Select Publications
Preprints
2017, High dimensional integration of kinks and jumps -- smoothing by preintegration, , http://dx.doi.org/10.48550/arxiv.1712.00920
,2017, Combining sparse grids, multilevel MC and QMC for elliptic PDEs with random coefficients, , http://dx.doi.org/10.48550/arxiv.1711.02437
,2017, Circulant embedding with QMC -- analysis for elliptic PDE with lognormal coefficients, , http://dx.doi.org/10.48550/arxiv.1710.09254
,2017, Analysis of circulant embedding methods for sampling stationary random fields, , http://dx.doi.org/10.48550/arxiv.1710.00751
,2017, On the expected uniform error of Brownian motion approximated by the Lévy-Ciesielski construction, , http://dx.doi.org/10.48550/arxiv.1706.00915
,2017, Fast random field generation with $H$-matrices, , http://dx.doi.org/10.48550/arxiv.1702.08637
,2015, Needlet approximation for isotropic random fields on the sphere, , http://dx.doi.org/10.48550/arxiv.1512.07790
,2015, Random Point Sets on the Sphere --- Hole Radii, Covering, and Separation, , http://dx.doi.org/10.48550/arxiv.1512.07470
,2015, Riemann localisation on the sphere, , http://dx.doi.org/10.48550/arxiv.1510.06834
,2015, On filtered polynomial approximation on the sphere, , http://arxiv.org/abs/1509.03792v1
,2015, Multilevel Quasi-Monte Carlo Methods for Lognormal Diffusion Problems, , http://dx.doi.org/10.48550/arxiv.1507.01090
,2015, Fully discrete needlet approximation on the sphere, , http://dx.doi.org/10.48550/arxiv.1502.05806
,2015, Infinite-dimensional integration and the multivariate decomposition method, , http://dx.doi.org/10.48550/arxiv.1501.05445
,2015, Parameter choice strategies for least-squares approximation of noisy smooth functions on the sphere, , http://arxiv.org/abs/1501.02090v1
,2015, Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions, , http://arxiv.org/abs/1501.00362v1
,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
,2014, Zooming from Global to Local: A Multiscale RBF Approach, , http://dx.doi.org/10.48550/arxiv.1406.1333
,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
,2012, QMC designs: optimal order Quasi Monte Carlo Integration schemes on the sphere, , http://dx.doi.org/10.48550/arxiv.1208.3267
,2012, Wendland functions with increasing smoothness converge to a Gaussian, , http://dx.doi.org/10.48550/arxiv.1203.5696
,2010, Stability and preconditioning for a hybrid approximation on the sphere, , http://dx.doi.org/10.48550/arxiv.1009.4275
,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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