By Emeritus Professor Ian Hugh Sloan

Preprints

Gilbert AD; Graham IG; Scheichl R; Sloan IH, 2019, Bounding the spectral gap for an elliptic eigenvalue problem with uniformly bounded stochastic coefficients, http://arxiv.org/abs/1901.10470v1

Kazashi Y; Kuo FY; Sloan IH, 2018, Worst-case error for unshifted lattice rules without randomisation, http://arxiv.org/abs/1811.05676v1

Gilbert AD; Kuo FY; Sloan IH, 2018, Hiding the weights -- CBC black box algorithms with a guaranteed error bound, http://dx.doi.org/10.48550/arxiv.1810.03394

Gilbert AD; Graham IG; Kuo FY; Scheichl R; Sloan IH, 2018, Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients, http://dx.doi.org/10.48550/arxiv.1808.02639

Gia QTL; Sloan IH; Womersley RS; Wang YG, 2018, Sparse Isotropic Regularization for Spherical Harmonic Representations of Random Fields on the Sphere, http://dx.doi.org/10.48550/arxiv.1801.03212

Griewank A; Kuo FY; Leövey H; Sloan IH, 2017, High dimensional integration of kinks and jumps -- smoothing by preintegration, http://dx.doi.org/10.48550/arxiv.1712.00920

Giles MB; Kuo FY; Sloan IH, 2017, Combining sparse grids, multilevel MC and QMC for elliptic PDEs with random coefficients, http://dx.doi.org/10.48550/arxiv.1711.02437

Graham IG; Kuo FY; Nuyens D; Scheichl R; Sloan IH, 2017, Circulant embedding with QMC -- analysis for elliptic PDE with lognormal coefficients, http://dx.doi.org/10.48550/arxiv.1710.09254

Graham IG; Kuo FY; Nuyens D; Scheichl R; Sloan IH, 2017, Analysis of circulant embedding methods for sampling stationary random fields, http://dx.doi.org/10.48550/arxiv.1710.00751

Brown B; Griebel M; Kuo FY; Sloan IH, 2017, On the expected uniform error of Brownian motion approximated by the Lévy-Ciesielski construction, http://dx.doi.org/10.48550/arxiv.1706.00915

Feischl M; Kuo F; Sloan IH, 2017, Fast random field generation with $H$-matrices, http://dx.doi.org/10.48550/arxiv.1702.08637

Gia QTL; Sloan IH; Wang YG; Womerlsey RS, 2015, Needlet approximation for isotropic random fields on the sphere, http://dx.doi.org/10.48550/arxiv.1512.07790

Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2015, Random Point Sets on the Sphere --- Hole Radii, Covering, and Separation, http://dx.doi.org/10.48550/arxiv.1512.07470

Wang YG; Sloan IH; Womersley RS, 2015, Riemann localisation on the sphere, http://dx.doi.org/10.48550/arxiv.1510.06834

Wang H; Sloan IH, 2015, On filtered polynomial approximation on the sphere, http://arxiv.org/abs/1509.03792v1

Kuo FY; Scheichl R; Schwab C; Sloan IH; Ullmann E, 2015, Multilevel Quasi-Monte Carlo Methods for Lognormal Diffusion Problems, http://dx.doi.org/10.48550/arxiv.1507.01090

Wang YG; Gia QTL; Sloan IH; Womersley RS, 2015, Fully discrete needlet approximation on the sphere, http://dx.doi.org/10.48550/arxiv.1502.05806

Kuo FY; Nuyens D; Plaskota L; Sloan IH; Wasilkowski GW, 2015, Infinite-dimensional integration and the multivariate decomposition method, http://dx.doi.org/10.48550/arxiv.1501.05445

Pereverzyev SV; Sloan IH; Tkachenko P, 2015, Parameter choice strategies for least-squares approximation of noisy smooth functions on the sphere, http://arxiv.org/abs/1501.02090v1

Cao H; Pereverzyev SV; Sloan IH; Tkachenko P, 2015, Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions, http://arxiv.org/abs/1501.00362v1

Brauchart JS; Dick J; Saff EB; Sloan IH; Wang YG; Womersley RS, 2014, Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces, http://dx.doi.org/10.48550/arxiv.1407.8311

Gia QTL; Sloan IH; Wendland H, 2014, Zooming from Global to Local: A Multiscale RBF Approach, http://dx.doi.org/10.48550/arxiv.1406.1333

Kuo FY; Schwab C; Sloan IH, 2012, Multi-level quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients, http://dx.doi.org/10.48550/arxiv.1208.6349

Brauchart JS; Saff EB; Sloan IH; Womersley RS, 2012, QMC designs: optimal order Quasi Monte Carlo Integration schemes on the sphere, http://dx.doi.org/10.48550/arxiv.1208.3267

Chernih A; Sloan IH; Womersley RS, 2012, Wendland functions with increasing smoothness converge to a Gaussian, http://dx.doi.org/10.48550/arxiv.1203.5696

Gia QTL; Sloan IH; Wathen AJ, 2010, Stability and preconditioning for a hybrid approximation on the sphere, http://dx.doi.org/10.48550/arxiv.1009.4275

Ganesh M; Gia QTL; Sloan IH, 2010, A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres, http://dx.doi.org/10.48550/arxiv.1009.3308

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