamma function with imaginary second argument. Numerische Mathematik 104(4): 445-456 (2006) - [j25]Ronald Cools, Frances Y. Kuo, Dirk Nuyens:
Constructing Embedded Lattice Rules for Multivariate Integration. SIAM J. Sci. Comput. 28(6): 2162-2188 (2006) - [j24]Joris Van Deun, Ronald Cools:
Algorithm 858: Computing infinite range integrals of an arbitrary product of bessel functions. ACM Trans. Math. Softw. 32(4): 580-596 (2006) - 2005
- [j23]Tim Pillards, Ronald Cools:
A note on E. Thiémard's algorithm to compute bounds for the star discrepancy. J. Complex. 21(3): 320-323 (2005) - 2004
- [j22]Tim Pillards, Ronald Cools:
A theoretical view on transforming low-discrepancy sequences from a cube to a simplex. Monte Carlo Methods Appl. 10(3-4): 511-529 (2004) - 2003
- [j21]Ronald Cools, Hans Joachim Schmid:
On the (non)-existence of some cubature formulas: gaps between a theory and its applications. J. Complex. 19(3): 403-405 (2003) - [j20]Ronald Cools:
An encyclopaedia of cubature formulas. J. Complex. 19(3): 445-453 (2003) - [j19]Ronald Cools, Hilde Govaert:
Five- and six-dimensional lattice rules generated by structured matrices. J. Complex. 19(6): 715-729 (2003) - [j18]Ronald Cools:
Extrapolation and Adaptivity in Software for Automatic Numerical Integration on a Cube. Numer. Algorithms 34(2-4): 259-269 (2003) - [j17]Ronald Cools, Ann Haegemans:
Algorithm 824: CUBPACK: a package for automatic cubature; framework description. ACM Trans. Math. Softw. 29(3): 287-296 (2003) - [j16]Alan Genz, Ronald Cools:
An adaptive numerical cubature algorithm for simplices. ACM Trans. Math. Softw. 29(3): 297-308 (2003) - 2001
- [j15]Ronald Cools, James N. Lyness:
Three- and four-dimensional K-optimal lattice rules of moderate trigonometric degree. Math. Comput. 70(236): 1549-1567 (2001) - [j14]Ronald Cools, Erich Novak:
Spherical Product Algorithms and the Integration of Smooth Functions with One Singular Point. SIAM J. Numer. Anal. 39(4): 1132-1145 (2001) - 2000
- [j13]T. Michiels, Ronald Cools:
Decomposing the Secondary Cayley Polytope. Discret. Comput. Geom. 23(3): 367-380 (2000) - 1999
- [j12]Ronald Cools, Erich Novak, Klaus Ritter:
Smolyak's Construction of Cubature Formulas of Arbitrary Trigonometric Degree. Computing 62(2): 147-162 (1999) - 1998
- [j11]Ronald Cools, Bart Maerten:
A Hybrid Subdivision Strategy for Adaptive Integration. J. Univers. Comput. Sci. 4(5): 486-500 (1998) - 1997
- [j10]Ronald Cools, Andrew V. Reztsov:
Different Quality Indexes for Lattice Rules. J. Complex. 13(2): 235-258 (1997) - [j9]Ronald Cools, Luc Pluym, Dirk Laurie:
Algorithm 764: Cubpack++: A C++ Package for Automatic Two-Dimensional Cubature. ACM Trans. Math. Softw. 23(1): 1-15 (1997) - 1996
- [j8]Jan Verschelde, Karin Gatermann, Ronald Cools:
Mixed-Volume Computation by Dynamic Lifting Applied to Polynomial System Solving. Discret. Comput. Geom. 16(1): 69-112 (1996) - [j7]Ronald Cools, Ian H. Sloan:
Minimal cubature formulae of trigonometric degree. Math. Comput. 65(216): 1583-1600 (1996) - [j6]Ronald Cools, Petros Dellaportas:
The role of embedded integration rules in Bayesian statistics. Stat. Comput. 6(3): 245-250 (1996) - 1993
- [j5]Jan Verschelde, Ronald Cools:
Symbolic Homotopy Construction. Appl. Algebra Eng. Commun. Comput. 4: 169-183 (1993) - [j4]Jarle Berntsen, Ronald Cools, Terje O. Espelid:
Algorithm 720: An algorithm for adaptive cubature over a collection of 3-dimensional simplices. ACM Trans. Math. Softw. 19(3): 320-332 (1993) - 1989
- [j3]Ronald Cools, Hans Joachim Schmid:
Minimal cubature formulae of degree 2k-1 for two classical functionals. Computing 43(2): 141-157 (1989) - 1988
- [j2]Ronald Cools, Ann Haegemans:
Another step forward in searching for cubature formulae with a minimal number of knots for the square. Computing 40(2): 139-146 (1988) - [j1]Pierre Verlinden, Ronald Cools, Dirk Roose, Ann Haegemans:
The construction of cubature formulae for a family of integrals: A bifurcation problem. Computing 40(4): 337-346 (1988)
Conference and Workshop Papers
- 2008
- [c4]Mike Matton, Dirk Van Compernolle, Ronald Cools:
A minimum classification error based distance measure for template based speech recognition. INTERSPEECH 2008: 2386-2389 - 2006
- [c3]Tim Pillards, Ronald Cools:
Using Box-Muller with Low Discrepancy Points. ICCSA (5) 2006: 780-788 - [c2]Joris Van Deun, Ronald Cools:
A Matlab Implementation of an Algorithm for Computing Integrals of Products of Bessel Functions. ICMS 2006: 284-295 - 2004
- [c1]Mike Matton, Mathias De Wachter, Dirk Van Compernolle, Ronald Cools:
A discriminative locally weighted distance measure for speaker independent template based speech recognition. INTERSPEECH 2004: 429-432
Parts in Books or Collections
- 2020
- [p3]Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan:
Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters. 75 Years of Mathematics of Computation 2020 - 2005
- [p2]Ronald F. Boisvert, Ronald Cools, Bo Einarsson:
2. Assessment of Accuracy and Reliability. Accuracy and Reliability in Scientific Computing 2005: 13-32 - [p1]Ronald Cools:
3. Approximating Integrals, Estimating Errors, and Giving the Wrong Solution for a Deceptively Easy Problem. Accuracy and Reliability in Scientific Computing 2005: 33-42
Editorship
- 2016
- [e2]Ronald Cools, Dirk Nuyens:
Monte Carlo and Quasi-Monte Carlo Methods, MCQMC 2014, Leuven, Belgium, April 2014. Springer Proceedings in Mathematics and Statistics 163, Springer 2016, ISBN 978-3-319-33505-6 [contents] - 2009
- [e1]Adhemar Bultheel, Ronald Cools:
The Birth of Numerical Analysis. World Scientific 2009, ISBN 978-981-283-625-0 [contents]
Informal and Other Publications
- 2019
- [i3]Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan:
Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters. CoRR abs/1910.06604 (2019) - [i2]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. CoRR abs/1910.06606 (2019) - 2004
- [i1]Dirk Nuyens, Ronald Cools:
Fast Component-By-Component Construction of Rank-1 Lattice Rules for (Non-)Primes (Part II). Algorithms and Complexity for Continuous Problems 2004
Coauthor Index
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