Simulation of mantle convection on planetary scales is considered a grand-challenge
application even in the exascale era. The reason being the enormous spatial and temporal …

Diagnostic lung imaging is often associated with high radiation dose and lacks sensitivity,
especially for diagnosing early stages of structural lung diseases. Therefore, diagnostic …

This open access book summarizes the research done and results obtained in the second
funding phase of the Priority Program 1648" Software for Exascale Computing"(SPPEXA) of …

In this tutorial we consider the non-linear Bayesian filtering of static parameters in a time-
dependent model. We outline the theoretical background and discuss appropriate solvers …

We introduce new manifold-based splines that are able to exactly reproduce B-splines on
unstructured surface meshes. Such splines can be used in isogeometric analysis (IGA) to …

We suggest an algorithm which allows for generation of a moving adaptive mesh with a fixed
topology according to the time-dependent geometrically adaptive control metric in the …

We consider the construction of a polyhedral Delaunay partition as a limit of the sequence of
power diagrams (in Russian traditionally called radical partitions), while the dual Voronoi …

The conventional WENO scheme is specifically designed for the reconstruction in Cartesian
coordinates on uniform grids [1]. The employment of Cartesian-based reconstruction …

Simulations of cosmic structure formation address multi-scale, multiphysics problems of vast
proportions. These calculations are presently at the forefront of today's use of …