4 citations · 5 across the 5 of their papers we have counts for
7 papers
A note on the convergence of the eigenvalues in a subdomain to the continuous spectrum
Miroslav Bulíček, Bjørn Fredrik Nielsen, Zdeněk Strakoš
The SIGEST paper Nielsen and Strakoš (2024) characterized the spectrum of the preconditioned operator in a bounded open two-dimensional domain $Ω…
Numerical approximation of the spectrum of self-adjoint continuously invertible operators
Tomáš Gergelits, Bjørn Fredrik Nielsen, Zdeněk Strakoš
This paper deals with the generalized spectrum of continuously invertible linear operators defined on infinite dimensional Hilbert spaces. More precisely, we consider two bounded,…
Modified Tikhonov regularization for identifying several sources
Ole Løseth Elvetun, Bjørn Fredrik Nielsen
We study whether a modified version of Tikhonov regularization can be used to identify several local sources from Dirichlet boundary data for a prototypical elliptic PDE. This pape…
A regularization operator for source identification for elliptic PDEs
Ole Løseth Elvetun, Bjørn Fredrik Nielsen
We study a source identification problem for a prototypical elliptic PDE from Dirichlet boundary data. This problem is ill-posed, and the involved forward operator has a significan…
Generalized spectrum of second order differential operators
Tomáš Gergelits, Bjørn Fredrik Nielsen, Zdeněk Strakoš
We analyze the spectrum of the operator , where denotes the Laplacian and is a symmetric tensor. Our main result shows that this s…
Regularization of ill-posed point neuron models
Bjørn Fredrik Nielsen
Point neuron models with a Heaviside firing rate function can be ill-posed. That is, the initial-condition-to-solution map might become discontinuous in finite time. If a Lipschitz…