A quasi-Monte Carlo method for optimal control under uncertainty PA Guth, V Kaarnioja, FY Kuo, C Schillings, IH Sloan SIAM/ASA Journal on Uncertainty Quantification 9 (2), 354-383, 2021 | 36 | 2021 |
Approximate methods for stochastic eigenvalue problems H Hakula, V Kaarnioja, M Laaksonen Applied Mathematics and Computation 267, 664-681, 2015 | 24 | 2015 |
Smolyak quadrature V Kaarnioja University of Helsinki, Department of Mathematics and Statistics, 2013 | 23 | 2013 |
Polynomial collocation for handling an inaccurately known measurement configuration in electrical impedance tomography N Hyvönen, V Kaarnioja, L Mustonen, S Staboulis SIAM Journal on Applied Mathematics 77 (1), 202-223, 2017 | 17 | 2017 |
Uncertainty quantification using periodic random variables V Kaarnioja, FY Kuo, IH Sloan SIAM Journal on Numerical Analysis 58 (2), 1068-1091, 2020 | 15 | 2020 |
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration PA Guth, V Kaarnioja, FY Kuo, C Schillings, IH Sloan Numerische Mathematik, 1-44, 2024 | 14 | 2024 |
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification V Kaarnioja, Y Kazashi, FY Kuo, F Nobile, IH Sloan Numerische Mathematik, 1-45, 2022 | 13 | 2022 |
A quasi-Monte Carlo method for an optimal control problem under uncertainty PA Guth, V Kaarnioja, FY Kuo, C Schillings, IH Sloan arXiv preprint arXiv:1910.10022, 2019 | 10 | 2019 |
Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions V Kaarnioja, FY Kuo, IH Sloan arXiv preprint arXiv:2303.17755, 2023 | 4 | 2023 |
Generalized dimension truncation error analysis for high-dimensional numerical integration: lognormal setting and beyond PA Guth, V Kaarnioja SIAM Journal on Numerical Analysis 62 (2), 872-892, 2024 | 3 | 2024 |
Uncertainty quantification for random domains using periodic random variables H Hakula, H Harbrecht, V Kaarnioja, FY Kuo, IH Sloan Numerische Mathematik 156 (1), 273-317, 2024 | 3 | 2024 |
Generalized eigenvalue problems for meet and join matrices on semilattices P Ilmonen, V Kaarnioja Linear Algebra and its Applications 536, 250-273, 2018 | 3 | 2018 |
Computation of extremal eigenvalues of high-dimensional lattice-theoretic tensors via tensor-train decompositions H Hakula, P Ilmonen, V Kaarnioja arXiv preprint arXiv:1705.05163, 2017 | 3 | 2017 |
Bounds on the spectrum of nonsingular triangular (0, 1)-matrices V Kaarnioja Journal of Combinatorial Theory, Series A 178, 105353, 2021 | 2 | 2021 |
Cylindrical shell with junctions: uncertainty quantification of free vibration and frequency response analysis H Hakula, V Kaarnioja, M Laaksonen Shock and Vibration 2018, 1-16, 2018 | 2 | 2018 |
On sparse tensor structures in lattice theory and applications of the polynomial collocation method based on sparse grids V Kaarnioja Aalto University, 2017 | 2 | 2017 |
Recovering from an inaccurately known measurement configuration via polynomial collocation in electrical impedance tomography N Hyvönen, V Kaarnioja, L Mustonen, S Staboulis SIAM Journal on Applied Mathematics, 2016 | 1 | 2016 |
On applying the maximum volume principle to a basis selection problem in multivariate polynomial interpolation V Kaarnioja arXiv preprint arXiv:1512.07424, 2015 | 1 | 2015 |
Quasi-Monte Carlo for Bayesian design of experiment problems governed by parametric PDEs V Kaarnioja, C Schillings arXiv preprint arXiv:2405.03529, 2024 | | 2024 |
Application of dimension truncation error analysis to high-dimensional function approximation To appear in: 2022. Springer Verlag, 2024. PA Guth, V Kaarnioja Springer Verlag, 2024 | | 2024 |