Two end-member geometries, radial flow and ridge-channeled flow, have been proposed for the dispersion of material upwelling beneath Iceland. Seismic anisotropy provides information on mantle flow, and therefore has the potential to discriminate these two geometries. In this study, we combine the HOTSPOT and SIL datasets (39 stations) and select 28 events for teleseismic shear-wave splitting an...

The convergence of various operator splitting procedures, such as the sequential, the Strang and the weighted splitting, is investigated in the presence of a spatial approximation. To this end the relevant notions and results of numerical analysis are presented, a variant of Chernoff’s product formula is proved and the general TrotterKato approximation theorem is used. The methods are applied t...

Since the discovery of the Honda-Fujishima effect of water splitting[1] using a titanium dioxide (TiO2) electrode in the early 1970s, numerous studies have been conducted and are still growing on photocatalytic reactions of TiO2. Titanium dioxide serves as a model case for the mechanistic studies of photocatalysis, but it has a serious drawback as a photocatalyst for water splitting: the band g...

We present a number of new contributions to the topic of constructing efficient higher-order splitting methods for the numerical integration of evolution equations. Particular schemes are constructed via setup and solution of polynomial systems for the splitting coefficients. To this end we use and modify a recent approach for generating these systems for a large class of splittings. In particu...