Mathematical models in many fields often consist of coupled sub-models, each of which describes a different physical process. For many applications, the quantity of interest from these models may be written as a linear functional of the solution to the governing equations. Mature numerical solution techniques for the individual sub-models often exist. Rather than derive a numerical solution tec...

To estimate the delay and area of a VLSI circuit before its implementation demands a cost and delay model which should be simple enough to allow a quick and therefore cost-effective paper and pencil analysis. However, common VLSI models are either to complicated resulting in long simulation times or do not consider wire-delays, neglecting their importance in sub-micron and nanotechnologies. Pau...

In this paper, we consider reinitializing level functions through equation /tþ sgnð/Þðkr/k 1Þ 1⁄4 0 [16]. The method of Russo and Smereka [11] is taken in the spatial discretization of the equation. The spatial discretization is, simply speaking, the second order ENO finite difference with subcell resolution near the interface. Our main interest is on the temporal discretization of the equation...

Hans-Joachim Seidel, Alexander zu Hohenlohe-Ingelfingen (1798 – 1829). Opfer, Pechvogel oder Schwarzes Schaf der fürstlichen Familie? Selbstverlag Ulm 2022. 148 S., viele meist s/w Abb. Geb.

In this paper, we are devoted to finding Goethals–Seidel sequences by using k-partition, and based on the finite Parseval relation, construction of could be transformed associated polynomials. Three different structures will presented. We first propose a method T-matrices directly obtain quad sequences. Next, introducing utilize two classes 8-partitions new class polynomials still remaining sam...

The apparent horizon boundary condition (AHBC) appears to be one of the fundamental techniques required for evolving black hole spacetimes using numerical techniques. In this paper, we present work on an AHBC in the context of the recently formulated Bona-Massó (BM) hyperbolic system for the Einstein Evolution equations, however in doing so, we present a technique which is generally causally co...