By Emeritus Professor Ian Hugh Sloan

Journal articles

Hesse K; Kuo FY; Sloan IH, 2007, 'A component-by-component approach to efficient numerical integration over products of spheres', Journal of Complexity, 23, pp. 25 - 51, http://dx.doi.org/10.1016/j.jco.2006.08.001

Sloan IH; Sommariva A, 2007, 'Approximation on the sphere using radial basis functions plus polynomials', Advances in Computational Mathematics, Online

Wang X; Sloan IH, 2007, 'Brownian bridge and principal component analysis: towards removing the curse of dimensionality', IMA Journal of Numerical Analysis, 27, pp. 631 - 654

Ganesh M; Langdon S; Sloan IH, 2007, 'Efficient evaluation of highly oscillatory acoustic scattering surface integrals', Journal of Computational and Applied Mathematics, 204, pp. 363 - 374

Dick J; Kritzer P; Kuo FY; Sloan IH, 2007, 'Lattice-Nystrom method for Fredholm integral equations of the second kind with convolution type kernels', Journal of Complexity, 23, pp. 752 - 772

Kuo FY; Sloan IH; Wozniakowski H, 2007, 'Periodization strategy may fail in high dimensions', Numerical Algorithms, 46, pp. 369 - 391

Hesse K; Mhaskar H; Sloan IH, 2007, 'Quadrature in Besov spaces on the Euclidean sphere', Journal of Complexity, 23, pp. 528 - 552

Plaskota L; Sloan I, 2006, 'Guest Editors' preface', Journal of Complexity, 22, pp. 4, http://dx.doi.org/10.1016/j.jco.2006.09.001

Dahmen W; Geronimo J; Xin L; Pritsker I; Sloan I; Lubinsky D, 2006, 'Special volume on constructive function theory', Electronic Transactions on Numerical Analysis, 25

Hesse K; Sloan IH, 2006, 'Cubature over the sphere S2 in Sobolev spaces of arbitrary order', Journal of Approximation Theory, 141, pp. 118 - 133

Wang XJ; Sloan IH, 2006, 'Efficient weighted lattice rules with applications to finance', SIAM journal of scientific computation, 28, pp. 728 - 750

Dick J; Sloan IH; Wang XJ; Wozniakowski H, 2006, 'Good lattice rules in weighted Korobov spaces with general weights', Numerische Mathematik, 103, pp. 63 - 97

Grigorieff RD; Sloan IH, 2006, 'Qualocation for boundary integral equations', Journal of Integral Equations and Applications, 18, pp. 117 - 140

Waterhouse BJ; Kuo FY; Sloan IH, 2006, 'Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions', Journal of Complexity, 22, pp. 71 - 101, http://dx.doi.org/10.1016/j.jco.2005.06.004

Freeden W; Grafarend EW; Sloan IH; Svensson L, 2005, 'Geomathematik', Oberwolfach Reports, 1, pp. 1371 - 1448, http://dx.doi.org/10.4171/owr/2004/27

Hickernell FJ; Sloan IH; Wasilkowski GW, 2005, 'A piecewise constant algorithm for weighted L-1 approximation over bounded or unbounded regions in R-s', SIAM Journal on Numerical Analysis, 43, pp. 1003 - 1020

Dick J; Kuo FY; Pillichshammer F; Sloan IH, 2005, 'Construction algorithms for polynomial lattice rules for multivariate integration', Mathematics of Computation, 74, pp. 1895 - 1921

Grigorieff RD; Sloan IH, 2005, 'Discrete orthogonal projections on multiple knot periodic splines', Journal of Approximation Theory, 137, pp. 201 - 225

Kuo FY; Sloan IH, 2005, 'Lifting the curse of dimensionality', Notices of the American Mathematical Society, 52, pp. 1320 - 1328

Hesse K; Sloan IH, 2005, 'Optimal lower bounds for cubature error on the sphere S2', Journal of Complexity, 21, pp. 790 - 803, http://www.sciencedirect.com/science/article/B6WHX-4HG69P7-2/2/1185cd309417a6dbaa0b31b9f8fced07

Kuo FY; Sloan IH, 2005, 'Quasi-Monte Carlo methods can be efficient for integration over products of spheres', Journal of Complexity, 21, pp. 196 - 210

Mclean W; Sloan IH; Thomee V, 2005, 'Time discretization via Laplace transformation of an integro-differential equation of an integro-differential equation of parabolic type', Numerische Mathematik, 102, pp. 497 - 522

Wang XL; Sloan IH, 2005, 'Why are high-dimensional finance problems often of low effective dimension?', SIAM journal of scientific computation, 27, pp. 159 - 183

