bayesian inference 1digital twins 1dimension truncation 1error analysis 1lognormal random fields 1output-feedback stabilization 1parameter identification 1parametric partial differential equations 1uncertain linear dynamics 1uncertainty quantification 1
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math.NA2026
On the optimality of dimension truncation error rates for a class of parametric partial differential equations
Philipp A. Guth, Vesa Kaarnioja
The paper analyzes the error introduced when infinite-dimensional random field inputs in parametric PDEs are truncated to finite dimensions, and proves that the known dimension‑tru…
math.NA2025
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…