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Viewing Publication 1 - 53 from 53

2021

Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weightsRonald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan. moc, 90(328):787-812, 2021. [doi]

2020

Lattice algorithms for multivariate approximation in periodic spaces with general weight parametersRonald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan. In Susanne C. Brenner, Igor E. Shparlinski, Chi-Wang Shu, Daniel B. Szyld, editors, 75 Years of Mathematics of Computation. Volume 754 of Contemporary Mathematics, American Mathematical Society, 2020. [doi]

2016

Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functionsRonald Cools, Frances Y. Kuo, Dirk Nuyens, Gowri Suryanarayana. jc, 36:166-181, 2016. [doi]

2013

Conditional Sampling for Barrier Option Pricing under the LT MethodNico Achtsis, Ronald Cools, Dirk Nuyens. siamfm, 4(1):327-352, 2013. [doi]

Extended exponentially fitted interpolation formulas for oscillatory functionsKyung-Joong Kim, Ronald Cools. amc, 224:178-195, 2013. [doi]

CHEBINT: A MATLAB/Octave toolbox for fast multivariate integration and interpolation based on chebyshev approximations over hypercubesKoen Poppe, Ronald Cools. TOMS, 40(1):2, 2013. [doi]

2011

Extremal lattices and the construction of lattice rulesNikolay N. Osipov, Ronald Cools, Michael V. Noskov. amc, 217(9):4397-4407, 2011. [doi]

2010

2008

2007

Quasi-random integration in high dimensionsGeorge Takhtamyshev, Bart Vandewoestyne, Ronald Cools. mcs, 73(5):309-319, 2007. [doi]

On obtaining quadratic and cubic error convergence using weighted Kronecker-sequencesBart Vandewoestyne, Ronald Cools, T. Warnock. computing, 80(1):75-94, 2007. [doi]

2006

Constructing Embedded Lattice Rules for Multivariate IntegrationRonald Cools, Frances Y. Kuo, Dirk Nuyens. siamsc, 28(6):2162-2188, 2006. [doi]

Algorithm 858: Computing infinite range integrals of an arbitrary product of bessel functionsJoris Van Deun, Ronald Cools. TOMS, 32(4):580-596, 2006. [doi]

A Matlab Implementation of an Algorithm for Computing Integrals of Products of Bessel FunctionsJoris Van Deun, Ronald Cools. icms 2006: 284-295 [doi]

A stable recurrence for the incomplete gamma function with imaginary second argumentJoris Van Deun, Ronald Cools. nm, 104(4):445-456, 2006. [doi]

Numerical integration in logistic-normal modelsJorge González, Francis Tuerlinckx, Paul De Boeck, Ronald Cools. csda, 51(3):1535-1548, 2006. [doi]

Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spacesDirk Nuyens, Ronald Cools. moc, 75(254):903-920, 2006. [doi]

Fast component-by-component construction of rank-1 lattice rules with a non-prime number of pointsDirk Nuyens, Ronald Cools. jc, 22(1):4-28, 2006. [doi]

Using Box-Muller with Low Discrepancy PointsTim Pillards, Ronald Cools. iccsa 2006: 780-788 [doi]

2005

2. Assessment of Accuracy and ReliabilityRonald F. Boisvert, Ronald Cools, Bo Einarsson. In Bo Einarsson, editor, Accuracy and Reliability in Scientific Computing. Volume 18 of Software, Environments, Tools, pages 13-32, SIAM, 2005. [doi]

3. Approximating Integrals, Estimating Errors, and Giving the Wrong Solution for a Deceptively Easy ProblemRonald Cools. In Bo Einarsson, editor, Accuracy and Reliability in Scientific Computing. Volume 18 of Software, Environments, Tools, pages 33-42, SIAM, 2005. [doi]

A note on E. Thiémard s algorithm to compute bounds for the star discrepancyTim Pillards, Ronald Cools. jc, 21(3):320-323, 2005. [doi]

