22 citations · 99 across the 35 of their papers we have counts for
51 papers
An Elementary Perspective on the Dirac Equation and its Closest Relatives
Rainer Picard, Sascha Trostorff, Marcus Waurick
We consider the Dirac equation in a real setting to show its close relationship to Maxwell's equation. In addition to analysing the classical Dirac mass term, we also inspect the a…
Numerical Treatment of Non-local Integral Operators in the Framework of Evolutionary Equations
Sebastian Franz, Sascha Trostorff
Using the theory of evolutionary equations, we consider abstract differential equations including non-local integral operators. After providing a condition for the well-posedness o…
Spatial Approximation for Evolutionary Equations
Andreas Buchinger, Christian Seifert, Sascha Trostorff +1
We consider evolutionary equations as introduced by R.\ Picard in 2009 and develop a general theory for approximation which can be seen as a theoretical foundation for numerical an…
Computational modelling of bone growth and mineralization surrounding biodegradable Mg-based and permanent Ti implants
Nik Pohl, Domenik Priebe, Tamadur AlBaraghtheh +7
In silico testing of implant materials is a research area of high interest, as cost- and labour-intensive experiments may be omitted. However, assessing the tissue-material interac…
Adjoints of sums of m-accretive operators and applications to non-autonomous evolutionary equations
Rainer Picard, Sascha Trostorff, Marcus Waurick
We provide certain compatibility conditions for m-accretive operators such that the adjoint of the sum is given by the closure of the sum of the respective adjoint. We revisit the…
M-Accretivity via Boundary Systems
Sascha Trostorff
We consider skew-symmetric operators on a Hilbert space and study m-accretive restrictions of their negative adjoints. Using the theory of boundary systems, we provide a full chara…