Andr'e-Alexander Zepernick

collaborators

2 papers

math.CO2025

New upper and lower bounds on the smallest singular values of nonsingular lower triangular $(0, 1)$ -matrices

Vesa Kaarnioja, André-Alexander Zepernick

Let $K_{n}$ denote the set of all nonsingular $n \times n$ lower triangular $(0, 1)$ -matrices. Hong and Loewy (2004) introduced the number sequence $$ c_n=\min\{λ\midλ~\text{is an eige…

math.NA2025

Uncertainty quantification for stationary and time-dependent PDEs subject to Gevrey regular random domain deformations

Ana Djurdjevac, Vesa Kaarnioja, Claudia Schillings +1

We study uncertainty quantification for partial differential equations subject to domain uncertainty. We parameterize the random domain using the model recently considered by Chern…

New upper and lower bounds on the smallest singular values of nonsingular lower triangular (0,1)-matrices

Uncertainty quantification for stationary and time-dependent PDEs subject to Gevrey regular random domain deformations

New upper and lower bounds on the smallest singular values of nonsingular lower triangular $(0, 1)$ -matrices