2004

A discriminative locally weighted distance measure for speaker independent template based speech recognitionMike Matton, Mathias De Wachter, Dirk Van Compernolle, Ronald Cools. interspeech 2004: 429-432 [doi]

Fast Component-By-Component Construction of Rank-1 Lattice Rules for (Non-)Primes (Part II)Dirk Nuyens, Ronald Cools. Dagstuhl 2005: [doi]

A theoretical view on transforming low-discrepancy sequences from a cube to a simplexTim Pillards, Ronald Cools. mcma, 10(3-4):511-529, 2004. [doi]

2003

An encyclopaedia of cubature formulasRonald Cools. jc, 19(3):445-453, 2003. [doi]

Five- and six-dimensional lattice rules generated by structured matricesRonald Cools, Hilde Govaert. jc, 19(6):715-729, 2003. [doi]

On the (non)-existence of some cubature formulas: gaps between a theory and its applicationsRonald Cools, Hans Joachim Schmid. jc, 19(3):403-405, 2003. [doi]

Algorithm 824: ::::CUBPACK::::: a package for automatic cubature; framework descriptionRonald Cools, Ann Haegemans. TOMS, 29(3):287-296, 2003. [doi]

Extrapolation and Adaptivity in Software for Automatic Numerical Integration on a CubeRonald Cools. na, 34(2-4):259-269, 2003. [doi]

An adaptive numerical cubature algorithm for simplicesAlan Genz, Ronald Cools. TOMS, 29(3):297-308, 2003. [doi]

2001

Three- and four-dimensional K-optimal lattice rules of moderate trigonometric degreeRonald Cools, James N. Lyness. moc, 70(236):1549-1567, 2001.

Spherical Product Algorithms and the Integration of Smooth Functions with One Singular PointRonald Cools, Erich Novak. siamnum, 39(4):1132-1145, 2001. [doi]

2000

Decomposing the Secondary Cayley PolytopeT. Michiels, Ronald Cools. dcg, 23(3):367-380, 2000. [doi]

1999

Smolyak s Construction of Cubature Formulas of Arbitrary Trigonometric DegreeRonald Cools, Erich Novak, Klaus Ritter. computing, 62(2):147-162, 1999. [doi]

1998

A Hybrid Subdivision Strategy for Adaptive IntegrationRonald Cools, Bart Maerten. jucs, 4(5):486-500, 1998. [doi]

1997

Different Quality Indexes for Lattice RulesRonald Cools, Andrew V. Reztsov. jc, 13(2):235-258, 1997. [doi]

Algorithm 764: Cubpack++: A C++ Package for Automatic Two-Dimensional CubatureRonald Cools, Luc Pluym, Dirk Laurie. TOMS, 23(1):1-15, 1997. [doi]

1996

The role of embedded integration rules in Bayesian statisticsRonald Cools, Petros Dellaportas. sac, 6(3):245-250, 1996. [doi]

Minimal cubature formulae of trigonometric degreeRonald Cools, Ian H. Sloan. moc, 65(216):1583-1600, 1996.

Mixed-Volume Computation by Dynamic Lifting Applied to Polynomial System SolvingJan Verschelde, Karin Gatermann, Ronald Cools. dcg, 16(1):69-112, 1996. [doi]

1993

Algorithm 720: An algorithm for adaptive cubature over a collection of 3-dimensional simplicesJarle Berntsen, Ronald Cools, Terje O. Espelid. TOMS, 19(3):320-332, 1993. [doi]

Symbolic Homotopy ConstructionJan Verschelde, Ronald Cools. aaecc, 4:169-183, 1993.

1989

k-1 for two classical functionalsRonald Cools, Hans Joachim Schmid. computing, 43(2):141-157, 1989. [doi]

1988

Another step forward in searching for cubature formulae with a minimal number of knots for the squareRonald Cools, Ann Haegemans. computing, 40(2):139-146, 1988. [doi]

The construction of cubature formulae for a family of integrals: A bifurcation problemPierre Verlinden, Ronald Cools, Dirk Roose, Ann Haegemans. computing, 40(4):337-346, 1988. [doi]

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