Hesse K; Sloan IH, 2005, 'Worst-case errors in a Sobolev space setting for cubature over the sphere S-2', Bulletin of the Australian Mathematical Society, 71, pp. 81 - 105

Sloan IH; Womersley RS, 2004, 'Extremal systems of points and numerical integration on the sphere', Advances in Computational Mathematics, 21, pp. 107 - 125

Sloan IH; Xiaoqun W; Wozniakowski H, 2004, 'Finite-order weights imply tractability of multivariate integration', Journal of Complexity, 20, pp. 46 - 74

Hesse K; Sloan IH, 2004, 'High order numerical ntegration on the sphere and extremal point sets', Journal of Computational Technologies, 9, pp. 4 - 12

Dick J; Sloan IH; Wang XJ; Wozniakowski H, 2004, 'Liberating the weights', Journal of Complexity, 20, pp. 593 - 623

Wang X; Sloan IH; Dick J, 2004, 'On Korobov lattice rules in weighted spaces', SIAM Journal on Numerical Analysis, 42, pp. 1760 - 1779

Hickernell FJ; Sloan IH; Wasilkowski GW, 2004, 'On strong tractability of weighted multivariate integration', Mathematics of Computation, 73, pp. 1903 - 1911

Hickernell FJ; Sloan IH; Wasilkowski GW, 2004, 'On tractability of weighted integration over bounded and unboundedregions in R-s', Mathematics of Computation, 73, pp. 1885 - 1901

Novak E; Sloan IH; Wozniakowski H, 2004, 'Tractability of approximation for weighted Korobov spaces on classical and quantum computers', Foundations of Computational Mathematics, 4, pp. 121 - 156

Sheen D; Sloan IH; Thomee V, 2003, 'A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature', IMA Journal of Numerical Analysis, 23, pp. 269 - 299

Sloan IH; Kuo FY; Joe S, 2002, 'Constructing randomly shifted lattice rules in weighted Sobolev spaces', SIAM Journal on Numerical Analysis, 40, pp. 1650 - 1665

Graham IG; Sloan IH, 2002, 'Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in R3', American Journal of Science, 92, pp. 289 - 323

Sloan IH; Womersley RS, 2002, 'Good approximation on the sphere, with application to geodesy and the scattering of sound', Journal of Computational and Applied Mathematics, 149, pp. 227 - 237

Sloan IH; Kuo FY; Joe S, 2002, 'On the step-by-step construction of Quasi-Monte Carlo integration rules that achieve strong tractability error bounds in weighted Sobolev spaces', Mathematics of Computation, 71, pp. 1609 - 1640

Sloan IH; Wozniakowski H, 2002, 'Tractability of integration in non-periodic and periodic weighted tenor product Hilbert spaces', Journal of Complexity, 18, pp. 479 - 499

Sloan IH; Reztsov AV, 2001, 'Component-by-component construction of good lattice rules', Mathematics of Computation, pp. 263 - 273

Womersley RS; Sloan IH, 2001, 'How good can polynomial interpolation on the sphere be?', Advances in Computational Mathematics, 14, pp. 195 - 226

Grigorieff RD; Sloan IH, 2001, 'On qualocation and collocation methods for singular integral equations with piecewise continuous coefficients, using continuous splines on quasi-uniform meshes', Operator theory: Advances and applications, 121, pp. 146 - 161

Tran T, 2001, 'The tolerant qualocation method for variable-coefficient equations on curves', Journal of Integral Equations and Applications, 13, pp. 73 - 98

Le Gia QT; Sloan IH, 2001, 'The uniform norm of hyperinterpolation on the unit sphere in an arbitrary number of dimensions', Constructive Approximation, 17, pp. 249 - 265

Sloan IH; Wozniakowski H, 2001, 'Tractability of multivariate integration for weighted Korobov classes', Journal of Complexity, 17, pp. 697 - 721

Sloan IH; Womersley RS, 2000, 'Constructive polynomial approximation on the sphere', Journal of Approximation Theory, 103, pp. 91 - 118

Sloan IH, 2000, 'Multiple integration is intractable but not hopeless', Journal of Australian Mathematical Society B, pp. 3 - 8

Sloan IH, 2000, 'Qualocation', Journal of Computational and Applied Mathematics, 125, pp. 461 - 478

Grigorieff RD; Sloan IH; Brandts JH, 2000, 'Superapproximation and commutator properties of discrete orthogonal projections for continuous splines', Journal of Approximation Theory, 107, pp. 244 - 267

Sheen D; Sloan IH; Thomee V, 1999, 'A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature', Mathematics of Computation, pp. 177 - 195

Sloan IH; Wendland W, 1999, 'Commutator properties for periodic splines', Journal of Approximation Theory, pp. 254 - 281

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