Christoph Kirsch

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A Dirichlet-to-Neumann (DtN) condition is derived for the numerical solution of time-harmonic multiple scattering problems, where the scatterer consists of several disjoint components. It is obtained by combining contributions from multiple purely outgoing wave fields. The DtN condition yields an exact nonreflecting boundary condition for the situation,(More)
Increasing needs for optimized designs and for handling the dependencies among control systems and their real-time implementation, cause a resulting need for tools that have the abilities to support design across these traditional discipline boundaries. Tools supporting such co-design provide new opportunities in developing cost-efficient, dependable and(More)
We are very pleased to guest edit this special section on Probabilistic Embedded Computing, which features articles on the latest developments in probabilistic hardware, software, and analysis. Recent silicon technology nodes have exhibited less predictable behavior mostly due to their extremely small transistor sizes and the associated impact in terms of(More)
This survey investigates the development of wireless sensor networks and their application to real world problems. It is analyzed how wireless sensor networks differ from existing, common ad-hoc network concepts. The driving forces behind the development of wireless sensor networks are investigated studying a couple of real world applications realized with(More)
The Giotto model is a semantic model that describes the communication between periodic time triggered components. It was developed by Thomas Henzinger and his group. It was designed for deterministic and safety critical applications. The main points about the Giotto model are: 1. A Giotto model is composed of one or more modes and each mode is composed of(More)
The partly halogenated and N-alkylated closo-dodecaborates [B12Cl6H5N(propyl)3]- and [B12Br6H5NR3]- (R = ethyl-pentyl) were prepared by alkylation of [B12H11NH3]- and subsequent halogenation with elemental chlorine or N-bromosuccinimide. Simple metathesis reactions yielded the [HNMe3]+, [C6mim]+, [NBu4]+, and Na+ salts, which were characterized by(More)
Halogenated and alkoxylated closo-dodecaborates [B12X11OR](2-) (X = Cl, Br; R = propyl, octyl, dodecyl) have been synthesized by halogenation of the known [B12H11OH](2-) anion followed by alkylation in the superbasic medium DMSO/KOH. The obtained sodium salts were transformed by simple metathesis reactions in aqueous solution to the tetrabutylammonium(More)