104 citations · 358 across the 47 of their papers we have counts for
3 papers · 1 filter
Pseudospectrum enclosures by discretization
Andreas Frommer, Birgit Jacob, Lukas Vorberg +2
A new method to enclose the pseudospectrum via the numerical range of the inverse of a matrix or linear operator is presented. The method is applied to finite-dimensional discretiz…
Numerical Range and Quadratic Numerical Range for Damped Systems
Birgit Jacob, Christiane Tretter, Carsten Trunk +1
We prove new enclosures for the spectrum of non-selfadjoint operator matrices associated with second order linear differential equations $\ddot{z}(t) + D \dot{z} (t) + A_0 z(t) = 0…
Analyticity and Riesz basis property of semigroups associated to damped vibrations
Birgit Jacob, Carsten Trunk, Monika Winklmeier
Second order equations of the form in an abstract Hilbert space are considered. Such equations are often used as a model for transverse motions of thin beams…