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Preprints

Hamann J; Gia QTL; Sloan IH; Womersley RS, 2023, Removing the mask -- reconstructing a scalar field on the sphere from a masked field, , http://arxiv.org/abs/2309.14815v1

Sloan IH; Kaarnioja V, 2023, Doubling the rate -- improved error bounds for orthogonal projection with application to numerical analysis, , http://arxiv.org/abs/2308.06052v2

Kuo FY; Mo W; Nuyens D; Sloan IH; Srikumar A, 2023, Comparison of Two Search Criteria for Lattice-based Kernel Approximation, , http://arxiv.org/abs/2304.01685v1

Kaarnioja V; Kuo FY; Sloan IH, 2023, Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions, , http://arxiv.org/abs/2303.17755v2

Gilbert AD; Kuo FY; Sloan IH; Srikumar A, 2022, Theory and construction of Quasi-Monte Carlo rules for option pricing and density estimation, , http://arxiv.org/abs/2212.11493v2

Alodat T; Gia QTL; Sloan IH, 2022, On approximation for time-fractional stochastic diffusion equations on the unit sphere, , http://arxiv.org/abs/2212.05690v3

Hakula H; Harbrecht H; Kaarnioja V; Kuo FY; Sloan IH, 2022, Uncertainty quantification for random domains using periodic random variables, , http://arxiv.org/abs/2210.17329v2

Hakula H; Harbrecht H; Kaarnioja V; Kuo FY; Sloan IH, 2022, Uncertainty quantification for random domains using periodic random variables, , http://dx.doi.org/10.48550/arxiv.2210.17329

Guth PA; Kaarnioja V; Kuo FY; Schillings C; Sloan IH, 2022, Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration, , http://dx.doi.org/10.1007/s00211-024-01397-9

Brauchart JS; Grabner PJ; Sloan IH; Womersley RS, 2022, Needlets Liberated, , http://arxiv.org/abs/2207.12838v1

Gilbert AD; Kuo FY; Sloan IH, 2021, Preintegration is not smoothing when monotonicity fails, , http://arxiv.org/abs/2112.11621v1

Gilbert AD; Kuo FY; Sloan IH, 2021, Analysis of preintegration followed by quasi-Monte Carlo integration for distribution functions and densities, , http://arxiv.org/abs/2112.10308v5

Hartung T; Jansen K; Kuo FY; Leövey H; Nuyens D; Sloan IH, 2021, Lattice field computations via recursive numerical integration, , http://arxiv.org/abs/2112.05069v1

Gilbert AD; Kuo FY; Sloan IH, 2021, Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on $\mathbb{R}^d$, , http://dx.doi.org/10.48550/arxiv.2103.16075

Hartung T; Jansen K; Kuo FY; Leövey H; Nuyens D; Sloan IH, 2020, Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory, , http://dx.doi.org/10.48550/arxiv.2011.05451

Kaarnioja V; Kazashi Y; Kuo FY; Nobile F; Sloan IH, 2020, Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification, , http://dx.doi.org/10.48550/arxiv.2007.06367

Ganesh M; Kuo FY; Sloan IH, 2020, Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media, , http://dx.doi.org/10.48550/arxiv.2004.12268

Hamann J; Gia QTL; Sloan IH; Wang YG; Womersley RS, 2019, A New Probe of Gaussianity and Isotropy applied to the CMB Maps, , http://dx.doi.org/10.48550/arxiv.1911.11442

Guth PA; Kaarnioja V; Kuo FY; Schillings C; Sloan IH, 2019, A quasi-Monte Carlo Method for an Optimal Control Problem Under Uncertainty, , http://dx.doi.org/10.48550/arxiv.1910.10022

Cools R; Kuo FY; Nuyens D; Sloan IH, 2019, Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights, , http://dx.doi.org/10.48550/arxiv.1910.06606

Cools R; Kuo FY; Nuyens D; Sloan IH, 2019, Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters, , http://dx.doi.org/10.48550/arxiv.1910.06604

Kazashi Y; Kuo FY; Sloan IH, 2019, Derandomised lattice rules for high dimensional integration, , http://dx.doi.org/10.48550/arxiv.1903.05145

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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