15 citations · 34 across the 19 of their papers we have counts for
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math.NA2024
Uncertainty quantification for electrical impedance tomography using quasi-Monte Carlo methods
Laura Bazahica, Vesa Kaarnioja, Lassi Roininen
The theoretical development of quasi-Monte Carlo (QMC) methods for uncertainty quantification of partial differential equations (PDEs) is typically centered around simplified model…
math.NA2024
Quasi-Monte Carlo for partial differential equations with generalized Gaussian input uncertainty
Philipp A. Guth, Vesa Kaarnioja
There has been a surge of interest in uncertainty quantification for parametric partial differential equations (PDEs) with Gevrey regular inputs. The Gevrey class contains function…
math.NA2024
Quasi-Monte Carlo for Bayesian design of experiment problems governed by parametric PDEs
Vesa Kaarnioja, Claudia Schillings
This paper contributes to the study of optimal experimental design for Bayesian inverse problems governed by partial differential equations (PDEs). We derive estimates for the para…