4 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…