Approximate methods for stochastic eigenvalue problems. - Harri Hakula; Vesa Kaarnioja; Mikael Laaksonen (Appl. Math. Comput., 2015)

Polynomial Collocation for Handling an Inaccurately Known Measurement Configuration in Electrical Impedance Tomography. - Nuutti Hyvönen; Vesa Kaarnioja; Lauri Mustonen; Stratos Staboulis (SIAM J. Appl. Math., 2017)

A quasi-Monte Carlo Method for an Optimal Control Problem Under Uncertainty. - Philipp A. Guth; Vesa Kaarnioja; Frances Y. Kuo; Claudia Schillings; Ian H. Sloan (CoRR, 2019)

Uncertainty Quantification Using Periodic Random Variables. - Vesa Kaarnioja; Frances Y. Kuo; Ian H. Sloan (SIAM J. Numer. Anal., 2020)

Bounds on the spectrum of nonsingular triangular (0, 1)-matrices. - Vesa Kaarnioja (J. Comb. Theory A, 2021)

A Quasi-Monte Carlo Method for Optimal Control Under Uncertainty. - Philipp A. Guth; Vesa Kaarnioja; Frances Y. Kuo; Claudia Schillings; Ian H. Sloan (SIAM/ASA J. Uncertain. Quantification, 2021)

Quasi-Monte Carlo and discontinuous Galerkin. - Vesa Kaarnioja; Andreas Rupp (CoRR, 2022)

Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. - Vesa Kaarnioja; Yoshihito Kazashi; Frances Y. Kuo; Fabio Nobile; Ian H. Sloan (Numerische Mathematik, 2022)

Application of dimension truncation error analysis to high-dimensional function approximation. - Philipp A. Guth; Vesa Kaarnioja (CoRR, 2023)

Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions. - Vesa Kaarnioja; Frances Y. Kuo; Ian H. Sloan (CoRR, 2023)

Doubling the rate - improved error bounds for orthogonal projection in Hilbert spaces. - Ian H. Sloan; Vesa Kaarnioja (CoRR, 2023)

Quasi-Monte Carlo for Bayesian design of experiment problems governed by parametric PDEs. - Vesa Kaarnioja; Claudia Schillings (CoRR, 2024)

Quasi-Monte Carlo for partial differential equations with generalized Gaussian input uncertainty. - Philipp A. Guth; Vesa Kaarnioja (CoRR, 2024)

Uncertainty quantification for electrical impedance tomography using quasi-Monte Carlo methods. - Laura Bazahica; Vesa Kaarnioja; Lassi Roininen (CoRR, 2024)

Generalized Dimension Truncation Error Analysis for High-Dimensional Numerical Integration: Lognormal Setting and Beyond. - Philipp A. Guth; Vesa Kaarnioja (SIAM J. Numer. Anal., 2024)

Uncertainty quantification for random domains using periodic random variables. - Harri Hakula; Helmut Harbrecht; Vesa Kaarnioja; Frances Y. Kuo; Ian H. Sloan (Numerische Mathematik, 2024)

Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration. - Philipp A. Guth; Vesa Kaarnioja; Frances Y. Kuo; Claudia Schillings; Ian H. Sloan (Numerische Mathematik, 2024)

Explicit solutions of Genz test integrals. - Vesa Kaarnioja (Appl. Math. Lett., 2025)

Lattice Rules Meet Kernel Cubature. - Vesa Kaarnioja; Ilja Klebanov; Claudia Schillings; Yuya Suzuki (CoRR, 2025)

Uncertainty quantification for stationary and time-dependent PDEs subject to Gevrey regular random domain deformations. - Ana Djurdjevac; Vesa Kaarnioja; Claudia Schillings; André-Alexander Zepernick (CoRR, 2025)

Quasi-Monte Carlo for Bayesian shape inversion governed by the Poisson problem subject to Gevrey regular domain deformations. - Ana Djurdjevac; Vesa Kaarnioja; Max Orteu; Claudia Schillings (CoRR, 2025)