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Group by: Date | Item Type Number of items: 15. 2025Kaarnioja, Vesa (2025) Explicit solutions of Genz test integrals. Applied Mathematics Letters, 163 . ISSN 08939659 Kaarnioja, Vesa and Sloan, Ian H. (2025) Doubling the rate: improved error bounds for orthogonal projection with application to interpolation. To appear in BIT Numerical Mathematics, 2025. BIT Numerical Mathematics, 65 (10). Kaarnioja, Vesa and Klebanov, Ilja and Schillings, Claudia (2025) Lattice Rules Meet Kernel Cubature. arXiv:2501.09500 . (Submitted) 2024Kaarnioja, Vesa and Rupp, Andreas (2024) Quasi-Monte Carlo and Discontinuous Galerkin. ETNA - Electronic Transactions on Numerical Analysis, 60 . pp. 589-617. ISSN 1068-9613 Guth, Philipp A. and Kaarnioja, Vesa (2024) Application of Dimension Truncation Error Analysis to High-Dimensional Function Approximation in Uncertainty Quantification. Monte Carlo and Quasi-Monte Carlo Methods 2022, 460 . pp. 297-312. ISSN 978-3-031-59761-9 Kaarnioja, Vesa and Kuo, Frances Y. and Sloan, Ian H. (2024) Lattice-Based Kernel Approximation and Serendipitous Weights for Parametric PDEs in Very High Dimensions. Monte Carlo and Quasi-Monte Carlo Methods, 460 . pp. 81-103. ISSN 978-3-031-59761-9 Kaarnioja, Vesa and Kuo, Frances Y. and Sloan, Ian H. (2024) Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions. In: Monte Carlo and Quasi-Monte Carlo Methods 2022. Springer Proceedings in Mathematics & Statistics, 460 (460). Springer Verlag, pp. 81-103. ISBN 978-3-031-59761-9 Guth, Philipp A. and Kaarnioja, Vesa and Kuo, Frances Y. and Schillings, Claudia and Sloan, Ian H. (2024) Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration. Numerische Mathematik, 156 . pp. 565-608. Guth, Philipp A. and Kaarnioja, Vesa (2024) Application of dimension truncation error analysis to high-dimensional function approximation To appear in: 2022. Springer Verlag, 2024. In: Monte Carlo and Quasi-Monte Carlo Methods. Springer Verlag. (Submitted) Guth, Philipp A. and Kaarnioja, Vesa (2024) Generalized Dimension Truncation Error Analysis for High-Dimensional Numerical Integration: Lognormal Setting and Beyond. SIAM Journal on Numerical Analysis, 62 (2). pp. 872-608892. Guth, Philipp A. and Kaarnioja, Vesa (2024) Generalized dimension truncation error analysis for high-dimensional numerical integration: lognormal setting and beyond. to appear in SIAM Journal on Numerical Analysis . (Submitted) Kaarnioja, Vesa and Rupp, Andreas (2024) Quasi-Monte Carlo and discontinuous Galerkin. arXiv . (Submitted) Guth, Philipp A. and Kaarnioja, Vesa (2024) Uncertainty quantification for random domains using periodic random variables. Numerische Mathematik, 156 . pp. 273-317. 2021Guth, Philipp A. and Kaarnioja, Vesa and Kuo, Frances Y. and Schillings, Claudia and Sloan, Ian H. (2021) A Quasi-Monte Carlo Method for Optimal Control Under Uncertainty. SIAM/ASA Journal on Uncertainty Quantification, 9 (2). pp. 354-383. 2019Guth, Philipp A. and Kaarnioja, Vesa and Kuo, Frances Y. and Schillings, Claudia and Sloan, Ian H. (2019) A quasi-Monte Carlo method for an optimal control problem under uncertainty. ArXiv . |